## Shafarevich, Andreĭ Igorevich

Compute Distance To:
 Author ID: shafarevich.andrei-i Published as: Shafarevich, A. I.; Shafarevich, Andrei I.; Shafarevich, Andrei; Shafarevich, Andrej I.; Shafarevich, Andreĭ I.; Shafarevich, Andrey I. Further Spellings: Шафаревич Андрей Игоревич Homepage: http://dfgm.math.msu.su/people/shafarevich/part1.php External Links: ORCID · Wikidata · Math-Net.Ru
 Documents Indexed: 111 Publications since 1987 Co-Authors: 75 Co-Authors with 93 Joint Publications 2,270 Co-Co-Authors
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### Co-Authors

 17 single-authored 26 Dobrokhotov, Sergei Yurievich 23 Allilueva, Anna I. 15 Maslov, Viktor Pavlovich 7 Tsvetkova, Anna V. 5 Nazaikinskii, Vladimir E. 4 Chernyshev, Vsevolod L. 4 Esina, A. I. 4 Tirozzi, Brunello 3 Gal’tsev, S. V. 3 Olivé, Victor M. 2 Brüning, Jochen 2 Filatova, T. A. 2 Molotkov, I. A. 2 Nekrasov, R. V. 2 Ratiu, Tudor Stefan 2 Roohian, Homaion 1 Artamonov, Vyacheslav Aleksandrovich 1 Artem’ev, A. V. 1 Babich, Vasiliĭ Mikhaĭlovich 1 Bokut, Leonid A. 1 Bolotin, Sergeĭ Vladimirovich 1 Bolsinov, Alexey V. 1 Borisenko, Vladimir V. 1 Bukhshtaber, Viktor Matveevich 1 Buldyrev, V. S. 1 Bunina, Elena Igor’evna 1 Chebotarev, Alexandr M. 1 Chernous’ko, Feliks Leonidovich 1 Chubarikov, Vladimir Nikolaevich 1 Ershov, Yuriĭ Leonidovich 1 Escamilla Reyna, Juan Alberto 1 Fomenko, Anatoliĭ Timofeevich 1 Fradkin, L. Yu. 1 Frost, V. A. 1 Guterman, Alexander Èmilevich 1 Ivanov, Aleksandr Olegovich 1 Kaloshin, V. A. 1 Kanel’-Belov, Alekseĭ Yakovlevich 1 Kemer, Aleksandr Robertovich 1 Klimov, Dmitrij M. 1 Kozlov, Valeriĭ Vasil’evich 1 Kryukovskij, A. S. 1 Kucherenko, Valeri V. 1 Kudryavtseva, Elena A. 1 Lukin, Dmitry S. 1 Lukzen, Elena N. 1 Lyalinov, Mikhail Anatolievich 1 Martínez-Olivé, Victor 1 Mendoza Torres, Francisco Javier 1 Mikhalëv, Aleksandr Vasil’evich 1 Mishchenko, Sergeĭ Petrovich 1 Nekhaev, Dmitrii V. 1 Nikonov, Igor Mikhailovich 1 Novikov, Sergeĭ Petrovich 1 Ol’shanskiĭ, Aleksandr Yur’evich 1 Oshemkov, Andreĭ Aleksandrovich 1 Pavlov, Boris Sergeevich 1 Petrukovich, A. A. 1 Popov, Aleksandr Leonidovich 1 Prokhorov, Yuriĭ Gennad’evich 1 Rabinovich, Vladimir Samuilovich 1 Razmyslov, Yuri P. 1 Ruzmaikin, Alexander A. 1 Sánchez Perales, Salvador 1 Sekerzh-Zen’kovich, Sergeĭ Yakovlevich 1 Sergeev, Sergeĭ Alekseevich 1 Shchegortsova, O. A. 1 Shestakov, Ivan Pavlovich 1 Sidorenko, Vladislav V. 1 Sturova, Izolda V. 1 Suleimanova, A. A. 1 Tolchennikov, Anton A. 1 Treshchev, Dmitriĭ Valer’evich 1 Tuzhilin, Alexey Avgustinovich 1 Vainchtein, Dmitri L. 1 Vasil’ev, Alekseĭ Alekseevich 1 Vishik, Marko Iosifovich 1 Zaĭtsev, Mikhail Vladimirovich 1 Zelenyi, Lev M. 1 Zhevandrov, Peter N. 1 Zotov, V. V.
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### Serials

 33 Russian Journal of Mathematical Physics 19 Mathematical Notes 9 Doklady Mathematics 5 Theoretical and Mathematical Physics 5 Regular and Chaotic Dynamics 3 Russian Mathematical Surveys 3 Physics-Doklady 3 Proceedings of the Steklov Institute of Mathematics 2 Prikladnaya Matematika i Mekhanika 1 Fluid Dynamics 1 Geophysical and Astrophysical Fluid Dynamics 1 International Journal of Theoretical Physics 1 Matematicheskie Zametki 1 Moscow University Mathematics Bulletin 1 Differential Equations 1 Functional Analysis and its Applications 1 Soviet Physics. Doklady 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Trudy Seminara po Vektornomu i Tenzornomu Analizu 1 Journal of Mathematical Sciences (New York) 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Istoriko-Matematicheskie Issledovaniya. Vtoraya Seriya 1 Methods of Functional Analysis and Topology 1 Mathematical Physics, Analysis and Geometry 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Differential Equations 1 Advanced Studies in Contemporary Mathematics (Kyungshang) 1 Chebyshevskiĭ Sbornik
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### Fields

 73 Partial differential equations (35-XX) 41 Fluid mechanics (76-XX) 25 Quantum theory (81-XX) 17 Differential geometry (53-XX) 11 Ordinary differential equations (34-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Operator theory (47-XX) 5 History and biography (01-XX) 3 Number theory (11-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 2 Numerical analysis (65-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

### Citations contained in zbMATH Open

71 Publications have been cited 393 times in 186 Documents Cited by Year
Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations. Zbl 1180.35336
Dobrokhotov, S. Yu.; Shafarevich, A. I.; Tirozzi, B.
2008
Representations of rapidly decaying functions by the Maslov canonical operator. Zbl 1344.58014
Dobrokhotov, S. Yu.; Tirozzi, B.; Shafarevich, A. I.
2007
Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients. Zbl 0735.35089
Dobrokhotov, S. Yu.; Zhevandrov, P. N.; Maslov, V. P.; Shafarevich, A. I.
1991
New integral representations of the Maslov canonical operator in singular charts. Zbl 1369.81033
Dobrokhotov, Sergei Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I.
2017
Some integral identities and remarks on the decay at infinity of the solutions to the Navier-Stokes equations in the entire space. Zbl 0976.35508
Dobrokhotov, Sergej Yu.; Shafarevich, Andrej I.
1994
Statistics of Gaussian packets on metric and decorated graphs. Zbl 1354.35122
Chernyshev, V. L.; Shafarevich, A. I.
2014
New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems. Zbl 1331.35219
Allilueva, A. I.; Dobrokhotov, S. Yu.; Sergeev, S. A.; Shafarevich, A. I.
2015
“Momentum” tunneling between tori and the splitting of eigenvalues of the Laplace-Beltrami operator on Liouville surfaces. Zbl 0968.58025
Dobrokhotov, S. Yu.; Shafarevich, A. I.
1999
Semiclassical asymptotics and statistical properties of Gaussian packets for the nonstationary Schrödinger equation on a geometric graph. Zbl 1175.81115
Chernyshev, V. L.; Shafarevich, A. I.
2008
Rapidly oscillating asymptotic solutions of the Navier-Stokes equations, coherent structures, Fomenko invariants, Kolmogorov spectrum, and flicker noise. Zbl 1115.35100
Maslov, V. P.; Shafarevich, A. I.
2006
Localized asymptotic solutions of the wave equation with variable velocity on the simplest graphs. Zbl 1380.35118
Allilueva, A. I.; Shafarevich, A. I.
2017
On the behavior of an incompressible fluid velocity field at infinity. Zbl 0889.76011
Dobrokhotov, S. Yu.; Shafarevich, A. I.
1996
Asymptotic solutions of linearized Navier-Stokes equations. Zbl 0816.76025
Dobrokhotov, S. Yu.; Shafarevich, A. I.
1993
Parametrix and asymptotics of localized solutions of Navier-Stokes equations in $$R^ 3$$ linearized on a smooth flow. Zbl 0751.76020
Dobrokhotov, S. Yu.; Shafarevich, A. I.
1992
The Navier-Stokes equations: Asymptotic solutions describing tangential discontinuities. Zbl 1011.76015
Shafarevich, A. I.
2000
Quantization conditions on Riemannian surfaces and the semiclassical spectrum of the Schrödinger operator with complex potential. Zbl 1234.81077
Esina, A. I.; Shafarevich, A. I.
2010
Asymptotic solutions of Navier-Stokes equations and topological invariants of vector fields and Liouville foliations. Zbl 1308.76071
Maslov, V. P.; Shafarevich, A. I.
2014
Semiclassical asymptotics of the spectrum of a nonselfadjoint operator on the sphere. Zbl 1180.35399
Roohian, H.; Shafarevich, A. I.
2009
Differential equations on graphs describing asymptotic solutions of the Navier-Stokes equations localized in a small neighborhood of a curve. Zbl 1126.76313
Shafarevich, A. I.
1998
Delta-type solutions for a system of induction equations with discontinuous velocity field. Zbl 1313.35335
Esina, A. I.; Shafarevich, A. I.
2014
Semiclassical asymptotic behavior of the spectrum of a nonselfadjoint elliptic operator on a two-dimensional surface of revolution. Zbl 1251.35051
Roohian, H.; Shafarevich, A. I.
2010
Nonstandard characteristics and localized asymptotic solutions of a linearized magnetohydrodynamic system with small viscosity and drag. Zbl 1387.76110
Allilueva, A. I.; Shafarevich, A. I.
2017
Asymptotic solutions of linearized Navier-Stokes equations localized in small neighborhoods of curves and surfaces. Zbl 1333.76033
Allilueva, A. I.; Shafarevich, A. I.
2015
Analogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operators. Zbl 1276.81060
Esina, A. I.; Shafarevich, A. I.
2013
Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold. Zbl 1345.53083
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Shafarevich, A. I.
2016
Asymptotical and topological constructions in hydrodynamics. Zbl 1072.76020
Shafarevich, Andrei I.
2002
Noncompact Lagrangian manifolds corresponding to the spectral series of the Schrödinger operator with delta-potential on a surface of revolution. Zbl 1266.58015
Ratiu, T.; Filatova, T. A.; Shafarevich, A. I.
2012
Semiclassical spectral series of the Schrödinger operator with a delta potential on a straight line and on a sphere. Zbl 1298.81069
Filatova, T. A.; Shafarevich, A. I.
2010
Magnetic field asymptotics in a well conducting fluid. Zbl 1181.76152
Dobrokhotov, Sergei; Olive, Victor M.; Ruzmaikin, Alexander; Shafarevich, Andrei
1996
Asymptotic solutions of the Navier-Stokes equations describing periodic systems of localized vortices. Zbl 1281.35066
Maslov, V. P.; Shafarevich, A. I.
2011
Spectral series of the Schrödinger operator with delta-potential on a three-dimensional spherically symmetric manifold. Zbl 1292.81063
Ratiu, T. S.; Suleimanova, A. A.; Shafarevich, A. I.
2013
Solutions of the wave equation on hybrid spaces of constant curvature. Zbl 1320.35178
Shafarevich, A. I.; Tsvetkova, A. V.
2014
Semiclassical spectrum of the Schrödinger operator on a geometric graph. Zbl 1160.47022
Chernyshev, V. L.; Shafarevich, A. I.
2007
Propagation of Gaussian wave packets in thin periodic quantum waveguides with a nonlocal nonlinearity. Zbl 1145.81351
Brüning, J.; Dobrokhotov, S. Yu.; Nekrasov, R. V.; Shafarevich, A. I.
2008
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. Zbl 1407.35028
Nazaikinskii, V. E.; Shafarevich, A. I.
2018
Asymptotic solutions to the Hartree equation localized in a small neighborhood of a curve as $$h\to 0$$. Zbl 0900.76794
Vakulenko, S. A.; Maslov, V. P.; Molotkov, I. A.; Shafarevich, A. I.
1995
The behavior of the magnetic field in a conducting fluid with a rapidly varying velocity field. Zbl 0982.76571
Shafarevich, A. I.
1998
Generalized Prandtl-Maslov equations on graphs that describe stretched vortices in an incompressible fluid. Zbl 0986.76014
Shafarevich, A. I.
1998
Maslov’s canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems. Zbl 1432.35025
Nazaikinskii, V. E.; Shafarevich, A. I.
2019
On the distribution of energy of localized solutions of the Schrödinger equation that propagate along symmetric quantum graphs. Zbl 1447.81105
Allilueva, A. I.; Shafarevich, A. I.
2017
Delta-type solutions for the non-Hermitian system of induction equations. Zbl 1336.78002
Allilueva, A. I.; Shafarevich, A. I.
2015
Behavior of quasi-particles on hybrid spaces. Relations to the geometry of geodesics and to the problems of analytic number theory. Zbl 1353.37140
Chernyshev, Vsevolod L.; Tolchennikov, Anton A.; Shafarevich, Andrei I.
2016
Quasiclassical scattering of wave packets on a narrow band in which the potential rapidly changes. Zbl 0689.35080
Shafarevich, A. I.
1989
Semiclassical asymptotic behavior of the scattering of wave packets by the rapidly changing potential given by the equation $$-2| \nabla \Phi | ^ 2/\cosh ^ 2[\Phi (X)/h]+V_ 0(X)$$. Zbl 0696.35125
Dobrokhotov, S. Yu.; Shafarevich, A. I.
1987
The Cauchy problem for the wave equation on homogeneous trees. Zbl 1364.35404
Tsvetkova, A. V.; Shafarevich, A. I.
2016
The short-wave asymptotics in a linearized system of equations of hydrodynamics with rapidly varying coefficients. Zbl 0850.35076
Dobrokhotov, S. Yu; Shafarevich, A. I.
1988
Cauchy problem for the wave equation on the simplest decorated graph with initial conditions localized on a surface. Zbl 1418.35255
Shafarevich, A. I.; Tsvetkova, A. V.
2019
Quantized Riemann surfaces and semiclassical spectral series for a non-self-adjoint Schrödinger operator with periodic coefficients. Zbl 1177.81043
Galtsev, S. V.; Shafarevich, A. I.
2006
A laminar wake in an arbitrary external flow. Zbl 1050.76528
Maslov, V. P.; Shafarevich, A. I.
1997
Cauchy–Riemann conditions and localized asymptotic solutions of linearized equations of shallow water theory. Zbl 1100.76506
Dobrokhotov, S. Yu.; Tirozzi, B.; Shafarevich, A. I.
2005
Localized asymptotic solution of the wave equation with a radially symmetric velocity on a simplest decorated graph. Zbl 1402.35076
Shafarevich, A. I.; Tsvetkova, A. V.
2018
Short-wave asymptotic solutions of the wave equation with localized perturbations of the velocity. Zbl 1441.35150
Allilueva, A. I.; Shafarevich, A. I.
2020
Asymptotic solutions of a magnetohydrodynamic system which describe smoothed discontinuities. Zbl 1351.35121
Allilueva, Anna I.; Shafarevich, A. I.
2016
Asymptotic solutions of the Navier-Stokes equations and systems of stretched vortices filling a three-dimensional volume. Zbl 1281.35067
Maslov, V. P.; Shafarevich, A. I.
2012
Asymptotics of the spectrum and eigenfunctions of the magnetic induction operator on a compact two-dimensional surface of revolution. Zbl 1315.35162
Esina, A. I.; Shafarevich, A. I.
2014
Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics. Zbl 1412.35060
Allilueva, Anna I.; Shafarevich, Andrei I.
2019
Short-wave asymptotic solutions of a linearized system of relativistic gas dynamics. Zbl 1434.35083
Allilueva, A. I.; Shafarevich, A. I.
2019
On the distribution of energy of localized solutions of the Schrödinger equation that propagate along symmetric quantum graphs. Zbl 1348.81246
Shafarevich, A. I.
2016
Reflection and refraction of Lagrangian manifolds corresponding to short-wave solutions of the wave equation with an abruptly varying velocity. Zbl 1468.35033
Allilueva, A. I.; Shafarevich, A. I.
2021
Localized asymptotic solution of a variable-velocity wave equation on the simplest decorated graph. Zbl 1440.35205
Tsvetkova, A. V.; Shafarevich, A. I.
2020
On the kernel of the Laplace operator on two-dimensional polyhedra. Zbl 1387.35125
Lukzen, E. N.; Shafarevich, A. I.
2017
Localized asymptotic solutions of the Navier-Stokes equations and topological invariants of vector fields. Prandtl-Maslov equations on Reeb graphs and Fomenko invariants. Zbl 1071.35536
Shafarevich, A. I.
2000
Asymptotic support of localized solutions of the linearized system of magnetohydrodynamics. Zbl 1359.76329
Allilueva, A. I.; Shafarevich, A. I.
2016
Tunnel splitting of the spectrum of the Beltrami-Laplace operators on two-dimensional surfaces with square integrable geodesic flow. Zbl 1019.58009
Dobrokhotov, S. Yu.; Shafarevich, A. I.
2000
Application of the canonical operator to the description of self-focusing soliton-like solutions of the Kadomtsev-Petviashvili equation. Zbl 1326.35321
Maslov, V. P.; Shafarevich, A. I.
2011
Behavior of rapidly decreasing asymptotic solutions of linearized Navier-Stokes equations at $$t\to\infty$$. Zbl 0929.35107
Shafarevich, A. I.
1994
On asymptotic solutions of nonlinear equations in the presence of turning points. Zbl 1076.35028
Maslov, V. P.; Shafarevich, A. I.
2004
Semiclassical eigenfunctions of the Schrödinger operator on a graph that are localized near a subgraph. Zbl 1398.81100
Allilueva, A. I.; Shafarevich, A. I.
2018
Quantization of periodic motions on compact surfaces of constant negative curvature in a magnetic field. Zbl 1132.81033
Brüning, J.; Nekrasov, R. V.; Shafarevich, A. I.
2007
Laminar wake in an arbitrary external stream. Zbl 0921.76051
Maslov, V. P.; Shafarevich, A. I.
1997
Spectrum and pseudospectrum of non-self-adjoint Schrödinger operators with periodic coefficients. Zbl 1128.47042
Gal’tsev, S. V.; Shafarevich, A. I.
2006
Reflection and refraction of Lagrangian manifolds corresponding to short-wave solutions of the wave equation with an abruptly varying velocity. Zbl 1468.35033
Allilueva, A. I.; Shafarevich, A. I.
2021
Short-wave asymptotic solutions of the wave equation with localized perturbations of the velocity. Zbl 1441.35150
Allilueva, A. I.; Shafarevich, A. I.
2020
Localized asymptotic solution of a variable-velocity wave equation on the simplest decorated graph. Zbl 1440.35205
Tsvetkova, A. V.; Shafarevich, A. I.
2020
Maslov’s canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems. Zbl 1432.35025
Nazaikinskii, V. E.; Shafarevich, A. I.
2019
Cauchy problem for the wave equation on the simplest decorated graph with initial conditions localized on a surface. Zbl 1418.35255
Shafarevich, A. I.; Tsvetkova, A. V.
2019
Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics. Zbl 1412.35060
Allilueva, Anna I.; Shafarevich, Andrei I.
2019
Short-wave asymptotic solutions of a linearized system of relativistic gas dynamics. Zbl 1434.35083
Allilueva, A. I.; Shafarevich, A. I.
2019
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. Zbl 1407.35028
Nazaikinskii, V. E.; Shafarevich, A. I.
2018
Localized asymptotic solution of the wave equation with a radially symmetric velocity on a simplest decorated graph. Zbl 1402.35076
Shafarevich, A. I.; Tsvetkova, A. V.
2018
Semiclassical eigenfunctions of the Schrödinger operator on a graph that are localized near a subgraph. Zbl 1398.81100
Allilueva, A. I.; Shafarevich, A. I.
2018
New integral representations of the Maslov canonical operator in singular charts. Zbl 1369.81033
Dobrokhotov, Sergei Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I.
2017
Localized asymptotic solutions of the wave equation with variable velocity on the simplest graphs. Zbl 1380.35118
Allilueva, A. I.; Shafarevich, A. I.
2017
Nonstandard characteristics and localized asymptotic solutions of a linearized magnetohydrodynamic system with small viscosity and drag. Zbl 1387.76110
Allilueva, A. I.; Shafarevich, A. I.
2017
On the distribution of energy of localized solutions of the Schrödinger equation that propagate along symmetric quantum graphs. Zbl 1447.81105
Allilueva, A. I.; Shafarevich, A. I.
2017
On the kernel of the Laplace operator on two-dimensional polyhedra. Zbl 1387.35125
Lukzen, E. N.; Shafarevich, A. I.
2017
Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold. Zbl 1345.53083
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Shafarevich, A. I.
2016
Behavior of quasi-particles on hybrid spaces. Relations to the geometry of geodesics and to the problems of analytic number theory. Zbl 1353.37140
Chernyshev, Vsevolod L.; Tolchennikov, Anton A.; Shafarevich, Andrei I.
2016
The Cauchy problem for the wave equation on homogeneous trees. Zbl 1364.35404
Tsvetkova, A. V.; Shafarevich, A. I.
2016
Asymptotic solutions of a magnetohydrodynamic system which describe smoothed discontinuities. Zbl 1351.35121
Allilueva, Anna I.; Shafarevich, A. I.
2016
On the distribution of energy of localized solutions of the Schrödinger equation that propagate along symmetric quantum graphs. Zbl 1348.81246
Shafarevich, A. I.
2016
Asymptotic support of localized solutions of the linearized system of magnetohydrodynamics. Zbl 1359.76329
Allilueva, A. I.; Shafarevich, A. I.
2016
New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems. Zbl 1331.35219
Allilueva, A. I.; Dobrokhotov, S. Yu.; Sergeev, S. A.; Shafarevich, A. I.
2015
Asymptotic solutions of linearized Navier-Stokes equations localized in small neighborhoods of curves and surfaces. Zbl 1333.76033
Allilueva, A. I.; Shafarevich, A. I.
2015
Delta-type solutions for the non-Hermitian system of induction equations. Zbl 1336.78002
Allilueva, A. I.; Shafarevich, A. I.
2015
Statistics of Gaussian packets on metric and decorated graphs. Zbl 1354.35122
Chernyshev, V. L.; Shafarevich, A. I.
2014
Asymptotic solutions of Navier-Stokes equations and topological invariants of vector fields and Liouville foliations. Zbl 1308.76071
Maslov, V. P.; Shafarevich, A. I.
2014
Delta-type solutions for a system of induction equations with discontinuous velocity field. Zbl 1313.35335
Esina, A. I.; Shafarevich, A. I.
2014
Solutions of the wave equation on hybrid spaces of constant curvature. Zbl 1320.35178
Shafarevich, A. I.; Tsvetkova, A. V.
2014
Asymptotics of the spectrum and eigenfunctions of the magnetic induction operator on a compact two-dimensional surface of revolution. Zbl 1315.35162
Esina, A. I.; Shafarevich, A. I.
2014
Analogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operators. Zbl 1276.81060
Esina, A. I.; Shafarevich, A. I.
2013
Spectral series of the Schrödinger operator with delta-potential on a three-dimensional spherically symmetric manifold. Zbl 1292.81063
Ratiu, T. S.; Suleimanova, A. A.; Shafarevich, A. I.
2013
Noncompact Lagrangian manifolds corresponding to the spectral series of the Schrödinger operator with delta-potential on a surface of revolution. Zbl 1266.58015
Ratiu, T.; Filatova, T. A.; Shafarevich, A. I.
2012
Asymptotic solutions of the Navier-Stokes equations and systems of stretched vortices filling a three-dimensional volume. Zbl 1281.35067
Maslov, V. P.; Shafarevich, A. I.
2012
Asymptotic solutions of the Navier-Stokes equations describing periodic systems of localized vortices. Zbl 1281.35066
Maslov, V. P.; Shafarevich, A. I.
2011
Application of the canonical operator to the description of self-focusing soliton-like solutions of the Kadomtsev-Petviashvili equation. Zbl 1326.35321
Maslov, V. P.; Shafarevich, A. I.
2011
Quantization conditions on Riemannian surfaces and the semiclassical spectrum of the Schrödinger operator with complex potential. Zbl 1234.81077
Esina, A. I.; Shafarevich, A. I.
2010
Semiclassical asymptotic behavior of the spectrum of a nonselfadjoint elliptic operator on a two-dimensional surface of revolution. Zbl 1251.35051
Roohian, H.; Shafarevich, A. I.
2010
Semiclassical spectral series of the Schrödinger operator with a delta potential on a straight line and on a sphere. Zbl 1298.81069
Filatova, T. A.; Shafarevich, A. I.
2010
Semiclassical asymptotics of the spectrum of a nonselfadjoint operator on the sphere. Zbl 1180.35399
Roohian, H.; Shafarevich, A. I.
2009
Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations. Zbl 1180.35336
Dobrokhotov, S. Yu.; Shafarevich, A. I.; Tirozzi, B.
2008
Semiclassical asymptotics and statistical properties of Gaussian packets for the nonstationary Schrödinger equation on a geometric graph. Zbl 1175.81115
Chernyshev, V. L.; Shafarevich, A. I.
2008
Propagation of Gaussian wave packets in thin periodic quantum waveguides with a nonlocal nonlinearity. Zbl 1145.81351
Brüning, J.; Dobrokhotov, S. Yu.; Nekrasov, R. V.; Shafarevich, A. I.
2008
Representations of rapidly decaying functions by the Maslov canonical operator. Zbl 1344.58014
Dobrokhotov, S. Yu.; Tirozzi, B.; Shafarevich, A. I.
2007
Semiclassical spectrum of the Schrödinger operator on a geometric graph. Zbl 1160.47022
Chernyshev, V. L.; Shafarevich, A. I.
2007
Quantization of periodic motions on compact surfaces of constant negative curvature in a magnetic field. Zbl 1132.81033
Brüning, J.; Nekrasov, R. V.; Shafarevich, A. I.
2007
Rapidly oscillating asymptotic solutions of the Navier-Stokes equations, coherent structures, Fomenko invariants, Kolmogorov spectrum, and flicker noise. Zbl 1115.35100
Maslov, V. P.; Shafarevich, A. I.
2006
Quantized Riemann surfaces and semiclassical spectral series for a non-self-adjoint Schrödinger operator with periodic coefficients. Zbl 1177.81043
Galtsev, S. V.; Shafarevich, A. I.
2006
Spectrum and pseudospectrum of non-self-adjoint Schrödinger operators with periodic coefficients. Zbl 1128.47042
Gal&rsquo;tsev, S. V.; Shafarevich, A. I.
2006
Cauchy–Riemann conditions and localized asymptotic solutions of linearized equations of shallow water theory. Zbl 1100.76506
Dobrokhotov, S. Yu.; Tirozzi, B.; Shafarevich, A. I.
2005
On asymptotic solutions of nonlinear equations in the presence of turning points. Zbl 1076.35028
Maslov, V. P.; Shafarevich, A. I.
2004
Asymptotical and topological constructions in hydrodynamics. Zbl 1072.76020
Shafarevich, Andrei I.
2002
The Navier-Stokes equations: Asymptotic solutions describing tangential discontinuities. Zbl 1011.76015
Shafarevich, A. I.
2000
Localized asymptotic solutions of the Navier-Stokes equations and topological invariants of vector fields. Prandtl-Maslov equations on Reeb graphs and Fomenko invariants. Zbl 1071.35536
Shafarevich, A. I.
2000
Tunnel splitting of the spectrum of the Beltrami-Laplace operators on two-dimensional surfaces with square integrable geodesic flow. Zbl 1019.58009
Dobrokhotov, S. Yu.; Shafarevich, A. I.
2000
“Momentum” tunneling between tori and the splitting of eigenvalues of the Laplace-Beltrami operator on Liouville surfaces. Zbl 0968.58025
Dobrokhotov, S. Yu.; Shafarevich, A. I.
1999
Differential equations on graphs describing asymptotic solutions of the Navier-Stokes equations localized in a small neighborhood of a curve. Zbl 1126.76313
Shafarevich, A. I.
1998
The behavior of the magnetic field in a conducting fluid with a rapidly varying velocity field. Zbl 0982.76571
Shafarevich, A. I.
1998
Generalized Prandtl-Maslov equations on graphs that describe stretched vortices in an incompressible fluid. Zbl 0986.76014
Shafarevich, A. I.
1998
A laminar wake in an arbitrary external flow. Zbl 1050.76528
Maslov, V. P.; Shafarevich, A. I.
1997
Laminar wake in an arbitrary external stream. Zbl 0921.76051
Maslov, V. P.; Shafarevich, A. I.
1997
On the behavior of an incompressible fluid velocity field at infinity. Zbl 0889.76011
Dobrokhotov, S. Yu.; Shafarevich, A. I.
1996
Magnetic field asymptotics in a well conducting fluid. Zbl 1181.76152
Dobrokhotov, Sergei; Olive, Victor M.; Ruzmaikin, Alexander; Shafarevich, Andrei
1996
Asymptotic solutions to the Hartree equation localized in a small neighborhood of a curve as $$h\to 0$$. Zbl 0900.76794
Vakulenko, S. A.; Maslov, V. P.; Molotkov, I. A.; Shafarevich, A. I.
1995
Some integral identities and remarks on the decay at infinity of the solutions to the Navier-Stokes equations in the entire space. Zbl 0976.35508
Dobrokhotov, Sergej Yu.; Shafarevich, Andrej I.
1994
Behavior of rapidly decreasing asymptotic solutions of linearized Navier-Stokes equations at $$t\to\infty$$. Zbl 0929.35107
Shafarevich, A. I.
1994
Asymptotic solutions of linearized Navier-Stokes equations. Zbl 0816.76025
Dobrokhotov, S. Yu.; Shafarevich, A. I.
1993
Parametrix and asymptotics of localized solutions of Navier-Stokes equations in $$R^ 3$$ linearized on a smooth flow. Zbl 0751.76020
Dobrokhotov, S. Yu.; Shafarevich, A. I.
1992
Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients. Zbl 0735.35089
Dobrokhotov, S. Yu.; Zhevandrov, P. N.; Maslov, V. P.; Shafarevich, A. I.
1991
Quasiclassical scattering of wave packets on a narrow band in which the potential rapidly changes. Zbl 0689.35080
Shafarevich, A. I.
1989
The short-wave asymptotics in a linearized system of equations of hydrodynamics with rapidly varying coefficients. Zbl 0850.35076
Dobrokhotov, S. Yu; Shafarevich, A. I.
1988
Semiclassical asymptotic behavior of the scattering of wave packets by the rapidly changing potential given by the equation $$-2| \nabla \Phi | ^ 2/\cosh ^ 2[\Phi (X)/h]+V_ 0(X)$$. Zbl 0696.35125
Dobrokhotov, S. Yu.; Shafarevich, A. I.
1987
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### Cited by 106 Authors

 56 Shafarevich, Andreĭ Igorevich 44 Dobrokhotov, Sergei Yurievich 26 Nazaikinskii, Vladimir E. 23 Allilueva, Anna I. 19 Tolchennikov, Anton A. 15 Maslov, Viktor Pavlovich 13 Tirozzi, Brunello 12 Chernyshev, Vsevolod L. 11 Sergeev, Sergeĭ Alekseevich 11 Tsvetkova, Anna V. 7 Minenkov, Dmitrii S. 6 Vybornyi, E. V. 4 Anikin, A. Yu. 4 Fufaev, Vladimir V. 4 Karasev, Mikhail Vladimirovich 4 Lozhnikov, D. A. 3 Grushin, V. V. 3 Kucherenko, Valeri V. 3 Sekerzh-Zen’kovich, Sergeĭ Yakovlevich 3 Stepin, Stanislav A. 2 Brandolese, Lorenzo 2 Brezhnev, Yurii V. 2 Brüning, Jochen 2 Cacciapuoti, Claudio 2 Chang, Tongkeun 2 Esina, A. I. 2 Fermi, Davide 2 Jin, Bumja 2 Kirillov, Oleg N. 2 Klevin, A. I. 2 Kryvko, Andriy 2 Kukavica, Igor 2 Kulikovskiĭ, Andreĭ Gennad’evich 2 Makrakis, George N. 2 Pereskokov, A. V. 2 Petrov, P. N. 2 Petrov, Pavel S. 2 Posilicano, Andrea 2 Qin, Yuming 2 Rouleux, Michel 2 Topalov, Peter J. 2 Tudorovskii, T. Ya. 2 Vargas, Carlos A. 2 Zhang, Jianlin 1 Avendaño-Camacho, Misael 1 Belov, Vladimir Vasilyevich 1 Bianchi, Daniela 1 Bulatov, Vitaliĭ Vasil’evich 1 Drouot, Alexis 1 Fang, Hui 1 Fujiié, Setsuro 1 Gnutzmann, Sven 1 Goncharovskii, M. M. 1 Ifa, Abdelwaheb 1 Izosimov, Anton 1 Khesin, Boris A. 1 Klimenko, M. V. 1 Kokotov, Aleksey 1 Kordyukov, Yuri A. 1 Korpusov, Maksim Olegovich 1 Kuznetsov, Sergey V. 1 Lagota, Kelvin A. 1 Lemarié-Rieusset, Pierre Gilles 1 Lozovsky, A. V. 1 Maksimov, V. A. 1 Mamani-Alegria, N. 1 Maslova, T. V. 1 McOwen, Robert C. 1 Meyer, Yves F. 1 M’hadhbi, Nal 1 Mutabazi, Innocent 1 Nekhaev, Dmitrii V. 1 Nekrasov, R. V. 1 Nosikov, I. A. 1 Novikova, E. M. 1 Olivé, Victor M. 1 Paschenko, N. T. 1 Prosviryakov, Evgeniĭ Yur’evich 1 Rabinovich, Vladimir Samuilovich 1 Ramírez de Arellano, Enrique 1 Ratiu, Tudor Stefan 1 Reis, Ednei 1 Reutskiy, Sergiy Yu 1 Roohian, Homaion 1 Ruzmaikin, Alexander A. 1 Sakbaev, Vsevolod Zhanovich 1 Schafarevich, A. I. 1 Semenov, Vladimir I. 1 Shchegortsova, O. A. 1 Shemetova, V. V. 1 Shi, Jianping 1 Shirokov, Igor’ Viktorovich 1 Sinitsyn, S. O. 1 Smilansky, Uzy 1 Suleimanova, A. A. 1 Sultan, Saif 1 Sviridyuk, Georgiĭ Anatol’evich 1 Taimanov, Iskander Asanovich 1 Vakhrameeva, D. A. 1 Volovich, Igor’ Vasil’evich ...and 6 more Authors
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### Cited in 45 Serials

 63 Russian Journal of Mathematical Physics 36 Mathematical Notes 14 Theoretical and Mathematical Physics 8 Doklady Mathematics 6 Proceedings of the Steklov Institute of Mathematics 5 Regular and Chaotic Dynamics 4 Prikladnaya Matematika i Mekhanika 4 Computational Mathematics and Mathematical Physics 3 Journal of Differential Equations 2 Functional Analysis and its Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Mathematical Physics 1 Fluid Dynamics 1 Geophysical and Astrophysical Fluid Dynamics 1 International Journal of Theoretical Physics 1 Journal of Applied Mathematics and Mechanics 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 Moscow University Mathematics Bulletin 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Journal of Mathematics 1 Ergodic Theory and Dynamical Systems 1 Physica D 1 Revista Matemática Iberoamericana 1 Geometric and Functional Analysis. GAFA 1 Russian Mathematics 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Sbornik: Mathematics 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Dynamical and Control Systems 1 Differential Equations 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Analysis and Mathematical Physics 1 Journal of Applied Analysis and Computation 1 Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Cited in 36 Fields

 114 Partial differential equations (35-XX) 71 Fluid mechanics (76-XX) 42 Quantum theory (81-XX) 19 Differential geometry (53-XX) 15 Dynamical systems and ergodic theory (37-XX) 11 Operator theory (47-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Ordinary differential equations (34-XX) 6 Combinatorics (05-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Optics, electromagnetic theory (78-XX) 6 Geophysics (86-XX) 4 Number theory (11-XX) 4 Mechanics of particles and systems (70-XX) 3 Algebraic geometry (14-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

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