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Andrey I. Shafarevich

Full list of publications: department page and ISTINA profile (IRID 1486810)

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Titles are translated into English, personal names and Russian-language journal titles are transliterated, and venue information is given in English; ISTINA records are linked where available. The list combines the Russian departmental publication list with the ISTINA profile and contains 298 bibliographic records: 178 journal articles, 21 book chapters and collected papers, 5 books, textbooks and preprints, 12 conference abstracts, 82 conference talks.

Journal articles

178 records

  1. 2026 Alexei Lvovich Semenov (on his 75th birthday) Avetisyan A.I., Anisimov N.Yu, Beklemishev L.D., Belov A.Ya, Gasnikov A.V., Goncharov S.S., Ershov Yu L., Kalmykov S.N., Kozlov V.V., Krasnikov G.Ya, Matiyasevich Yu V., Pentus M.R., Posypkin M.A., Raigorodskii A.M., Remorenko I.M., Rudchenko T.A., Soprunov S.F., Tarasov S.V., Uvarov A.Yu, Shamolin M.V., Shafarevich A.I., Shen A.Kh In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 81, no. 3, pp. 563–575 ISTINA record doi
  2. 2026 Alexey Lvovich Semenov (on his seventy-fifth birthday) Avetisyan Arutyun Ishkhanovich, Anisimov Nikita Yur'evich, Beklemishev Lev Dmitrievich, Belov Aleksei Yakovlevich, Gasnikov Alexander , Goncharov Sergey Savostyanovich, Ershov Yurii Leonidovich, Kalmykov Stepan Nikolaevich, Kozlov Valery Vasil'evich, Krasnikov Gennadii Yakovlevich, Matiyasevich Yuri , Pentus Mati Reinovich, Posypkin Mikhail Anatol'evich, Raigorodskii Andrei Mikhailovich, Remorenko I.M., Rudchenko Tat'yana Aleksandrovna, Soprunov Sergei Fedorovich, Tarasov Sergey , Uvarov Aleksandr Yur'evich, Shamolin Maxim , Shafarevich Andrei Igorevich, Shen' Alexander Khanievich In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 81, no. 3(489), pp. 167–178 ISTINA record doi
  3. 2026 Properties of an Operator Describing Acoustic Black Holes Ivanov N.V., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 33, no. 2, pp. 302–316 ISTINA record doi
  4. 2025 Anatoly Fomenko Bolsinov Alexey Viktorovich, Dobrovolsky Nikolay Mikhailovich, Ivanov Alexander Olegovich, Kudryavtseva E., Oshemkov Andrey Aleksandrovich, Popelensky Fedor Yurievich, Tuzhilin A., Chubarikov Vladimir Nikolaevich, Shafarevich Andrey Igorevich, Manturov V.A. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 26, no. 2, pp. 4–6 ISTINA record doi
  5. 2025 Multi-Scaled Short-Wave Asymptotic Solution ofthe Cauchy Problem to One-Dimensional WaveEquation with Smoothed Jump of the Velocity Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 32, no. 4, pp. 615–633 ISTINA record doi
  6. 2025 Quantization Conditions for a Bundle over a Circle and Semiclassical Spectral Series of the One-Dimensional Schrödinger Operator with a Jump-like Two-Scale Potential Lavrinenko I.A., Shafarevich A.I. In: Proceedings of the Steklov Institute of Mathematics, published by Springer Verlag (Germany), vol. 330, pp. 193–211 ISTINA record doi
  7. 2025 Quantization conditions for a fibration over a circle and semiclassical spectral series of the one-dimensional Schrödinger operator with a jumpy two-scale potential Lavrinenko I.A., Shafarevich A.I. In: Proceedings of the Steklov Institute of Mathematics, published by Steklov Mathematical Institute (Moscow), vol. 330 ISTINA record doi
  8. 2025 Short-wave asymptotic solutions of the wave equation with localized velocity perturbations whose wavelength is not comparable to the scale of localized inhomogeneity. One dimensional case Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 32, no. 1, pp. 1–10 ISTINA record doi
  9. 2025 Short-Wave Asymptotic Solutions of the Wave Equation with Localized Velocity Perturbations Whose Wavelength is not Comparable to the Scale of the Localized Inhomogeneity Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 32, no. 2, pp. 228–238 ISTINA record doi
  10. 2024 Asymptotic behaviour of energy levels of a quantum free particle in an elliptic sector Nikulin M.A., Popelensky Th Yu, Shafarevich A.I. In: Physica Scripta, published by Royal Swedish Academy of Sciences (Sweden), vol. 99, no. 1 ISTINA record doi
  11. 2024 Intermediate asymptotic behavior of solutions to equations of Emden-Fowler type Stepin S.A., Shafarevich A.I. In: Doklady Mathematics, published by Russian Academy of Sciences (Moscow), vol. 520, no. 1, pp. 24–28 ISTINA record doi
  12. 2024 Main Directions and Achievements of the Chair of Differential Geometry and Applications at the Present Stage Fomenko A.T., Shafarevich A.I., Kibkalo V.A. In: Moscow University Mathematics Bulletin, published by Allerton Press Inc. (United States), vol. 79, no. 6, pp. 283–295 ISTINA record doi
  13. 2024 Main directions and achievements of the Department of Differential Geometry and Applications at the present stage Fomenko A.T., Shafarevich A.I., Kibkalo V.A. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 6, pp. 27–37 ISTINA record doi
  14. 2024 Maslov Complex Germ and Semiclassical Contracted States in the Cauchy Problem for the Schrödinger Equation with Delta Potential Shafarevich A.I., Shchegortsova O.A. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 283, no. 1, pp. 139–149 ISTINA record doi
  15. 2024 Quasi-Classical Asymptotics Describing the Electron-Hole Interaction and the Klein Effect for the (2+1)-Dirac Equation in Abruptly Varying Fields Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 31, no. 3, pp. 339–350 ISTINA record doi
  16. 2024 Reconstruction of Maslov’s Complex Germ in the Cauchy Problem for the Schrödinger Equation with a Delta Potential Localized on a Hypersurface Shafarevich A.I., Shchegortsova O.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 31, no. 3, pp. 526–543 ISTINA record doi
  17. 2024 Semiclassical Asymptotics and Particle-Antiparticle Interactions for the Dirac Equations with Abruptly Varying 4-Potential Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 31, no. 4, pp. 577–586 ISTINA record doi
  18. 2024 Semiclassical spectral series of the Laplace operator on the double covering CP1 Ivanov N.V., Shafarevich A.I. In: Transactions of the Moscow Mathematical Society, published by Moscow Center for Continuous Mathematical Education (MCCME) (Moscow), vol. 85, no. 2, pp. 309–322 ISTINA record doi
  19. 2024 Spectral series of the Schrödinger operator with double delta potential at the poles of two-and three-dimensional surfaces of revolution Rykhlov V.V., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 116, no. 6, pp. 969–981 ISTINA record doi
  20. 2024 Vladimir Grigorievich Chirsky (on his 75th birthday) Shafarevich A.I., Deza E.I., Dobrovolsky N.M., Ivanov A.O., Kozko A.I., Krupitsyn E.S., Matveev V.Yu., Nesterenko Yu.V., Semenov A.L., Chubarikov V.N., Shamolin M.V., Dobrovolsky N.N. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 25, no. 3, pp. 5–10 ISTINA record doi
  21. 2023 Igor Rostislavovich Shafarevich (on the centenary of his birthday) Gorchinskiy Sergey, Kulikov Victor, Nikulin Viacheslav, Orlov Dmitri, Osipov Denis, Popov Vladimir, Tyurin Nikolai, Shabat Georgii, Shafarevich Andrei, Shokurov Vyacheslav In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 78, no. 6, pp. 1167–1178 ISTINA record doi
  22. 2023 Igor' Rostislavovich Shafarevich (on the centennary of his birthday) Gorchinsky Sergey Olegovich, Kulikov Viktor Stepanovich, Nikulin Vyacheslav Valentinovich, Orlov Dmitry Olegovich, Osipov Denis Vasilievich, Popov Vladimir Leonidovich, Tyurin Nikolay Andreevich, Shabat Georgy Borisovich, Shafarevich Andrey Igorevich, Shokurov Vyacheslav In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 78, no. 6(474), pp. 187–198 ISTINA record doi
  23. 2023 Quantization of Nonsmooth Curves and the Semiclassical Spectrum of the One-Dimensional Schrödinger Operator with a Localized Perturbation of the Potential Lavrinenko I.A., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 30, no. 2, pp. 209–218 ISTINA record doi
  24. 2023 Sergei Sergeevich Demidov (on his 80th birthday) Shafarevich A.I., Chubarikov V.N., Semenov A.L., Bukhstaber V.M., Ivanov A.O., Tikhomirov V.M., Vizgin Vl P., Chirsky V.G., Kozlov Valery Vasilievich, Kozlov M.V., Zaitsev E.A., Smirnova G.S., Chinenova V.N., Dobrovolsky N.M. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 24, no. 1, pp. 334–355 ISTINA record doi
  25. 2022 90 years since the birth of academician Oleg Borisovich Lupanov (06/02/1932 – 05/03/2006) Alexandrov V.V., Gashkov S.B., Georgievsky D.V., Dudakova O.S., Karlikov V.P., Kashin B.S., Kobelkov G.M., Kovalev M.D., Kozlov V.V., Kolpakov R.M., Kochergin V.V., Lukashenko T.P., Mishchenko A.S., Nesterenko Yu.V., Nigmatulin R.I., Redkin N.P., Sadovnichy V.A., Sergeev I.N., Fomenko A.T., Chashkin A.V., Chubarikov V.N., Shafarevich A.I., Shiryaev A.N., Shkadov V.Ya., A. Shkalikov In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), vol. 3, pp. 3–5 ISTINA record
  26. 2022 Anatolii Mikhailovich Stepin Ageev O.N., Vorobets Ya B., Weiss B., Grigorchuk R.I., Grines V.Z., Gurevich B.M., Efremova L.S., Zhirov A.Yu, Zhuzhoma E.V., Kashin B.S., Kolokoltsov V.N., Kochergin A.V., Lerman L.M., Mykytyuk I.V., Oseledets V.I., Plakhov A.Yu, Pochinka O.V., Ryzhikov V.V., Sakbaev V.Zh, Sergeev A.G., Sinai Ya G., Tagi-Zade A.T., Tikhonov S.V., Thouvenot J.P., Helemskii A.Ya, Shafarevich A.I. In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 77, no. 2, pp. 361–368 ISTINA record doi
  27. 2022 Anatoly Mikhailovich Stepin (obituary) Ageev O.N., Vorobets Ya.B., Weiss B., Grigorchuk R.I., Grines V.Z., Gurevich B.M., Efremova L.S., Zhirov A.Yu., Zhuzhoma E.V., Kashin B.S., Kolokoltsov V.N., Kochergin A.V., Lerman L.M., Mikityuk I.V., Oseledets V.I., Plakhov A.Yu., Pochinka O.V., Ryzhikov V.V., Sakbaev V.Zh., Sergeev A.G., Sinai Ya.G., Tagi-Zade A.T., Tikhonov S.V., Thouvenot J.P., Helemsky A.Ya., Shafarevich A.I. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 77, no. 2 (464), pp. 189–194 ISTINA record doi
  28. 2022 Complex Maslov germ and semiclassical squeezed states in the Cauchy problem for the Schrödinger equation with delta potential Shafarevich A.I., Shchegortsova O.A. In: Contemporary Mathematics. Fundamental Directions, published by RUDN University (Peoples' Friendship University of Russia) (Moscow), vol. 68, no. 4, pp. 704–715 ISTINA record doi
  29. 2022 Maslov’s Complex Germ in the Cauchy Problem for a Wave Equation with a Jumping Velocity Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 29, no. 1, pp. 1–10 ISTINA record doi
  30. 2022 Solution of the Cauchy Problem for the Wave Equation on a Cone with a Non-Friedrichs Laplacian Vlasov A.A., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 29, no. 4, pp. 588–594 ISTINA record doi
  31. 2022 The wave equation with symmetric velocity on the hybrid manifold obtained by gluing a ray to a three-dimensional sphere Shafarevich A.I., Tsvetkova A.V. In: Transactions of the Moscow Mathematical Society, vol. 82, pp. 305–325 ISTINA record doi
  32. 2022 Viktor Nikolaevich Latyshev (obituary) Artamonov V.A., Bokut L.A., Borisenko V.V., Bunina E.I., Bukhstaber V.M., Guterman A.E., Ershov Yu.L., Zaitsev M.V., Kanel-Belov A.Ya., Kemer A.R., Mikhalev A.V., Mishchenko S.P., Novikov S.P., Olshansky A.Yu., Prokhorov Yu.G., Razmyslov Yu.P., Shafarevich A.I., Shestakov I.P. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 77, no. 1(463), pp. 177–182 ISTINA record doi
  33. 2022 WKB method for nonlinear equations of Emden-Fowler type Stepin S.A., Shafarevich A.I. In: Doklady Mathematics, published by Russian Academy of Sciences (Moscow), vol. 502, no. 1, pp. 46–51 ISTINA record doi
  34. 2022 WKB Method for Nonlinear Equations of Emden–Fowler Type Stepin S.A., Shafarevich A.I. In: Doklady Mathematics, published by Maik Nauka/Interperiodica Publishing (Russian Federation), vol. 105, no. 1, pp. 39–44 ISTINA record doi
  35. 2022 Yuri Valentinovich Nesterenko (on his 75th birthday) Shafarevich A.I., Fomenko A.T., Chubarikov V.N., Ivanov A.O., Chirsky V.G., Bernik V.I., Bykovsky V.A., Galochkin A.I., Demidov S.S., Gashkov S.B., Nizhnikov A.I., Fomin A.A., Deza E.I., Kanel-Belov A.Ya., Dobrovolsky N.M., Dobrovolsky N.N., Rebrova I.Yu., Salikhov V.Kh. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 23, no. 1, pp. 10–20 ISTINA record doi
  36. 2022 Yuri Valentinovich Nesterenko (on his 75th birthday) Shafarevich A.I., Fomenko A.T., Chubarikov V.N., Ivanov A.O., Chirsky V.G., Bernik V.I., Bykovsky V.A., Galochkin A.I., Demidov S.S., Gashkov S.B., Nizhnikov A.I., Fomin A.A., Deza E.I., Kanel-Belov A.Ya., Dobrovolsky N.M., Dobrovolsky N.N., Rebrova I.Yu., Salikhov V.Kh. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 23, no. 1(82), pp. 10–20 ISTINA record
  37. 2021 Canonical Operator on Punctured Lagrangian Manifolds Dobrokhotov S.Yu, Nazaikinskii V.E., Schafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 28, no. 1, pp. 22–36 ISTINA record doi
  38. 2021 Effective asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations Dobrokhotov S.Yu., Nazaikinsky V.E., Shafarevich A.I. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 76, no. 5, pp. 3–80 ISTINA record doi
  39. 2021 Efficient asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations Dobrokhotov S.Yu, Nazaikinskii V.E., Shafarevich A.I. In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 76, no. 5, pp. 745–819 ISTINA record doi
  40. 2021 In memory of Vyacheslav Aleksandrovich Artamonov Shafarevich A.I., Chubarikov V.N., Orlov D.O., Ivanov A.O., Mikhalev A.V., Chirsky V.G., Olshansky A.Yu., Zaitsev M.V., Kozhukhov I.B., Kanel-Belov A.Ya., Dobrovolsky N.M., Dobrovolsky N.N., Rebrova I.Yu., Balaba I.N. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 22, no. 5, pp. 417–418 ISTINA record
  41. 2021 Localization and Spreading of Asymptotic Solutions of a Hyperbolic Equation with Variable Coefficients Describing Waves in a Channel of Variable Cross Section Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 28, no. 1, pp. 2–7 ISTINA record doi
  42. 2021 Reflection and Refraction of Lagrangian Manifolds Corresponding to Short-Wave Solutions of the Wave Equation with an Abruptly Varying Velocity Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 28, no. 2, pp. 137–146 ISTINA record doi
  43. 2021 To the 70th anniversary of Professor V. N. Chubarikov Alexandrov V.V., Gashkov S.B., Georgievsky D.V., Karlikov V.P., Kashin B.S., Kobelkov G.M., Kozlov V.V., Lukashenko T.P., Mishchenko A.S., Nesterenko Yu.V., Nigmatulin R.I., Popov O.V., Sadovnichy V.A., Sergeev I.N., Fedorov G.V., Fomenko A.T., Shafarevich A.I., Shiryaev A.N., Shkadov V.Ya., Shkalikov A.A. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 5, pp. 69–71 ISTINA record
  44. 2021 Viktor Markov (06/21/1948–07/15/2019) Adrianov N.M., Artamonov V.A., Balaba I.N., Bakhturin Yu.A., Bokut L.A., Borisenko V.V., Bunina E.I., Gaifullin S.A., Glavatsky S.T., Golubchik I.Z., Gonzalez S., Grishin A.V., Guterman A.E., Dubrovin N.I., Zaitsev M.V., Zelmanov E.I., Ilyina N.K., Kanel-Belov A.Ya., Kanunnikov A.L., Kislitsyn E.S., Klyachko A.A., Kozhukhov I.B., Kreines E.M., Kulikova O.V., Lukashenko T.P., Markova O.V., Martinez K., Mikhalev A.A., Mikhalev A.V., Olshansky A.Yu., Pentus A.E., Petrov A.V., Prokhorov Yu.G., Pchelintsev S.V., Tenzina V.V., Timashev D.A., Tuganbaev A.A., Tumaikin I.N., Kharchenko V.K., Chubarov I.A., Shafarevich A.A., Shafarevich A.I., Shestakov I.P., Shirshova E.E., Shpilrain V.E. In: Fundamental and Applied Mathematics, published by KnoRus Publishing House (Moscow), vol. 23, no. 2, pp. 3–16 ISTINA record
  45. 2021 Vladimir Nikolaevich Chubarikov (on his 70th birthday) Shafarevich A.I., Fomenko A.T., Ivanov A.O., Demidov S.S., Gashkov S.B., Nizhnikov A.I., Fomin A.A., Deza E.I., Kanel-Belov A.Ya., Dobrovolsky N.M., Dobrovolsky N.N., Rebrova I.Yu. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 22, no. 5, pp. 5–15 ISTINA record
  46. 2021 Wave equation with symmetric velocity on a hybrid manifold formed by gluing a ray to a three-dimensional sphere Tsvetkova A.V., Shafarevich A.I. In: Transactions of the Moscow Mathematical Society, published by Moscow Center for Continuous Mathematical Education (MCCME) (Moscow), vol. 82, no. 2, pp. 369–392 ISTINA record
  47. 2020 Anatoly Fomenko Bolsinov A.V., Dobrovolsky N.M., Ivanov A.O., Kudryavtseva E.A., Oshemkov A.A., Popelensky F.Yu., Tuzhilin A.A., Chubarikov V.N., Shafarevich A.I. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 21, no. 2, pp. 5–7 ISTINA record doi
  48. 2020 Asymptotic Solutions of a System of Gas Dynamics with Low Viscosity that Describe Smoothed Discontinuities Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 27, no. 4, pp. 411–423 ISTINA record doi
  49. 2020 Asymptotics of solving the wave equation with radially symmetric velocity on the simplest decorated graph with arbitrary conditions at the gluing point Tsvetkova A.V., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 107, no. 3, pp. 442–453 ISTINA record doi
  50. 2020 Asymptotics of the Solution of a Wave Equation with Radially Symmetric Velocity on the Simplest Decorated Graph with Arbitrary Boundary Conditions at the Gluing Point Tsvetkova A.V., Shafarevich A.I. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 107, no. 3-4, pp. 478–487 ISTINA record doi
  51. 2020 Localized Asymptotic Solution of a Variable-Velocity Wave Equation on the Simplest Decorated Graph Tsvetkova A.V., Shafarevich A.I. In: Proceedings of the Steklov Institute of Mathematics, published by Springer Verlag (Germany), vol. 308, no. 1, pp. 250–260 ISTINA record doi
  52. 2020 Localized Asymptotic Solution of a Variable-Velocity Wave Equation on the Simplest Decorated Graph with Initial Conditions on a Surface Tsvetkova A.V., Shafarevich A.I. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 108, no. 3-4, pp. 590–602 ISTINA record doi
  53. 2020 Localized asymptotic solution of the wave equation with variable speed on the simplest decorated graph Tsvetkova A.V., Shafarevich A.I. In: Proceedings of the Steklov Institute of Mathematics, published by Steklov Mathematical Institute (Moscow), vol. 308, pp. 265–275 ISTINA record doi
  54. 2020 Localized asymptotic solution of the wave equation with variable speed on the simplest decorated graph with initial conditions on the surface Tsvetkova A.V., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 108, no. 4, pp. 601–616 ISTINA record doi
  55. 2020 Semiclassical Asymptotics of the Solution to the Cauchy Problem for the Schrödinger Equation with a Delta Potential Localized on a Codimension 1 Surface Shafarevich A.I., Shchegortsova O.A. In: Proceedings of the Steklov Institute of Mathematics, published by Springer Verlag (Germany), vol. 310, no. 1, pp. 304–313 ISTINA record doi
  56. 2020 Semiclassical asymptotics of the solution to the Cauchy problem for the Schrödinger equation with a delta potential localized on a surface of codimension 1 Shafarevich A.I., Shchegortsova O.A. In: Proceedings of the Steklov Institute of Mathematics, published by Steklov Mathematical Institute (Moscow), vol. 310 ISTINA record doi
  57. 2020 Short-Wave Asymptotic Solutions of the Wave Equation with Localized Perturbations of the Velocity Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 27, no. 2, pp. 145–154 ISTINA record doi
  58. 2019 Cauchy Problem for the Wave Equation on the Simplest Decorated Graph with Initial Conditions Localized on a Surface Shafarevich A.I., Tsvetkova A.V. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 26, no. 2, pp. 227–236 ISTINA record doi
  59. 2019 Conic Lagrangian Varieties and Localized Asymptotic Solutions of Linearized Equations of Relativistic Gas Dynamics Allilueva A.I., Shafarevich A.I. In: Regular and Chaotic Dynamics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 24, no. 6, pp. 671–681 ISTINA record doi
  60. 2019 Double asymptotic expansion of the resolving operator of the Cauchy problem for a linearized gas dynamics system Allilueva A.I., Shafarevich A.I. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 484, no. 2, pp. 134–137 ISTINA record doi
  61. 2019 Double Asymptotic Expansion of the Resolving Operator of the Cauchy Problem for the Linearized System of Gas Dynamics Allilueva A.I., Shafarevich A.I. In: Doklady Mathematics, published by Maik Nauka/Interperiodica Publishing (Russian Federation), vol. 99, no. 1, pp. 16–19 ISTINA record doi
  62. 2019 Evolution of Lagrangian manifolds and asymptotic solutions for the linearized equations of gas dynamics Allilueva A.I., Shafarevich A.I. In: Regular and Chaotic Dynamics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom) ISTINA record doi
  63. 2019 Lagrangian Tori and Quantization Conditions Corresponding to Spectral Series of the Laplace Operator on a Surface of Revolution with Conical Points Shafarevich A.I. In: Proceedings of the Steklov Institute of Mathematics, published by Springer Verlag (Germany), vol. 307, no. 1, pp. 294–302 ISTINA record doi
  64. 2019 Lagrangian tori and quantization conditions corresponding to spectral series of the Laplace operator on a surface of revolution with conical points Shafarevich A.I. In: Proceedings of the Steklov Institute of Mathematics, published by Steklov Mathematical Institute (Moscow), vol. 307 ISTINA record doi
  65. 2019 Localized solutions for linearized MHD equations and interaction of Alfven modes Allilueva A.I., Shafarevich A.I. In: Magnetohydrodynamics, published by Consultants Bureau (United States), vol. 55, no. 1-2, pp. 15–21 ISTINA record doi
  66. 2019 Maslov’s Canonical Operator in Problems on Localized Asymptotic Solutions of Hyperbolic Equations and Systems Nazaikinskii V.E., Shafarevich A.I. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 106, no. 3, pp. 402–411 ISTINA record doi
  67. 2019 On the canonical Maslov operator in problems on localized asymptotic solutions of hyperbolic equations and systems Nazaikinsky V.E., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 106, no. 3, pp. 424–435 ISTINA record doi
  68. 2019 Remarks on Asymptotic Solutions of Linearized Equations of Relativistic Hydrodynamics Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 26, no. 4, pp. 409–411 ISTINA record doi
  69. 2019 Short-Wave Asymptotic Solutions of a Linearized System of Relativistic Gas Dynamics Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 26, no. 3, pp. 255–264 ISTINA record doi
  70. 2018 An analogue of the canonical Maslov operator for localized functions and its application to the description of rapidly decreasing asymptotic solutions of hyperbolic equations and systems Nazaikinsky V.E., Shafarevich A.I. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 479, no. 6, pp. 611–615 ISTINA record doi
  71. 2018 Analogue of Maslov's Canonical Operator for Localized Functions and Its Applications to the Description of Rapidly Decaying Asymptotic Solutions of Hyperbolic Equations and Systems Nazaikinskii V.E., Shafarevich A.I. In: Doklady Mathematics, published by Maik Nauka/Interperiodica Publishing (Russian Federation), vol. 97, no. 2, pp. 177–180 ISTINA record doi
  72. 2018 Asymptotic solutions for MHD systems with a rapid jump near a moving surface Allilueva A.I., Shafarevich A.I. In: Fluid Dynamics Research, published by IOP Publishing ([Bristol, UK], England), vol. 50, no. 1, pp. 011410 ISTINA record doi
  73. 2018 Lagrangian Manifolds and Maslov Indices Corresponding to the Spectral Series of the Schr¨odinger Operators with Delta-potentials Shafarevich A.I. In: Geometric Methods in Physics XXXV, Trends in Mathematics, pp. 109–115 ISTINA record doi
  74. 2018 Localized Asymptotic Solution of the Wave Equation with a Radially Symmetric Velocity on the Simplest Decorated Graph Shafarevich A.I., Tsvetkova A.V. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 25, no. 3, pp. 333–344 ISTINA record doi
  75. 2018 Localized asymptotic solutions of linearized equations of gas dynamics Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 25, no. 4, pp. 415–422 ISTINA record doi
  76. 2018 Localized Solutions of the Schr¨odinger Equation on Hybrid Spaces. Relation to the Behavior of Geodesics and to Analytic Number Theory Shafarevich A.I. In: Springer Proceedings in Mathematics and Statistics, vol. 273, pp. 183–193 ISTINA record doi
  77. 2018 Maslov complex germ and semiclassical spectral series, corresponding to singular invariant curves of partially integrable Hamiltonian systems Shafarevich A.I. In: Regular and Chaotic Dynamics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 23, no. 7-8, pp. 842–849 ISTINA record doi
  78. 2018 Semiclassical Eigenfunctions of the Schrödinger Operator on a Graph That Are Localized Near a Subgraph Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 25, no. 2, pp. 139–147 ISTINA record doi
  79. 2017 A quasiclassical limit of the spectrum of a Schrodinger operator with complex periodic potential Nekhaev Dmitrii V., Shafarevich Andrei I. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 208, no. 10, pp. 1535–1556 ISTINA record doi
  80. 2017 Fomenko Invariants in the Asymptotic Theory of the Navier–Stokes Equations Maslov Victor Pavlovich, Shafarevich Andrey Igorevich In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 225, no. 4, pp. 666–680 ISTINA record doi
  81. 2017 Localized asymptotic solutions of a linearized magnetohydrodynamics system Allilueva A.I., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 102, no. 6, pp. 807–815 ISTINA record doi
  82. 2017 Localized asymptotic solutions of the linearized system of magnetic hydrodynamics Allilueva A.I., Shafarevich A.I. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 102, no. 5-6, pp. 737–745 ISTINA record doi
  83. 2017 Localized Asymptotic Solutions of the Wave Equation with Variable Velocity on the Simplest Graphs Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 24, no. 3, pp. 279–289 ISTINA record doi
  84. 2017 New integral representations of the canonical Maslov operator in special charts Dobrokhotov S.Yu., Nazaikinsky V.E., Shafarevich A.I. In: Izvestiya: Mathematics, vol. 81, no. 2, pp. 53–96 ISTINA record doi
  85. 2017 New integral representations of the Maslov canonical operator in singular charts Dobrokhotov S.Yu, Nazaikinskii V.E., Shafarevich A.I. In: Izvestiya. Mathematics, published by American Mathematical Society (United States), vol. 81, no. 2, pp. 286–328 ISTINA record doi
  86. 2017 Non-standard characteristics and localized asymptotic solutions of a linearized magnetohydrodynamics system with low viscosity and resistance Alliluyeva Anna Ivanovna, Shafarevich Andrey Igorevich In: Theoretical and Mathematical Physics, published by Steklov Mathematical Institute (Moscow), no. 1, pp. 191–204 ISTINA record doi
  87. 2017 Nonstandard characteristics and localized asymptotic solutions of a linearized magnetohydrodynamic system with small viscosity and drag Allilueva A.I., Shafarevich A.I. In: Theoretical and Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 190, no. 1, pp. 164–175 ISTINA record doi
  88. 2017 On the Distribution of Energy of Localized Solutions of the Schr¨odinger Equation that Propagate Along Symmetric Quantum Graphs Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 24, no. 2, pp. 139–147 ISTINA record doi
  89. 2017 On the kernel of the Laplace operator on two-dimensional polyhedra Lukzen E.N., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 24, no. 6 ISTINA record doi
  90. 2017 Semiclassical limit of the spectrum of the Schrödinger operator with complex periodic potential Nekhaev Dmitry Vadimovich, Shafarevich Andrey Igorevich In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), no. 10, pp. 126–148 ISTINA record doi
  91. 2016 Asymptotic solutions of a magnetohydrodynamic system which describe smoothed discontinuities Allilueva A.I., Shafarevich A.I. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 99, no. 5-6, pp. 795–809 ISTINA record doi
  92. 2016 Asymptotic solutions of the magnetohydrodynamics system describing smoothed discontinuities Allilueva A.I., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 99, no. 6, pp. 803–819 ISTINA record doi
  93. 2016 Asymptotic support of localized solutions of the linearized system of magnetohydrodynamics Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 23, no. 4, pp. 425–430 ISTINA record doi
  94. 2016 Behavior of quasi-particles on hybrid spaces. Relations to the geometry of geodesics and to the problems of analytic number theory Chernyshev Vsevolod L., Tolchennikov Anton A., Shafarevich Andrei I. In: Regular and Chaotic Dynamics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 21, no. 5, pp. 531–537 ISTINA record doi
  95. 2016 Cauchy problem for the wave equation on a homogeneous tree Tsvetkova A.V., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 100, no. 6, pp. 923–931 ISTINA record
  96. 2016 Evolution of localized asymptotic solutions for linearized Navier - Stokes and MHD equations Allilueva A.I., Shafarevich A.I. In: Journal of Physics: Conference Series, published by IOP Publishing ([Bristol, UK], England), no. 1, pp. 012046 ISTINA record
  97. 2016 Geometrical and Asymptotical Properties of Non-Selfadjoint Induction Equation with the Jump of the Velocity Field. Time Evolution and Spatial Structure of the Magnetic Field Allilueva A.I., Shafarevich A.I. In: Springer Proceedings in Physics, vol. 184, pp. 11–29 ISTINA record doi
  98. 2016 Maslov's canonical operator in arbitrary coordinates of a Lagrangean manifold Dobrokhotov S.Yu., Nazaikinsky V.E., Shafarevich A.I. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), no. 6, pp. 641 ISTINA record
  99. 2016 Maslov's canonical operator in arbitrary coordinates on the Lagrangian manifold Dobrokhotov S.Yu, Nazaikinskii V.E., Shafarevich A.I. In: Doklady Mathematics, published by Maik Nauka/Interperiodica Publishing (Russian Federation), vol. 93, no. 1, pp. 99–102 ISTINA record doi
  100. 2016 On the distribution of energy of localized solutions of the Schrödinger equation that propagate along symmetric quantum graphs Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), no. 2, pp. 244–250 ISTINA record
  101. 2016 The Cauchy problem for the wave equation on homogeneous trees Tsvetkova A.V., Shafarevich A.I. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 100, no. 5-6, pp. 862–869 ISTINA record doi
  102. 2015 Academician Anatoly Fomenko Zelikin M.I., Ivanov Alexander Olegovich, Kashin B.S., Mishchenko A.S., Nesterenko Yuri Valentinovich, Oshemkov A.A., Popelensky F.Yu., Sadovnichy V.A., Tuzhilin A.A., Chubarikov V.N., Shafarevich A.I., Shiryaev A.N. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 6, pp. 66–68 ISTINA record
  103. 2015 Asymptotic Solutions for Linear and Nonlinear MHD Systems with a Rapid Jump near a Surface. Dynamics of the Surfaceof the Jump and Evolution of the Magnetic Field Allilueva A.I., Shafarevich A.I. In: Regular and Chaotic Dynamics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 20, no. 6, pp. 691–700 ISTINA record
  104. 2015 Asymptotic Solutionsof Linearized Navier–Stokes EquationsLocalized in Small Neighborhoodsof Curves and Surfaces Allilueva A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 22, no. 4, pp. 421–426 ISTINA record
  105. 2015 Delta-Type Solutions for the Non-Hermitian System of Induction Equations Allilueva A.I., Shafarevich A.I. In: International Journal of Theoretical Physics, published by Kluwer Academic/Plenum Publishers (United States), vol. 54, no. 11, pp. 3932–3944 ISTINA record doi
  106. 2015 Fomenko invariants in the asymptotic theory of the Navier-Stokes equations Maslov V.P., Shafarevich A.I. In: Fundamental and Applied Mathematics, published by KnoRus Publishing House (Moscow), vol. 20, no. 3, pp. 191–212 ISTINA record
  107. 2015 New representations of the canonical Maslov operator and localized asymptotic solutions of strictly hyperbolic systems Allilueva A.I., Dobrokhotov S.Yu., Sergeev S.A., Shafarevich A.I. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 464, no. 3, pp. 261–266 ISTINA record
  108. 2015 New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems Allilueva A.I., Dobrokhotov S.Yu, Sergeev S.A., Shafarevich A.I. In: Doklady Mathematics, published by Maik Nauka/Interperiodica Publishing (Russian Federation), vol. 92, no. 2, pp. 548–553 ISTINA record doi
  109. 2014 Asymptotic solutions of the Navier–Stokes equations and topological invariants of vector fields and Liouville foliations Maslov V.P., Shafarevich A.I. In: Theoretical and Mathematical Physics, published by Steklov Mathematical Institute (Moscow), vol. 180, no. 3, pp. 245–263 ISTINA record doi
  110. 2014 Asymptotics of the spectrum and eigenfunctions of the magnetic induction operator on a compact two-dimensional surface of revolution Esina A.I., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 95, no. 3, pp. 417–432 ISTINA record
  111. 2014 Delta-type Solutions for the system of induction equations withdiscontinuous velocity field Esina A.I., Shafarevich A.I. In: Methods of Functional Analysis and Topology, vol. 20, no. 1, pp. 17–33 ISTINA record
  112. 2014 Schrödinger equations on graphs and singular spaces: spectral properties and semiclassical dynamics of localized packets Tolchennikov A.A., Chernyshev V.L., Shafarevich A.I. In: Nanostructures. Mathematical Physics and Modelling, vol. 11, no. 2 ISTINA record
  113. 2014 Semiclassical Asymptotics of Eigenvalues for Non-Selfadjoint operators and Quantization Conditions on Riemann Surfaces Esina A.I., Shafarevich A.I. In: Acta Polytechnica, vol. 54, no. 2, pp. 101–105 ISTINA record
  114. 2014 Solutions of the Wave Equation on Hybrid Spaces of Constant Curvature Shafarevich A.I., Tsvetkova A.V., Manuilov V.M. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 21, no. 4, pp. 509–520 ISTINA record
  115. 2014 Solutions of the Wave Equation on Hybrid Spaces of Constant Curvature Shafarevich A.I., Tsvetkova A.V. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 21, no. 4, pp. 509–520 ISTINA record
  116. 2014 Statistics of Gaussian packets on metric and decorated graphs Chernyshev V.L., Shafarevich A.I. In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, published by Royal Society of London (United Kingdom), vol. 372, no. 2007, pp. 20130145 ISTINA record
  117. 2013 Analogs of Bohr-Sommerfeld-Maslov Quantization Conditions on Riemann Surfaces and Spectral Series of Nonself-adjoint Operators Esina A.I., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 20, no. 2, pp. 172–181 ISTINA record
  118. 2013 Spectral Series of the Schrodinger Operator with Delta-Potential on a Three-Dimensional Spherically Symmetric Manifold Ratiu T.S., Suleimanova A.A., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 20, no. 3, pp. 326–335 ISTINA record
  119. 2012 Asymptotic Solutions of the Navier–Stokes Equations and Systems of Stretched Vortices Filling Three-Dimensional Sufaces Maslov V.P., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 91, no. 2, pp. 207–216 ISTINA record
  120. 2012 Non-compact Lagrangian manifolds corresponding to spectral series of the Schrödinger operator with a delta potential on a surface of revolution Ratju T.S., Filatova T.A., Shafarevich A.I. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 446, no. 6, pp. 618–620 ISTINA record
  121. 2011 Application of the Canonical Operator to the Description of Self-Focusing Soliton-Like Solutions of the Kadomtsev–Petviashvili Equation Maslov V.P., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 18, no. 2, pp. 510–512 ISTINA record
  122. 2011 Asymptotic Solutions of the Navier–Stokes Equations Describing Periodic Systems of Localized Vortices Maslov V.P., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 90, no. 5, pp. 686–700 ISTINA record
  123. 2010 Asymptotic properties and classical dynamical systems in quantum problems on singular spaces Tolchennikov A.A., Chernyshev V.L., Shafarevich A.I. In: Nelineinaya Dinamika, published by Izhevsk Institute of Computer Science (Izhevsk), vol. 6, no. 3, pp. 623–638 ISTINA record
  124. 2010 Asymptotic properties of the classical dynamical systems in quantum problems on singular spaces Tolchennikov A.A., Chernyshev V.L., Shafarevich A.I. In: Nelineinaya Dinamika, published by Izhevsk Institute of Computer Science (Izhevsk), vol. 6, no. 3, pp. 623–638 ISTINA record
  125. 2010 Quantization conditions on Riemann surfaces and semiclassical spectrum of the Schrödinger operator with complex potential Esina A.I., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 88, no. 2, pp. 229–248 ISTINA record
  126. 2010 Semiclassical Asymptotic Behavior of the Spectrum of a Nonselfadjoint Elliptic Operator on a Two-Dimensional Surface of Revolution Homaioon Roohian, Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 17, no. 3, pp. 328–333 ISTINA record
  127. 2010 Semiclassical spectral series of the Schrödinger operator with delta potential on the line and on the sphere Filatova T.A., Shafarevich A.I. In: Theoretical and Mathematical Physics, published by Steklov Mathematical Institute (Moscow), vol. 164, no. 2, pp. 279–298 ISTINA record
  128. 2009 On the works of D.F. Egorov on differential geometry Nikonov I.M., Fomenko A.T., Shafarevich A.I. In: Historical and Mathematical Studies. Series 2, no. 13, pp. 49–53 ISTINA record
  129. 2009 Spectral series of a non-self-adjoint elliptic operator on a sphere Homaiun Rukhian, Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 16, no. 4 ISTINA record
  130. 2009 To the 75th anniversary of the death of Dmitry Fedorovich Egorov Nikonov I.M., Fomenko A.T., Shafarevich A.I. In: Historical and Mathematical Studies. Series 2, no. 13(48), pp. 49–53 ISTINA record
  131. 2008 Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations Dobrokhotov S.Yu, Shafarevich A.I., Tirozzi B. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 15, no. 2, pp. 192–221 ISTINA record
  132. 2008 Propagation of Gaussian wave packets in quantum thin periodic waveguides with nonlocal nonlinearity Bruning J., Dobrokhotov S.Yu., Nekrasov R.V., Shafarevich A.I. In: Theoretical and Mathematical Physics, published by Steklov Mathematical Institute (Moscow), vol. 155, no. 2, pp. 215–235 ISTINA record
  133. 2008 Semiclassical asymptotics and statistical properties of Gaussian packets for the nonstationary Schrödinger equation on a geometric graph Chernyshev V.L., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 15, no. 1, pp. 25–34 ISTINA record
  134. 2007 Cauchy -- Riemann relations and singular asymptotic solutions to the linearized shallow water equations Dobrokhotov S.Yu, Tirozzi B., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 14, no. 2, pp. 217–222 ISTINA record
  135. 2007 Quantization of periodic motions on compact surfaces of constant negative curvature in a magnetic field Bruning J., Nekrasov R.V., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 81, no. 1, pp. 32–42 ISTINA record
  136. 2007 Representations of rapidly decreasing functions by the canonical Maslov operator Dobrokhotov S.Yu., Tirozzi B., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 82, no. 5, pp. 792–796 ISTINA record
  137. 2007 Semiclassical spectrum of the Schrödinger operator on a geometric graph Chernyshev V.L., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 82, no. 4, pp. 606–620 ISTINA record
  138. 2006 Quantized Riemann surfaces and semiclassical spectral series for the non-self-adjoint Schrödinger operator with periodic coefficients Galtsev S.V., Shafarevich A.I. In: Theoretical and Mathematical Physics, published by Steklov Mathematical Institute (Moscow), vol. 148, no. 2, pp. 206–226 ISTINA record
  139. 2006 Rapidly oscillating symptotic solutions of the Navier -- Stokes equations, coherent structures, Fomenko invariants, Kolmogorov spectrum and flicker noise Maslov V.P., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 13, no. 4, pp. 14–25 ISTINA record
  140. 2006 Semiclassical quantization of Riemann surfaces and spectral problem for non-selfadjoint Shroedinger operator Galtsev S.V., Shafarevich A.I. In: Advances in Contemporary Mathematics, vol. 12, no. 2, pp. 12–51 ISTINA record
  141. 2006 Spectrum and pseudospectrum of a non-self-adjoint Schrödinger operator with periodic coefficients Galtsev S.V., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 80, no. 3, pp. 356–366 ISTINA record
  142. 2005 Cauchy-Riemann conditions and localized asymptotic solutions of equations of shallow water theory Dobrokhotov S.Yu., Tirozzi B., Shafarevich A.I. In: Applied Mathematics and Mechanics, vol. 69, no. 2, pp. 804–809 ISTINA record
  143. 2005 Integrable Hamiltonian systems with invariant surfaces of arbitrary kind and their semiclassical quantization Zotov V.V., Shafarevich A.I. In: Proceedings of the Seminar on Vector and Tensor Analysis, vol. 26, pp. 285–301 ISTINA record
  144. 2004 On asymptotic solutions of nonlinear equations in the presence of turning points Maslov V.P., Shafarevich A.I. In: Differential Equations, published by Nauka Publishing House (Moscow), vol. 40, no. 5, pp. 736–741 ISTINA record
  145. 2003 Topology of low-dimensional manifolds and geometry of Hamiltonian systems with applications to physics and mechanics Hayat-Legrand C., Fomenko A.T., Shafarevich A.I. In: French-Russian A.M.Liapunov Institute for Applied Mathematics and Computer Science. Transactions, vol. 4, pp. 190–199 ISTINA record
  146. 2002 Asymptotical and topological constructions in hydrodynamics Shafarevich A.I. In: Operator Theory: Advances and Applications, vol. 137, pp. 347–359 ISTINA record
  147. 2000 Asymptotic description of vortex filaments in an incompressible fluid Shafarevich A.I. In: Applied Mathematics and Mechanics, vol. 64, no. 2, pp. 266–277 ISTINA record
  148. 2000 Asymptotic solutions of the Navier–Stokes equations describing smoothed tangential discontinuities Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 67, no. 6, pp. 938–949 ISTINA record
  149. 2000 Localized Asymptotic Solutions of the Navier–Stokes Equations and Topological Invariants of Vector Fields. Prandtl–Maslov Equations on Reeb Graphs and Fomenko Invariants Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 7, no. 4, pp. 426–463 ISTINA record
  150. 2000 Tunnel splitting of the spectrum of Laplace–Beltrami operators on two-dimensional surfaces with quadratically integrable geodesic flow Dobrokhotov S.Yu., Shafarevich A.I. In: Functional Analysis and Its Applications, published by Nauka Publishing House (Moscow), vol. 34, no. 2, pp. 67–69 ISTINA record
  151. 1999 Momentum" tunneling between tori and the splitting of eigenvalues of the Beltami-Laplace operator on Liouville surfaces Dobrokhotov S.Yu., Shafarevich A.I. In: Mathematical Physics Analysis and Geometry, published by Springer Nature (Switzerland), vol. 2, pp. 141–177 ISTINA record
  152. 1998 Behavior of a magnetic field in a conducting fluid with a rapidly changing velocity field Shafarevich A.I. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 360, no. 1, pp. 1–3 ISTINA record
  153. 1998 Differential equations on graphs describing asymptotic solutions of the Navier-Stokes equations, concentrated in a small neighborhood of the curve Shafarevich A.I. In: Differential Equations, published by Nauka Publishing House (Moscow), vol. 34, no. 8, pp. 1119–1130 ISTINA record
  154. 1998 Equations on graphs and asymptotic solutions of the ``narrow jets'' type of the Navier-Stokes system Shafarevich A.I. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 53, no. 4, pp. 187–187 ISTINA record
  155. 1998 Generalized Prandtl-Maslov equations on graphs describing stretched vortices in an incompressible fluid Shafarevich A.I. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 358, no. 6, pp. 752–756 ISTINA record
  156. 1998 Laminar wake in arbitrary external flow Maslov V.P., Shafarevich A.I. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 356, no. 4, pp. 476–480 ISTINA record
  157. 1998 Localized asymptotic solutions of the Navier-Stokes equations and laminar wakes in an incompressible fluid Maslov V.P., Shafarevich A.I. In: Applied Mathematics and Mechanics, vol. 62, no. 3, pp. 424–432 ISTINA record
  158. 1997 Closed trajectories and two-dimensional tori in the quantum Kepler problem with variable anisotropy Dobrokhotov S.Yu., Olive V.M., Shafarevich A.I. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 355, no. 3, pp. 267–272 ISTINA record
  159. 1997 Quantum selection in the semiclassical approximation of isotropic tori of partially integrable Hamiltonian systems Dobrokhotov S.Yu., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 5, no. 2, pp. 299–302 ISTINA record
  160. 1996 Asymptotic theory of localized solutions of the Navier-Stokes equations with low viscosity Maslov V.P., Shafarevich A.I. In: Moscow University Bulletin, published by Editorial Board of the Journal (Moscow), vol. 1, no. 6, pp. 16–18 ISTINA record
  161. 1996 Laminar asymptotic solutions of the Navier-Stokes equations, localized in a small neighborhood of the curve, and their microscale perturbations Maslov V.P., Shafarevich A.I. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 351, no. 1, pp. 52–55 ISTINA record
  162. 1996 Magnetic field asymptotics in a well conducting fluid Dobrokhotov S.Yu., Olive V.M., Ruzmaikin A.A., Shafarevich A.I. In: Geophysical and Astrophysical Fluid Dynamics, published by Taylor & Francis (United Kingdom), vol. 82, pp. 255–280 ISTINA record
  163. 1996 On the behavior of the velocity field of an incompressible fluid at infinity Dobrokhotov S.Yu., Shafarevich A.I. In: Izvestiya Rossiiskoi Akademii Nauk. Mekhanika Zhidkosti i Gaza, no. 4, pp. 38–42 ISTINA record
  164. 1995 Asymptotic solutions of the Hartree equation, concentrated at in a small neighborhood of the curve Vakulenko S.A., Maslov V.P., Molotkov I.A., Shafarevich A.I. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 345, no. 6, pp. 587–591 ISTINA record
  165. 1995 Closed trajectories and two-dimensional tori in the quantum problem for a three-dimensional resonant anharmonic oscillator Dobrokhotov S.Yu., Olive V.M., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 3, no. 1, pp. 133–138 ISTINA record
  166. 1995 Sobre la teoría asintótica de ecuaciones diferenciales parciales con coeficientes que varían rápidamente. Su relación con la teoría espectral y las fases geométricas Shafarevich A.I. In: Sociedad Matematica Mexicana. Aportaciones matematicas. Serie Comunicaciones, vol. 16, pp. 455–463 ISTINA record
  167. 1994 Behavior as t→∞ of rapidly decreasing asymptotic solutions of the linearized Navier–Stokes equations Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 55, no. 6, pp. 124–145 ISTINA record
  168. 1994 Behavior at infinity of localized solutions of the Navier-Stokes equations Shafarevich A.I. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 49, no. 4, pp. 107–107 ISTINA record
  169. 1994 Some integral identities and remarks on the decay at infinity of localized solutions of the Navier-Stokes equations in the entire space Dobrokhotov S.Yu., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 2, no. 1, pp. 133–136 ISTINA record
  170. 1993 An example of the diffusion approximation method as applied to the density function of a one-dimensional oscillator Chebotarev Alexander M., Dobrokhotov Sergei Yu, Shafarevich Andrei I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 1, no. 3, pp. 391–396 ISTINA record
  171. 1993 An example of the diffusion approximation method for the density function of a one-dimensional oscillator Dobrokhotov S.Yu., Chebotarev A.M., Shafarevich A.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 1, no. 3, pp. 391–396 ISTINA record
  172. 1993 Semiclassical asymptotics and complex Maslov germ in linearized Navier-Stokes equations Dobrokhotov S.Yu., Olive V.M., Shafarevich A.I. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 48, no. 4, pp. 220–221 ISTINA record
  173. 1993 Some asymptotic solutions of the linearized Navier–Stokes equations Dobrokhotov S.Yu., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 53, no. 1, pp. 25–35 ISTINA record
  174. 1992 Parametrix and asymptotics of localized solutions of the Navier–Stokes equations in R3, linearized on a smooth flow Dobrokhotov S.Yu., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 51, no. 1, pp. 72–82 ISTINA record
  175. 1991 Asymptotic rapidly decreasing solutions of linear strictly hyperbolic systems with variable coefficients Dobrokhotov S.Yu., Zhevandrov P.N., Maslov V.P., Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 49, no. 4, pp. 31–46 ISTINA record
  176. 1989 Semiclassical scattering of wave packets on a narrow layer in which the potential changes rapidly Shafarevich A.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 45, no. 1, pp. 106–114 ISTINA record
  177. 1987 Semiclassical asymptotics in the Cauchy problem for the Schrödinger equation with a rapidly varying soliton-like potential Dobrokhotov S.Yu., Shafarevich A.I. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 42, no. 4, pp. 132–132 ISTINA record
  178. 1987 Semiclassical asymptotics in the problem of scattering of wave packets on a rapidly changing potential Dobrokhotov S.Yu., Shafarevich A.I. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 295, no. 6, pp. 1347–1352 ISTINA record

Book chapters and collected papers

21 records

  1. 2021 Parametrix and Localized Solutions for Linearized Equations of Gas Dynamics Allilueva A.I., Shafarevich A.I. In Differential Equations on Manifolds and Mathematical Physics, Trends in Mathematics series, BIRKHAUSER VERLAG AG (VIADUKSTRASSE 40-44, PO BOX 133, BASEL,SWITZERLAND, CH-4010), p. 1-10 ISTINA record doi
  2. 2018 Quantization conditions on Riemannian surfaces and spectral series of non-selfadjoint operators Shafarevich A. In Conference on Formal and Analytic Solutions of Diff. Equations, FASdiff 2017, Springer Proceedings in Mathematics and Statistics series, Springer New York LLC, vol. 256, p. 177-187 ISTINA record doi
  3. 2016 Geometrical and asymptotical properties of non-selfadjoint induction equation with the jump of the velocity field. Time evolution and spatial structure of the magnetic field Allilueva A.I., Shafarevich A.I. In the proceedings of the 15th International Conference on Non-Hermitian Hamiltonians in Quantum Physics, PHHQP 2015, p. 11-27 ISTINA record
  4. 2010 Classical dynamical systems in quantum problems on geometric graphs Shafarevich A.I. In: Proceedings of the conference "Regular and Chaotic Dynamics", dedicated to the 60th anniversary of V.V. Kozlova, published in Izhevsk ISTINA record
  5. 2009 Quantization conditions on Riemann surfaces, spectral series of non-self-adjoint operators and spatial structure of the magnetic field in a conducting liquid Shafarevich A.I. In: Proceedings of the conference "New mathematical models in continuum mechanics", published in Novosibirsk ISTINA record
  6. 2004 Geometric and spectral properties of Calogero -- Strocci systems Shafarevich A.I. In: Proceedings if the international conference ``Differential Equations and Related Topics'', dedicated to I.G. Petrovsky, p. 123-124 ISTINA record
  7. 2004 Spatial structure and time evolution of fluid flows. Asymptotical, geometrical and group-thepretical methods Shafarevich A.I. In: Reihe Mathematik, preprint Nr. 03/2004, BTU Cottbus, p. 1-53 ISTINA record
  8. 2003 Geometric description and semiclassical spectral series for Calogero -- Strocci systems Shafarevich A.I. In: Proceedings of the International Conference ``Day of Diffraction-2003 ISTINA record
  9. 2001 Asymptotic solutions for equations of hydrodynamics and topological invariants of divergence-free vector fields Shafarevich A.I. In: Proceedings if the international conference ``Differential Equations and Related Topics'', dedicated to the Centenary Anniversary of I.G. Petrovsky, p. 369-371 ISTINA record
  10. 2001 Asymptotic solutions for equations of magnetohydrodynamics and topological inariants of Liouville foliations Shafarevich A.I. In: Proceedings of the International Conference ``Day of Diffraction-2001, p. 56-56 ISTINA record
  11. 2000 Complex Lagrangian manifolds and splitting of eigenvalues for Laplace operators on 2D-surfaces with quadratically integrable geodesic flow Shafarevich A.I. In: Proceedings of the symposium ``Theory of partial differential equations'', dedicated to the 150th anniversary of the birth of S.V. Kovalevskaya, p. 57-58 ISTINA record
  12. 1998 Asymptotic solutions for Navier-Stokes equations snd topological invariants of divergence-free vector fields Shafarevich A.I. In: Proceedings of the International Conference dedicated to L.S. Pontryagin's 90th anniversary, published in Moscow, p. 95-97 ISTINA record
  13. 1998 Semiclassical quantization of invariant isotropic manifolds of Hamiltonian systems Dobrokhotov S.Yu., Shafarevich A.I. In: Topological methods in the theory of Hamiltonian systems (ed. Fomenko A.T., Bolsinov A.V.), published in Factorial Moscow, p. 41-114 ISTINA record
  14. 1997 Differential equations on graphs describing localized asymptotic solutions of the Navier-Stokes equations and elongated vortices in an incompressible fluid Shafarevich A.I. In: of the Institute of Problems of Mechanics RAS N 604 ISTINA record
  15. 1997 Localized asymptotic solutions of the Navier-Stokes equations describing laminar wakes, jets and tongues in an incompressible fluid Maslov V.P., Shafarevich A.I. In: Preprint of the Institute of Problems of Mechanics RAS N 586 ISTINA record
  16. 1997 Momentum" tunneling between tori and splitting of eigenvalues for Beltami-Laplace operator on Liouville surfaces Dobrokhotov S.Yu., Shafarevich A.I. In: Preprint of the Institute of Problems of Mechanics RAS N 586 ISTINA record
  17. 1993 Asymptotics in kinematic dynamo Dobrokhotov S.Yu., Olive V.M., Ruzmaikin A.A., Shafarevich A.I. In: Centro de Investigación y de Estudios Avanzados. Reporte Interno, published in Mexico, vol. 142 ISTINA record
  18. 1993 Exponentially growing localized solutions for linearized Navier Shafarevich A.I. In: Proceedings of the First Russian - Mexican Conference on asymptotic methods, applied mathematics and mechanics, published in Mexico ISTINA record
  19. 1990 Evolution of localized disturbances in inhomogeneous dispersive-free media Dobrokhotov S.Yu., Zhevandrov P.N., Shafarevich A.I. In: Oscillations and waves in liquids and gases, published in Gorky, p. 45-53 ISTINA record
  20. 1989 Semiclassical asymptotics of transmitted and reflected waves in the Cauchy problem for the Schrödinger equation with a rapidly varying soliton-like potential Shafarevich A.I. In: Proceedings of the XIV All-Union School on the theory of operators in function spaces, published in Novgorod, vol. 3, p. 90 ISTINA record
  21. 1988 Short-wave asymptotics in a linearized system of hydrodynamic equations with rapidly varying coefficients Dobrokhotov S.Yu., Shafarevich A.I. In: Asymptotic properties of solutions of ordinary differential equations, published in: BSC Ural Branch of the USSR Academy of Sciences Ufa, p. 17-28 ISTINA record

Books, textbooks and preprints

5 records

  1. 2014 Course of visual geometry and topology Oshemkov A.A., Popelensky F.Yu., Tuzhilin A.A., Fomenko A.T., Shafarevich A.I. URSS publishing house, Leland Moscow, ISBN 978-5-9710-0970-2, 360 pp. ISTINA record
  2. 2011 Classical differential geometry Shafarevich A.I. MIPT Publishing House Moscow, 132 p. ISTINA record
  3. 2005 Lectures on differential geometry Shafarevich A.I. RRC ``Kurchatov Institute'', Institute of Natural Sciences and Ecology Moscow, 87 p. ISTINA record
  4. 1997 Introducción a los métodos asintóticos de la física matemática Shafarevich A.I. Textos de matemáticas avanzadas, Universidad de Sonora Mexico ISTINA record
  5. 1997 Introduction to asymptotic methods of mathematical physics Shafarevich A.I. Textos de Matemáticas Avanzadas, Universidad de Sonora, Mexico

Conference abstracts

12 records

  1. 2024 Asymptotic spectral series of Schrödinger operator with delta-potential at the poles of surfaces of revolution Rykhlov V.V., Shafarevich A.I. In: XIV Belarusian Mathematical Conference, dedicated to the 65th anniversary of the Institute of Mathematics of the National Academy of Sciences of Belarus: materials of the International Scientific Conference, Minsk, October 28 - November 1, 2024. In three parts. Part 2, series 978-985-08-3223-8 (part 2), 978-985-08-3221-4, published by Belaruskaya Navuka (Minsk), vol. 2, abstracts, p. 117-117 ISTINA record
  2. 2024 Asymptotic spectral series of the Schrödinger operator with delta potential at the poles of two-and three-dimensional surfaces of revolution Rykhlov V.V., Shafarevich A.I. In: Collection of abstracts of the All-Russian conference ASYMPTOTIC METHODS in MATHEMATICAL PHYSICS dedicated to the memory of Viktor Pavlovich Maslov, June 17-19, 2024, published in HSE, abstracts ISTINA record
  3. 2024 Isotropic surfaces and complex vector bundles corresponding to the Schrödinger equation with a delta potential Shafarevich A.I., Shchegortsova O.A. In: International conference Days on Diffraction 2021 Abstracts, abstracts, p. 52 ISTINA record
  4. 2024 Semiclassical asymptotics for the Schrödinger equation with delta potential Shafarevich A.I., Shchegortsova O.A. In: All-Russian conference "Asymptotic methods in mathematical physics", dedicated to the memory of V.P. Maslov, Collection of abstracts, published in Moscow, abstracts ISTINA record
  5. 2024 Spectral series of the Schrödinger operator with delta potential at the poles of two-and three-dimensional surfaces of revolution Rykhlov V.V., Shafarevich A.I. In: Collection of abstracts of the IV Conference of Mathematical Centers of Russia, dedicated to the 300th anniversary of St. Petersburg State University and the Russian Academy of Sciences, abstracts ISTINA record
  6. 2024 Spectral series of the Schrödinger operator with double delta potential on a three-dimensional spherically symmetric manifold Rykhlov V.V., Shafarevich A.I. In: International Conference "Days on Diffraction 2024", Abstracts, publishing place PDMI St. Petersburg, abstracts ISTINA record
  7. 2023 Maslov complex germ in the Cauchy problem for the Schrödinger equation with delta potential Shafarevich A.I., Shchegortsova O.A. In: International conference Days on Diffraction 2023 Abstracts, published in PDMI St. Petersburg, abstracts, p. 58-59 ISTINA record
  8. 2023 Semiclassical asymptotic solutions of the Schrodinger Equation with a delta-potential and rapidly oscillating initial conditions Shafarevich A.I., Shchegortsova O.A. In: 4th International Conference on INTEGRABLE SYSTEMS & NONLINEAR DYNAMICS (ISND–2023), Yaroslavl, September 25-29, 2023 (Abstracts), published in Filigree Yaroslavl, abstracts, p. 136 ISTINA record
  9. 2021 Semiclassical asymptotics of the solution to the problem of scattering of Gaussian beams on a delta-potential Shafarevich A.I., Shchegortsova O.A. In: International conference Days on Diffraction 2021 Abstracts, published in PDMI St.Petersburg, abstracts ISTINA record
  10. 2010 Spectral series of a non-self-adjoint operator on a surface of revolution Shafarevich A.I. In: Materials of the international scientific conference "Modern problems of analysis and teaching of mathematics" dedicated to the 105th anniversary of academician Sergei Mikhailovich Nikolsky, published in MSU Moscow, abstracts ISTINA record
  11. 2009 Geometric and asymptotic properties of differential operators on graphs and hybrid spaces Shafarevich A.I. In: Proceedings of the conference <<Modern problems of mathematics, mechanics and their applications>>, dedicated to the 70th anniversary of V.A. Sadovnichy, published in MSU Moscow, vol. 30, abstracts ISTINA record
  12. 2005 Asymptotic behavior of eigenvalues of a non-self-adjoint periodic operator Galtsev S.V., Shafarevich A.I. In: Materials of the XII International Scientific Conference of Students, Postgraduate Students and Young Scientists “Lomonosov-2005” (April 15-19, 2005), series Economics, published in Humanities Moscow, vol. 6, abstracts ISTINA record

Conference talks

82 records

  1. 2026 Non-Euclidean geometry: a Christian view (to the 200th anniversary of the geometry of N.I. Lobachevsky) Shafarevich A.I. Lecture hall on the Sparrow Hills of the Trinity Church and Moscow State University, Moscow, Russia, June 15, 2016 - June 15, 2031
  2. 2025 Fundamental mathematics in education and interdisciplinary research Shafarevich Andrey Igorevich All-Russian Congress of Teachers of Mathematics and Biology, Moscow, Russia, December 1-2, 2025
  3. 2025 Spectral series of the Schrödinger operator with delta potential on surfaces of revolution Rykhlov V.V., Shafarevich A.I. 15th ISAAC Congress July 21-25, 2025, Nazarbayev University, Astana, Kazakhstan, Astana, Kazakhstan, July 21-25, 2025
  4. 2024 Asymptotic spectral series of Schrödinger operator with delta-potential at the poles of surfaces of revolution Rykhlov V.V., Shafarevich A.I. XIV Belarusian Mathematical Conference dedicated to the 65th anniversary of the Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk, Belarus, October 28 - November 1, 2024
  5. 2024 Asymptotic Spectral Series of Shrödinger Operator with Delta Potential Localized at the Poles of Surfaces of Revolution Rykhlov V.V., Shafarevich A.I. Integrated systems and quantum theory 2024, St. Petersburg State University, Russia, September 23-28, 2024
  6. 2024 Asymptotic spectral series of the Schrödinger operator with delta potential at the poles of two-and three-dimensional surfaces of revolution Rykhlov V.V., Shafarevich A.I. All-Russian conference "Asymptotic methods in mathematical physics", dedicated to the memory of V.P. Maslov, Moscow, Institute of Problems of Mechanics. A.Yu. Ishlinsky, Faculty of Physics, Moscow State University. M.V. Lomonosov, Russia, June 17-19, 2024
  7. 2024 Isotropic surfaces and complex vector bundles corresponding to the Schrödinger equation with a delta potential Shafarevich A.I., Shchegortsova O.A. Days on Diffraction 2024, Russia, June 10-14, 2024
  8. 2024 Quasi-classical asymptotics describing the electron-hole interaction and the Klein effect for the (2+1)-Dirac equation in discontinuously varying fields Allilueva A.I., Shafarevich A.I. Diffraction Days, St. Petersburg, Russia, June 10 - December 14, 2024
  9. 2024 Semiclassical asymptotics for the Schrödinger equation with delta potential Shafarevich A.I., Shchegortsova O.A. All-Russian conference "Asymptotic methods in mathematical physics", dedicated to the memory of V.P. Maslov, Moscow, Institute of Problems of Mechanics. A.Yu. Ishlinsky, Faculty of Physics, Moscow State University. M.V. Lomonosov, Russia, June 17-19, 2024
  10. 2024 Spectral series of the Schrödinger operator with delta potential at the poles of two-and three-dimensional surfaces of revolution Rykhlov V.V., Shafarevich A.I. IV Conference of Russian Mathematical Centers, dedicated to the 300th anniversary of St. Petersburg State University and the Russian Academy of Sciences, St. Petersburg, Russia, August 6-11, 2024
  11. 2024 Spectral Series of the Schrödinger Operator with Double Delta Potential on a Three-Dimensional Spherically Symmetric Manifold Rykhlov V.V., Shafarevich A.I. Days on Diffraction 2024, Russia, June 10-14, 2024
  12. 2023 Current state of the theory of the canonical operator Maslov V.P., Dobrokhotov S.Yu., Nazaikinsky V.E., Shafarevich A.I. International Conference on Mathematical Physics, dedicated to the centenary of the birth of V. S. Vladimirov (Vladimirov-100), Moscow, Russia, January 9-14, 2023
  13. 2023 Maslov complex germ in the Cauchy problem for the Schrödinger equation with delta potential Shafarevich A.I., Shchegortsova O.A. Days on Diffraction 2023, St. Petersburg, Russia, June 5-9, 2023
  14. 2023 Semiclassical asymptotic solutions of the Schrodinger Equa-tion with a delta-potential and rapidly oscillating initial conditions Shafarevich A.I., Shchegortsova O.A. 4nd International Conference on Integrated Systems and Nonlinear Dynamics (ISND 2023), Yaroslavl, Russia, September 25-29, 2023
  15. 2022 Fibers over Lagrangian surfaces and semiclassical quantization of systems with abruptly varying coefficients Shafarevich A.I. Geometry Days in Novosibirsk - 2022, Mathematical Center in Akademgorodok August 29 - September 2, 2022 Novosibirsk, Russia, August 29 - September 2, 2022
  16. 2022 Geometric Construction and Dynamics of Lagrangian Manifolds and Complex Vector Bundles Corresponding to Short-Wave Solutions of Hyperbolic Equations with Abruptly Varying Coefficients Shafarevich A.I. Dynamics in Siberia 2022, Novosibirsk, Russia, February 28 - March 5, 2022
  17. 2022 Lagrangian manifolds and Hamiltonian systems, corresponding to asymptotic solutions of PDE's with singularities Shafarevich A.I. Lobachevsky Readings, satellite conference for the International Congress of Mathematicians (ICM, July 6-14, 2022). Kazan Federal University, 06.30–04.07 2022, Kazan, Russia, June 30 - July 4, 2022
  18. 2022 Short-wave asymptotic solutions for evolution equations with singular coefficients Shafarevich A.I. Saint-Petersburg Conference in Spectral Theory and Mathematical Physics, dedicated to the memory of M.Sh. Birman, St. Petersburg, Russia, June 22-26, 2022
  19. 2022 Short-wave asymptotics for evolutionary equations with abruptly varying coefficients Shafarevich A.I. Ninth International Conference on Differential and Functional-Differential Equations (Moscow, Russia, June 28 - July 5, 2022). = The 9th International Conference on Differential and Functional Differential Equations (Moscow, Russia), Moscow, RUDN University, Russia, June 28 - July 5, 2022
  20. 2022 Short-wavelength asymptotics for equations with abruptly changing coefficients Shafarevich A.I. December readings, Institute of Mathematics SB RAS, Novosibirsk, Russia, December 20-21, 2022
  21. 2021 Semiclassical asymptotics of the solution to the problem of scattering of Gaussian beams on a delta-potential Shafarevich A.I., Shchegortsova O.A. Days on Diffraction 2021, St. Petersburg, Russia, May 31 - June 4, 2021
  22. 2020 Branching of Lagrangian manifolds and asymptotic solutions of evolution equations with delta potentials and rapidly changing coefficients Shafarevich A.I. Third All-Russian Scientific Conference “December Readings in Tomsk”, Tomsk, Tomsk State University, Russia, December 8-13, 2020
  23. 2020 Lagrangian manifolds and modifications of the canonical Maslov operator corresponding to localized solutions of hyperbolic systems Shafarevich A.I. International Conference on Differential Equations and Dynamical Systems, Suzdal, Russia, July 3-8, 2020
  24. 2020 Lagrangian Tori and Quantization Conditions Corresponding to Spectral Series of the Laplace Operator on a Surface of Revolution with Conical Points Shafarevich A.I. Dynamics in Siberia, Novosibirsk, IM SORAN, Russia, February 24-29, 2020
  25. 2020 Localized asymptotic solutions of hyperbolic systems, homogeneous Lagrangian manifolds and modifications of Maslov canonic operator Shafarevich A.I. International Conference on Mathematical Physics in memory of Academician V. S. Vladimirov (within the framework of the thematic program "New Trends in Mathematical Physics"), Moscow, Russia, November 23-27, 2020
  26. 2020 Seminar meeting dedicated to the memory of V.N. Latyshev Shafarevich A.I., Mikhalev A.V., Kanel-Belov A.Ya., Bokut L.A. Research seminar of the Department of Higher Algebra of Moscow State University, Moscow, Moscow State University, State Plant, room. 1302, Russia, September 28, 2020
  27. 2019 Hamiltonian systems and Lagrangian manifolds, corresponding to linearized equations of relativistic hydrodynamics Shafarevich A.I. Scientific heritage of Sergey A. Chaplygin: nonholonomic mechanics, vortex structures and hydrodynamics, Cheboksary, Russia, June 2-6, 2019
  28. 2019 Lagrangian manifolds and quantization rules corresponding to spectral series of the Laplace operator on a surface with a conical point Shafarevich A.I. VIII Russian-Armenian Meeting on Mathematical Physics, Complex Analysis and Related Issues, Moscow, Russia, September 16-20, 2019
  29. 2019 Lagrangian manifolds and quantization rules, corresponding to semi-classical eigenvalues of the Schrödinger equation on a surface with conic singularity Shafarevich A.I. Geometry Days in Novosibirsk –2019, Novosibirsk, Russia, August 26-30, 2019
  30. 2019 Laplacians and wave equations on polyhedral surfaces Shafarevich A.I. International scientific conference “Infinite-dimensional analysis and mathematical physics”, Moscow, Russia, January 28 - February 1, 2019
  31. 2019 Laplacians and wave equations on two-dimensional polyhedra Shafarevich A.I. International scientific conference “Modern Problems of Mathematics and Mechanics”, dedicated to the 80th anniversary of Academician V. A. Sadovnichy, Moscow State University. M.V. Lomonosov, Russia, May 13-15, 2019
  32. 2019 Localized asymptotic solutions of hyperbolic systems. Wavefronts and Lagrangian manifolds Shafarevich A.I. All-Russian conference and school for young scientists dedicated to the 100th anniversary of the birth of Academician of the Russian Academy of Sciences L.V. Ovsyannikov ''Mathematical problems of continuum mechanics''. May 13-17, 2019, Novosibirsk, Novosibirsk, Russia, May 13-17, 2019
  33. 2019 Semiclassical states, corresponding to separatrices of classical Hamiltonian systems Shafarevich A.I. PT-Symmetry and Physics with Non-Hermitian Hamiltonians, TSFM, Sanya, China, March 18-22, 2019
  34. 2019 Semiclassical states, corresponding to singular curves of classical Hamiltonian systems Shafarevich A.I. Analytic and algebraic methods in physics XVI, University of Prague, Czech Republic, September 10-13, 2019
  35. 2018 An example for the diffusion approximation method as applied to the density function of a one-dimensional oscillator Dobrokhotov S.Yu, Shafarevich A.I. Dynamics in Sibiria, Novosibirsk, Russia, February 26 - March 4, 2018
  36. 2018 Asymptotic solutions for linearized gas dynamics equations Allilueva A.I., Shafarevich Andrey Igorevich Conference "Operators, Functions and Systems of Mathematical Physics" (OFSMPC), Khazar University, Baku, Azerbaijan, May 21-24, 2018
  37. 2018 Asymptotic solutions to the Cauchy problem for a linearized system of gas dynamics equations with rapidly oscillating initial conditions Shafarevich A.I., Allilueva A.I. 61st All-Russian Scientific Conference MIPT, Dolgoprudny, Russia, November 19-25, 2018
  38. 2018 Asymptotics of magnetic field in a well conducting fluid on a 2D surface of revolution Shafarevich A.I. The Third Russian Conference on Magnetohydrodynamics, Perm, Russia, June 18-21, 2018
  39. 2018 Classical dynamics on a graph and semiclassical eigenfunctions of the Schrödinger operator that are localized near a subgraph Allilueva A.I., Shafarevich Andrey Igorevich Integrated systems and nonlinear dynamics, Yaroslavl, Russia, October 1-5, 2018
  40. 2018 Evolution of small localized perturbations in a well conducting fluid Shafarevich Andrey Igorevich, Alliluyeva A.I. The Third Russian Conference on Magnetohydrodynamics, Perm, Russia, June 18-21, 2018
  41. 2018 Hermitian and Non-Hermitian Laplacians and Wave Equaions on Polyhedral Surfaces Shafarevich A.I. Non-Hermitian Physics - PHHQP XVIII, Bangalore, India, 06/04-13/2018, Bangalore, India, June 4-13, 2018
  42. 2018 Laplacian and wave equation on polyhedra Shafarevich A.I. International Conference on Differential Equations and Dynamical Systems 2018, Suzdal, Russia, July 6-11, 2018
  43. 2018 Laplacians and wave equations on two-dimensional polyhedra Shafarevich A.I. International conference “Modern mathematical physics. Vladimirov-95”, Moscow, Russia, November 12-16, 2018
  44. 2018 Laplacians and wave equations on two-dimensional polyhedra Shafarevich A.I. International Conference on Partial Differential Equations and Applications in Memory of Professor B.Yu. Sternin, Moscow, Russia, November 6-9, 2018/ , Moscow, Russia, November 6-9, 2018
  45. 2018 Localized Eigenfunctions of Hermitian and Non-Hermitian Schrödinger Operators on Geometric Graphs Shafarevich Andrey Igorevich, Alliluyeva A.I. Non-Hermitian Physics - PHHQP XVIII, Bangalore, India, 06/04-13/2018, Bangalore, India, June 4-13, 2018
  46. 2018 Parametrix and asymptotics of rapidly varying solutions for linearized equations of gas dynamics Allilueva A.I., Shafarevich Andrey Igorevich International Conference on Partial Differential Equations and Applications in Memory of Professor B.Yu. Sternin, Moscow, Russia, November 6-9, 2018/ , Moscow, Russia, November 6-9, 2018
  47. 2018 Properties of harmonic functions and solutions of the wave equation on polyhedra Shafarevich A.I. Dynamics in Sibiria, Novosibirsk, Russia, February 26 - March 4, 2018
  48. 2018 Semiclassical quantization of complex vector bundles over singular invariant curves of Hamiltonian systems Shafarevich A.I. Integrated systems and nonlinear dynamics, Yaroslavl, Russia, October 1-5, 2018
  49. 2018 Semiclassical quantization of complex vector bundles over singular invariant curves of Hamiltonian systems Shafarevich A.I. Topological structures in mathematics, physics and biology, Sosnovka, Russia, 09.14-18.09 2018 , Sosnovka, Russia, September 14-18, 2018
  50. 2018 Short-wave asymptotic solutions of linearized gas dynamics equations Allilueva A.I., Shafarevich Andrey Igorevich Scientific hearings dedicated to the 110th anniversary of the birth of S.A. Khristianovich "Modern problems of mechanics and mathematics." , Moscow, Russia, November 15-16, 2018
  51. 2018 Short-wave solutions of linearized magnetic dynamics equations Allilueva A.I., Shafarevich A.I. XXIII International Conference “Nonlinear problems of the theory of hydrodynamic stability and turbulence”, Moscow region, Zvenigorod, Russia, February 25 - March 4, 2018
  52. 2018 Singular Lagrangian manifolds, corresponding to asymptotic theory of differential operators on singular spaces Shafarevich A.I. International conference “Days of Geometry in Novosibirsk - 2018”, Institute of Mathematics named after S.L. Sobolev SB RAS, Novosibirsk State University, Russia, September 19-22, 2018
  53. 2018 Spectral properties of the Laplacian on two-dimensional polyhedra Shafarevich A.I. Conference "Operators, Functions and Systems of Mathematical Physics" (OFSMPC), Khazar University, Baku, Azerbaijan, May 21-24, 2018
  54. 2017 Differential equations on hybrid spaces Shafarevich A.I. Days of the Faculty of Mechanics and Mathematics of Moscow State University at Yanka Kupala University, Grodno, 29.05 - 01.06 2017, Yanka Kupala University, Belarus, 29 May - 1 June 2017
  55. 2017 Differential equations on polytopes: Laplacians and Lagrangian manifolds, corresponding to semiclassical motion Shafarevich A.I. XXXVI Workshop on Geometric Methods in Physics, Bialowieza, Poland, July 2-8, 2017
  56. 2017 Evolution of localized solutions of linearized magnetohydrodynamic equations Allilueva A.I., Shafarevich A.I. International conference on mathematical control theory and mechanics. July 7 - 11, 2017. Suzdal, Russia. , Suzdal city, Vladimir region, Russia, July 7-11, 2017
  57. 2017 Hermitian and Non-Hermitian Schr¨odinger operators on polyhedral surfaces Shafarevich A.I. Non-Hermitian Hamiltonians in Physics: Theory and Experiment, Bad Honnef, Germany, May 15-20, 2017
  58. 2017 Laplace operator and a wave equation on polyhedrons Shafarevich A.I. International Conference "Dynamics in Siberia", February 26 - March 4, Novosibirsk, Russia, Institute of Mathematics named after S.L. Sobolev SB RAS, Novosibirsk, Russia, February 26 - March 4, 2017
  59. 2017 Laplacian and wave equation on polyhedra Shafarevich A.I. International conference on mathematical control theory and mechanics. July 7 - 11, 2017. Suzdal, Russia. , Suzdal city, Vladimir region, Russia, July 7-11, 2017
  60. 2017 Laplacians and localized solutions of wave equations on polyhedral surfaces Shafarevich A.I. Rapidly changing asymptotics in stationary and nonstationary problems of mathematical physics. , Poncelet Laboratory, Russia, September 11-14, 2017
  61. 2017 Localized asymptotic solutions of the system of magnetic hydrodynamics equations Allilueva A.I., Shafarevich A.I. Rapidly changing asymptotics in stationary and nonstationary problems of mathematical physics. , Poncelet Laboratory, Russia, September 11-14, 2017
  62. 2017 Localized solutions of the wave equation on simple graphs Allilueva A.I., Shafarevich Andrey Igorevich Modern problems of fundamental and applied sciences 2016, Moscow, Russia, November 20-25, 2017
  63. 2017 Propagation of the energy of a solution to the wave equation on quantum graphs Shafarevich Andrey Igorevich, Alliluyeva A.I. Non-self-adjoint Hamiltonians in physics: theory and experiment, Bad Honnef, Germany, May 15-19, 2017
  64. 2017 Quantization condotions on Riemannian surfaces and spectral series of non-selfadjoint operators Shafarevich A.I. Formal and Analytic Solutions od Differential Equations-17, Alcala de Henares, Spain, September 4-8, 2017
  65. 2016 Asymptotic equations of the magnetohydrodynamics system describing smoothed discontinuities Shafarevich A.I. XXII International Conference “Nonlinear Problems of the Theory of Hydrodynamic Stability and Turbulence”, Moscow region. Zvenigorod, boarding house "Zvenigorodsky" RAS, Russia, February 14-21, 2016
  66. 2016 Asymptotic Solutions for Linear and Nonlinear MHD Systems with a Rapid Jump near a Surface. Dynamics of the Surface of the Jump and Evolution of the Magnetic Field Shafarevich A.I. Helicity, Structures and Singularity in Fliud and Plasma Dynamics, Venice, Italy, April 11-15, 2016
  67. 2016 Classical Hamiltonian systems, Lagrangian manifolds and Maslov indices, corresponding to spectra of Schrödinger operators with delta-potentials Shafarevich A.I. GDIS-2016, Udmurt State University, Izhevsk, Russia, June 2-5, 2016
  68. 2016 Evolution of localized asymptotic solutions of the MHD equations and linearized Navier–Stokes equations Shafarevich A.I. All-Russian conference dedicated to the 70th anniversary of the birth of corresponding member. RAS V.M. Teshukova ‘’Nonlinear waves: theory and new applications’’, Novosibirsk, Russia, February 29 - March 2, 2016
  69. 2016 Hermitian, Pseudo-Hermitian and PT-symmetric Hamiltonians on graphs and singular spaces. Geometrical, asymptotical and statistical properties of the time-dependent Schr¨odinger equation Shafarevich A.I. PHHQP-2016, Kyoto, Japan, August 8-12, 2016
  70. 2016 Lagrangian manifolds and Maslov indices corresponding to the spectral series of the Schr¨odinger operators with delta-potentials Shafarevich A.I. XXXV WORKSHOP ON GEOMETRIC METHODS in PHYSICS, Bialowieza, Poland, June 26 - July 2, 2016
  71. 2016 Lagrangian manifolds, classical Hamiltonian systems and Maslov indices corresponding to the spectral series of the Schrödinger operators with delta-potentials Shafarevich A.I. Conference “Dynamics in Siberia”, February 29 – March 4, 2016, Novosibirsk. , Novosibirsk, Russia, February 29 - March 4, 2016
  72. 2016 Laplace operator with general matching conditions and wave equation on a homogeneous tree Tsvetkova A.V., Shafarevich A.I. International Conference on Differential Equations and Dynamical Systems, Suzdal, Russia, July 8-12, 2016
  73. 2016 The Laplacian on a homogeneous tree with general matching conditions. The wave equation Shafarevich A.I., Tsvetkova A.V. Days on Diffraction 2016, St. Petersburg, Russia, June 27 - July 1, 2016
  74. 2015 Asymptotic solutions of linear and nonlinear MHD equations describing smoothed discontinuities Shafarevich A.I. NONLINEAR WAVES: THEORY AND NEW APPLICATIONS, Novosibirsk, Russia, March 2-7, 2015
  75. 2015 Dynamics of two-dimensional surfaces and discontinuity profiles of solutions to nonlinear MHD equations Shafarevich A.I. International scientific conference "Nonlinear methods in physics and mechanics", Yaroslavl, Russia, October 1-3, 2015
  76. 2015 Geometric ideas in physics Shafarevich A.I. International conference "Mathematics in the life of society: achievements, problems, prospects", Moscow State University named after M.V. Lomonosov, Lomonosov building, Russia, April 23-25, 2015
  77. 2015 Geometrical and Asymptotical Properries of Non-Selfadjoint Equations of MagnetoHydrodynamics Shafarevich A.I. PHHQP-2015, Palermo, Italy, May 18-23, 2015
  78. 2015 Lagrangian manifolds and Maslov indices corresponding to the spectral series of Schr¨odinger operators with delta-potentials on symmetric manifolds Shafarevich A.I. Conference Geoquant 2015, Madrid, Spain, September 14-19, 2015
  79. 2015 Localized solutions of the Navier-Stokes equations Shafarevich A.I. 58th scientific conference of MIPT with international participation (November 23-28, 2015, Moscow, Russia), Moscow, MIPT, Russia, November 23 - December 28, 2015
  80. 2015 Magnetic field evolution in a conducting fluid with a jump of the velocity field Shafarevich A.I. Second Russian Conference on Magnetic Hydrodynamics, Perm, Russia, June 22-25, 2015
  81. 2014 Geometric and statistical properties of equations on singular spaces Shafarevich A.I. International conference “Spectral Theory and Differential Equations”, dedicated to the 100th anniversary of B. M. Levitan, Lomonosov Moscow State University, 2014
  82. 2014 Quantization of Riemann surfaces and spectral properties of non-selfadjoint operators Shafarevich A.I. Pseudo-Hermititan Hamiltonians in Quantum Physics, Setif, Algeria, 2014