Persons: Shafarevich Andrei Igorevich, List of publications

RUS ENG

Full version

PEOPLE

Shafarevich Andrei Igorevich

Publications

by years

scientific publications

by types




2025
1.	T. Bakiev, A. I. Bufetov, V. A. Vassiliev, S. M. Voronin, A. A. Glutsyuk, A. S. Gorodetski, A. V. Dukov, V. Yu. Kaloshin, A. V. Klimenko, V. V. Kozlov, S. B. Kuksin, S. K. Lando, V. S. Oganesyan, G. I. Olshanski, S. Yu. Pilyugin, O. V. Pochinka, Ya. G. Sinai, A. S. Skripchenko, A. L. Skubachevskii, I. A. Taimanov, V. A. Timorin, V. M. Tikhomirov, D. V. Treschev, D. A. Filimonov, K. M. Khanin, H. Hedenmalm, A. G. Khovanskii, M. A. Tsfasman, A. I. Shafarevich, I. S. Shilin, S. Yu. Yakovenko, “On the 80th birthday of Yulij Sergeevich Ilyashenko”, Russian Math. Surveys, 80:2 (2025), 345–357

2024
2.	M. A. Nikulin, Th. Yu. Popelensky, A. I. Shafarevich, “Asymptotic behaviour of energy levels of a quantum free particle in an elliptic sector”, Phys. Scr., 99:1 (2024), 015207 ;
3.	V. V. Rykhlov, A. I. Shafarevich, “Spectral series of the Schrödinger operator with delta potential at the poles of two- and three-dimensional surfaces of revolution”, Math. Notes, 116:6 (2024), 1350–1360
4.	A. I. Shafarevich, O. A. Shchegortsova, “Reconstruction of Maslov's complex germ in the Cauchy problem for the Schrödinger equation with a delta potential localized on a hypersurface”, Russ. J. Math. Phys., 31:3 (2024), 526–543 ;
5.	A. I. Alillueva, A. I. Shafarevich, “Quasi-classical asymptotics describing the electron-hole interaction and the Klein effect for the (2+1)-Dirac equation in abruptly varying fields”, Russ. J. Math. Phys., 31:3 (2024), 339–350 ;
6.	S. A. Stepin, A. I. Shafarevich, “Intermediate asymptotics for solutions to equations of Emden–Fowler type”, Dokl. Math., 110:3 (2024), 469–473
7.	A. T. Fomenko, A. I. Shafarevich, V. A. Kibkalo, “Main recent directions and achievments of the Chair of Differential Geometry and Applications”, Moscow University Mathematics Bulletin, 79:6 (2024), 283–295
8.	A. I. Shafarevich, E. I. Deza, N. M. Dobrovolskii, A. O. Ivanov, A. I. Kozko, E. S. Krupitsyn, V. Y. Matveev, Y. V. Nesterenko, A. L. Semenov, V. N. Chubarikov, M. V. Shamolin, N. N. Dobrovolskii, “Vladimir Grigorievich Chirskii (on the 75-th anniversary of his birth)”, Chebyshevskii Sb., 25:3 (2024), 5–10

2023
9.	V. V. Aleksandrov, D. V. Georgievskii, V. P. Karlikov, S. S. Lemak, G. V. Moskvitin, R. I. Nigmatulin, V. A. Sadovnichii, S. L. Tolokonnikov, V. N. Chubarikov, A. I. Shafarevich, V. Ya. Shkadov, “To hundred anniversary of Viktor Vasil’evich Moskvitin”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 5, 70–71
10.	A. I. Shafarevich, V. N. Chubarikov, A. L. Semenov, V. M. Buchstaber, A. O. Ivanov, V. M. Tikhomirov, Vl. P. Vizgin, V. G. Chirskii, V. V. Kozlov, M. V. Kozlov, E. A. Zaytsev, G. S. Smirnova, V. N. Chinenova, N. M. Dobrovolsky, “Sergey Sergeevich Demidov (to the 80-th anniversary of his birth)”, Chebyshevskii Sb., 24:1 (2023), 334–355
11.	S. O. Gorchinskiy, Vik. S. Kulikov, V. V. Nikulin, D. O. Orlov, D. V. Osipov, V. L. Popov, N. A. Tyurin, G. B. Shabat, A. I. Shafarevich, V. V. Shokurov, “Igor Rostislavovich Shafarevich (on the centenary of his birthday)”, Russian Math. Surveys, 78:6 (2023), 1167–1178
12.	N. H. Agakhanov, N. N. Andreev, S. N. Askhabov, N. M. Dobrovolsky, A. Domoshnitsky, S. A. Dorichenko, M. V. Zaitsev, I. A. Ivanov-Pogodaev, A. A. Kolchev, S. Malev, I. V. Mitrofanov, A. A. Mikhalev, S. P. Mishchenko, V. G. Navodnov, Yu. V. Nesterenko, A. M. Pesin, F. V. Petrov, S. V. Pchelintsev, A. M. Raigorodsky, Ph. D. Rukhovich, L. M. Samoilov, A. L. Semenov, V. A. Timorin, O. N. Tulupov, M. I. Kharitonov, A. L. Chernyatiev, A. A. Chilikov, V. N. Chubarikov, A. I. Shafarevich, “Alexey Yakovlevich Kanel-Belov”, Chebyshevskii Sb., 24:4 (2023), 380–400

2022
13.	V. A. Artamonov, L. A. Bokut', V. V. Borisenko, E. I. Bunina, V. M. Buchstaber, A. È. Guterman, Yu. L. Ershov, M. V. Zaitsev, A. Ya. Kanel'-Belov, A. R. Kemer, A. V. Mikhalev, S. P. Mishchenko, S. P. Novikov, A. Yu. Ol'shanskii, Yu. G. Prokhorov, Yu. P. Razmyslov, A. I. Shafarevich, I. V. Shestakov, “Victor Nikolaevich Latyshev (obituary)”, Russian Math. Surveys, 77:1 (2022), 165–170
14.	O. N. Ageev, Ya. B. Vorobets, B. Weiss, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, L. S. Efremova, A. Yu. Zhirov, E. V. Zhuzhoma, B. S. Kashin, V. N. Kolokoltsov, A. V. Kochergin, L. M. Lerman, I. V. Mykytyuk, V. I. Oseledets, A. Yu. Plakhov, O. V. Pochinka, V. V. Ryzhikov, V. Zh. Sakbaev, A. G. Sergeev, Ya. G. Sinai, A. T. Tagi-Zade, S. V. Tikhonov, J.-P. Thouvenot, A. Ya. Helemskii, A. I. Shafarevich, “Anatolii Mikhailovich Stepin (obituary)”, Russian Math. Surveys, 77:2 (2022), 361–367
15.	S. A. Stepin, A. I. Shafarevich, “WKB method for nonlinear equations of Emden–Fowler type”, Dokl. Math., 105:1 (2022), 39–44
16.	V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, O. S. Dudakova, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, M. D. Kovalev, V. V. Kozlov, R. M. Kolpakov, V. V. Kochergin, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, N. P. Red'kin, V. A. Sadovnichii, I. N. Sergeev, A. T. Fomenko, A. V. Chashkin, V. N. Chubarikov, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “90 years since the birthday of Academician Oleg Borisovich Lupanov (02.06.1932 – 03.05.2006)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3, 3–5
17.	A. I. Shafarevich, O. A. Shchegortsova, “Maslov complex germ and semiclassical contracted states in the Cauchy problem for the Schrödinger equation with delta potential”, Differential and functional differential equations, CMFD, 68, no. 4, PFUR, M., 2022, 704–715
18.	A. I. Shafarevich, A. T. Fomenko, V. N. Chubarikov, A. O. Ivanov, V. G. Chirskii, V. I. Bernik, V. A. Bykovskii, A. I. Galochkin, S. S. Demidov, S. B. Gashkov, A. I. Nizhnikov, A. A. Fomin, E. Deza, A. Ya. Kanel-Belov, N. M. Dobrovolsky, N. N. Dobrovolsky, I. Yu. Rebrova, V. Kh. Salikhov, “Yuri Valentinovich Nesterenko (to the 75th anniversary)”, Chebyshevskii Sb., 23:1 (2022), 10–20

2021
19.	S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. I. Shafarevich, “Efficient asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations”, Russian Math. Surveys, 76:5 (2021), 745–819
20.	V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, V. V. Kozlov, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, O. V. Popov, V. A. Sadovnichii, I. N. Sergeev, G. V. Fedorov, A. T. Fomenko, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “To 70-th anniversary of professor V. N. Chubarikov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 5, 69–71
21.	S. B. Gashkov, O. S. Dudakova, M. D. Kovalev, R. M. Kolpakov, V. V. Kochergin, N. P. Redkin, A. T. Fomenko, A. V. Chashkin, V. N. Chubarikov, A. I. Shafarevich, A. D. Yashunskii, “Oktai Muradovich Kasim-zade (29.04.1953–22.12.2020)”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 2021, no. 4, 60–63
22.	A. V. Tsvetkova, A. I. Shafarevich, “The wave equation with symmetric velocity on the hybrid manifold obtained by gluing a ray to a three-dimensional sphere”, Trans. Moscow Math. Soc., 82 (2021), 305–325
23.	A. I. Shafarevich, V. N. Chubarikov, D. O. Orlov, A. O. Ivanov, A. V. Mikhalev, V. G. Chirskii, A. Yu. Ol'shanskii, M. V. Zaicev, I. B. Kozhukhov, A. Ya. Kanel-Belov, N. M. Dobrovol'skii, N. N. Dobrovol'skii, I. Yu. Rebrova, I. N. Balaba, “In memory of Vyacheslav Alexandrovich Artamonov”, Chebyshevskii Sb., 22:5 (2021), 417–418
24.	A. I. Shafarevich, A. T. Fomenko, A. O. Ivanov, S. S. Demidov, S. B. Gashkov, A. I. Nizhnikov, A. A. Fomin, E. Deza, A. Ya. Kanel-Belov, N. M. Dobrovol'skii, N. N. Dobrovol'skii, I. Yu. Rebrova, “Vladimir Nikolaevich Chubarikov (to the 70th anniversary of his birth)”, Chebyshevskii Sb., 22:5 (2021), 5–15

2020
25.	A. V. Tsvetkova, A. I. Shafarevich, “Localized Asymptotic Solution of a Variable-Velocity Wave Equation on the Simplest Decorated Graph with Initial Conditions on a Surface”, Math. Notes, 108:4 (2020), 590–602
26.	A. V. Tsvetkova, A. I. Shafarevich, “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”, Math. Notes, 107:3 (2020), 478–487
27.	A. I. Shafarevich, O. A. Shchegortsova, “Semiclassical Asymptotics of the Solution to the Cauchy Problem for the Schrödinger Equation with a Delta Potential Localized on a Codimension 1 Surface”, Proc. Steklov Inst. Math., 310 (2020), 304–313
28.	A. V. Tsvetkova, A. I. Shafarevich, “Localized Asymptotic Solution of a Variable-Velocity Wave Equation on the Simplest Decorated Graph”, Proc. Steklov Inst. Math., 308 (2020), 250–260
29.	A. Bolsinov, N. Dobrovol'skii, A. Ivanov, E. Kudryavtseva, A. Oshemkov, F. Popelenskii, A. Tuzhilin, V. Chubarikov, A. Shafarevich, “Anatolii Timofeevich Fomenko”, Chebyshevskii Sb., 21:2 (2020), 5–7

2022
30.	N. M. Adrianov, V. A. Artamonov, I. N. Balaba, Yu. A. Bahturin, L. A. Bokut', V. V. Borisenko, E. I. Bunina, S. A. Gaifullin, S. T. Glavatsky, I. Z. Golubchik, S. González, A. V. Grishin, A. È. Guterman, N. I. Dubrovin, M. V. Zaicev, E. I. Zel'manov, N. K. Il'ina, A. Ya. Kanel-Belov, A. L. Kanunnikov, E. S. Kislitsyn, A. A. Klyachko, I. B. Kozhukhov, E. M. Kreines, O. V. Kulikova, T. P. Lukashenko, O. V. Markova, C. Martínez, A. A. Mikhalev, A. V. Mikhalev, A. Yu. Ol'shanskii, A. E. Pentus, A. V.A. Petrov, Yu. G. Prokhorov, S. V. Pchelintsev, V. V. Tenzina, D. A. Timashev, A. A. Tuganbaev, I. N. Tumaikin, V. K. Kharchenko, I. A. Chubarov, A. A. Shafarevich, A. I. Shafarevich, I. P. Shestakov, E. E. Shirshova, V. É. Shpil'rain, “Viktor Timofeevich Markov (21.06.1948—15.07.2019)”, J. Math. Sci., 262:5 (2022), 592–602

2020
31.	A. V. Artem'ev, S. V. Bolotin, D. L. Vainchtein, A. A. Vasiliev, S. Yu. Dobrokhotov, L. M. Zelenyi, V. V. Kozlov, A. A. Petrukovich, V. V. Sidorenko, D. V. Treschev, A. I. Shafarevich, “Anatolii Iserovish Neishtadt (on his 70th birthday)”, Russian Math. Surveys, 75:5 (2020), 981–989
32.	G. L. Brovko, D. V. Georgievskii, V. I. Gorbachev, È. B. Zavoychinskaya, A. V. Zvyagin, V. P. Karlikov, E. V. Lomakin, E. D. Martynova, I. N. Molodtsov, A. V. Muravlev, N. V. Ovchinnikova, Z. G. Tunguskova, P. V. Chistyakov, V. N. Chubarikov, A. I. Shafarevich, V. Ya. Shkadov, “To memory of Rudolf Alekseevich Vasin (1937–2019)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 5, 71–72

2019
33.	V. E. Nazaikinskii, A. I. Shafarevich, “Maslov's Canonical Operator in Problems on Localized Asymptotic Solutions of Hyperbolic Equations and Systems”, Math. Notes, 106:3 (2019), 402–411
34.	Anna I. Allilueva, Andrei I. Shafarevich, “Conic Lagrangian Varieties and Localized Asymptotic Solutions of Linearized Equations of Relativistic Gas Dynamics”, Regul. Chaotic Dyn., 24:6 (2019), 671–681 ;
35.	Anna I. Allilueva, Andrei I. Shafarevich, “Evolution of Lagrangian Manifolds and Asymptotic Solutions to the Linearized Equations of Gas Dynamics”, Regul. Chaotic Dyn., 24:1 (2019), 80–89 ;
36.	A. I. Shafarevich, “Lagrangian Tori and Quantization Conditions Corresponding to Spectral Series of the Laplace Operator on a Surface of Revolution with Conical Points”, Proc. Steklov Inst. Math., 307 (2019), 294–302

2018
37.	Andrei I. Shafarevich, “The Maslov Complex Germ and Semiclassical Spectral Series Corresponding to Singular Invariant Curves of Partially Integrable Hamiltonian Systems”, Regul. Chaotic Dyn., 23:7-8 (2018), 842–849 ;

2017
38.	S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. I. Shafarevich, “New integral representations of the Maslov canonical operator in singular charts”, Izv. Math., 81:2 (2017), 286–328
39.	A. I. Allilueva, A. I. Shafarevich, “Localized Asymptotic Solutions of the Linearized System of Magnetic Hydrodynamics”, Math. Notes, 102:6 (2017), 737–745
40.	D. V. Nekhaev, A. I. Shafarevich, “A quasiclassical limit of the spectrum of a Schrödinger operator with complex periodic potential”, Sb. Math., 208:10 (2017), 1535–1556
41.	A. I. Allilueva, A. I. Shafarevich, “Nonstandard characteristics and localized asymptotic solutions of a linearized magnetohydrodynamic system with small viscosity and drag”, Theoret. and Math. Phys., 190:1 (2017), 164–175

2016
42.	A. V. Tsvetkova, A. I. Shafarevich, “The Cauchy Problem for the Wave Equation on Homogeneous Trees”, Math. Notes, 100:6 (2016), 862–869
43.	A. I. Alillueva, A. I. Shafarevich, “Asymptotic Solutions of a Magnetohydrodynamic System which Describe Smoothed Discontinuities”, Math. Notes, 99:6 (2016), 795–809
44.	Vsevolod L. Chernyshev, Anton A. Tolchennikov, Andrei I. Shafarevich, “Behavior of Quasi-particles on Hybrid Spaces. Relations to the Geometry of Geodesics and to the Problems of Analytic Number Theory”, Regul. Chaotic Dyn., 21:5 (2016), 531–537 ;

2017
45.	V. P. Maslov, A. I. Shafarevich, “Fomenko invariants in the asymptotic theory of the Navier–Stokes equations”, J. Math. Sci., 225:4 (2017), 666–680

2015
46.	Anna I. Allilueva, Andrei I. Shafarevich, “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”, Regul. Chaotic Dyn., 20:6 (2015), 691–700 ;
47.	M. I. Zelikin, A. O. Ivanov, B. S. Kashin, A. S. Mishchenko, Yu. V. Nesterenko, A. A. Oshemkov, F. Yu. Popelenskii, V. A. Sadovnichii, A. A. Tuzhilin, V. N. Chubarikov, A. I. Shafarevich, A. N. Shiryaev, “Academician Anatolii Timofeevich Fomenko”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 6, 66–68

2014
48.	A. I. Esina, A. I. Shafarevich, “Asymptotics of the Spectrum and Eigenfunctions of the Magnetic Induction Operator on a Compact Two-Dimensional Surface of Revolution”, Math. Notes, 95:3 (2014), 374–387
49.	V. P. Maslov, A. I. Shafarevich, “Asymptotic solutions of Navier–Stokes equations and topological invariants of vector fields and Liouville foliations”, Theoret. and Math. Phys., 180:2 (2014), 967–982

2010
50.	A. I. Esina, A. I. Shafarevich, “Quantization Conditions on Riemannian Surfaces and the Semiclassical Spectrum of the Schrödinger Operator with Complex Potential”, Math. Notes, 88:2 (2010), 209–227
51.	A. A. Tolchennikov, V. L. Chernyshev, A. I. Shafarevich, “Asimptoticheskie svoistva i klassicheskie dinamicheskie sistemy v kvantovykh zadachakh na singulyarnykh prostranstvakh”, Nelineinaya dinam., 6:3 (2010), 623–638 ;
52.	T. A. Filatova, A. I. Shafarevich, “Semiclassical spectral series of the Schrödinger operator with a delta potential on a straight line and on a sphere”, Theoret. and Math. Phys., 164:2 (2010), 1064–1080

2008
53.	J. Brüning, S. Yu. Dobrokhotov, R. V. Nekrasov, A. I. Shafarevich, “Propagation of Gaussian wave packets in thin periodic quantum waveguides with a nonlocal nonlinearity”, Theoret. and Math. Phys., 155:2 (2008), 689–707

Full list of publications