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Shafarevich, Andreĭ Igorevich

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Author ID: shafarevich.andrei-i Recent zbMATH articles by "Shafarevich, Andreĭ Igorevich"
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: 116 Publications since 1987
Co-Authors: 134 Co-Authors with 98 Joint Publications
3,084 Co-Co-Authors
all top 5

Co-Authors

17 single-authored
26 Dobrokhotov, Sergei Yurievich
24 Allilueva, Anna I.
15 Maslov, Viktor Pavlovich
8 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 Artamonov, Vyacheslav Aleksandrovich
2 Bokut, Leonid A.
2 Borisenko, Vladimir V.
2 Brüning, Jochen
2 Bunina, Elena Igor’evna
2 Filatova, T. A.
2 Guterman, Alexander Èmilevich
2 Kanel’-Belov, Alekseĭ Yakovlevich
2 Mikhalëv, Aleksandr Vasil’evich
2 Molotkov, I. A.
2 Nekrasov, R. V.
2 Ol’shanskiĭ, Aleksandr Yur’evich
2 Prokhorov, Yuriĭ Gennad’evich
2 Ratiu, Tudor Stefan
2 Roohian, Homaion
2 Shestakov, Ivan Pavlovich
2 Zaĭtsev, Mikhail Vladimirovich
1 Adrianov, Nikolai M.
1 Ageev, Oleg N.
1 Artem’ev, A. V.
1 Babich, Vasiliĭ Mikhaĭlovich
1 Bahturin, Yuri
1 Balaba, Irina Nikolaevna
1 Bolotin, Sergeĭ Vladimirovich
1 Bolsinov, Alexey V.
1 Bukhshtaber, Viktor Matveevich
1 Buldyrev, V. S.
1 Chebotarev, Alexandr M.
1 Chernous’ko, Feliks Leonidovich
1 Chubarikov, Vladimir Nikolaevich
1 Chubarov, Igor A.
1 Dubrovin, Nikolaĭ Ivanovich
1 Efremova, Lyudmila S.
1 Ershov, Yuriĭ Leonidovich
1 Escamilla Reyna, Juan Alberto
1 Fomenko, Anatoliĭ Timofeevich
1 Fradkin, L. Yu.
1 Frost, V. A.
1 Gaifullin, Sergey A.
1 Glavatskiĭ, Sergeĭ Timofeevich
1 Golubchik, Igor Z.
1 González, Santos
1 Grigorchuk, Rostislav Ivanovich
1 Grines, Vyacheslav Zigmundovich
1 Grishin, Aleksandr V.
1 Gurevich, Boris
1 Helemskii, Alexander Ya.
1 Ilyina, N. K.
1 Ivanov, Aleksandr Olegovich
1 Kaloshin, V. A.
1 Kanunnikov, Andrei L.
1 Kashin, Boris Sergeevich
1 Kemer, Aleksandr Robertovich
1 Kharchenko, Vladislav K.
1 Kislitsyn, E. S.
1 Klimov, Dmitrij M.
1 Klyachko, Anton Aleksandrovich
1 Kochergin, Andrey V.
1 Kolokoltsov, Vassili N.
1 Kozhukhov, Igor’ Borisovich
1 Kozlov, Valeriĭ Vasil’evich
1 Kreĭnes, Elena M.
1 Kryukovskij, A. S.
1 Kucherenko, Valeri V.
1 Kudryavtseva, Elena A.
1 Kulikova, O. V.
1 Lerman, Lev
1 Lukashenko, Taras P.
1 Lukin, Dmitry S.
1 Lukzen, Elena N.
1 Lyalinov, Mikhail Anatolievich
1 Markova, Olga V.
1 Martínez-Olivé, Victor
1 Martínez López, Consuelo
1 Mendoza Torres, Francisco Javier
1 Mikhalëv, Aleksandr Aleksandrovich
1 Mishchenko, Sergeĭ Petrovich
1 Mykytyuk, Ihor V.
1 Nekhaev, Dmitrii V.
1 Nikonov, Igor Mikhailovich
1 Novikov, Sergeĭ Petrovich
1 Oseledets, Valeriĭ Iustinovich
1 Oshemkov, Andreĭ Aleksandrovich
1 Pavlov, Boris Sergeevich
1 Pchelintsev, Sergeĭ Valentinovich
1 Pentus, A. E.
1 Petrov, A. V.
1 Petrukovich, A. A.
1 Plakhov, A. Yu
1 Pochinka, Olga Vital’evna
...and 40 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

76 Publications have been cited 415 times in 196 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.
46
2008
Representations of rapidly decaying functions by the Maslov canonical operator. Zbl 1344.58014
Dobrokhotov, S. Yu.; Tirozzi, B.; Shafarevich, A. I.
28
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.
23
1991
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.
18
1994
New integral representations of the Maslov canonical operator in singular charts. Zbl 1369.81033
Dobrokhotov, Sergei Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I.
18
2017
Statistics of Gaussian packets on metric and decorated graphs. Zbl 1354.35122
Chernyshev, V. L.; Shafarevich, A. I.
15
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.
13
2015
Localized asymptotic solutions of the wave equation with variable velocity on the simplest graphs. Zbl 1380.35118
Allilueva, A. I.; Shafarevich, A. I.
10
2017
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.
9
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.
9
2006
“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.
9
1999
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.
8
1992
Asymptotic solutions of linearized Navier-Stokes equations. Zbl 0816.76025
Dobrokhotov, S. Yu.; Shafarevich, A. I.
8
1993
On the behavior of an incompressible fluid velocity field at infinity. Zbl 0889.76011
Dobrokhotov, S. Yu.; Shafarevich, A. I.
8
1996
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.
7
1998
The Navier-Stokes equations: Asymptotic solutions describing tangential discontinuities. Zbl 1011.76015
Shafarevich, A. I.
7
2000
Asymptotic solutions of Navier-Stokes equations and topological invariants of vector fields and Liouville foliations. Zbl 1308.76071
Maslov, V. P.; Shafarevich, A. I.
7
2014
Semiclassical asymptotics of the spectrum of a nonselfadjoint operator on the sphere. Zbl 1180.35399
Roohian, H.; Shafarevich, A. I.
6
2009
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.
6
2012
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.
6
2010
Asymptotical and topological constructions in hydrodynamics. Zbl 1072.76020
Shafarevich, Andrei I.
5
2002
Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold. Zbl 1345.53083
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Shafarevich, A. I.
5
2016
Delta-type solutions for a system of induction equations with discontinuous velocity field. Zbl 1313.35335
Esina, A. I.; Shafarevich, A. I.
5
2014
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.
5
2010
Asymptotic solutions of linearized Navier-Stokes equations localized in small neighborhoods of curves and surfaces. Zbl 1333.76033
Allilueva, A. I.; Shafarevich, A. I.
5
2015
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.
5
2013
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.
5
2017
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.
5
2013
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.
5
2010
Generalized Prandtl-Maslov equations on graphs that describe stretched vortices in an incompressible fluid. Zbl 0986.76014
Shafarevich, A. I.
4
1998
The behavior of the magnetic field in a conducting fluid with a rapidly varying velocity field. Zbl 0982.76571
Shafarevich, A. I.
4
1998
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.
4
2018
Solutions of the wave equation on hybrid spaces of constant curvature. Zbl 1320.35178
Shafarevich, A. I.; Tsvetkova, A. V.
4
2014
Magnetic field asymptotics in a well conducting fluid. Zbl 1181.76152
Dobrokhotov, Sergei; Olive, Victor M.; Ruzmaikin, Alexander; Shafarevich, Andrei
4
1996
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.
4
2008
Asymptotic solutions of the Navier-Stokes equations describing periodic systems of localized vortices. Zbl 1281.35066
Maslov, V. P.; Shafarevich, A. I.
4
2011
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.
4
1995
Semiclassical spectrum of the Schrödinger operator on a geometric graph. Zbl 1160.47022
Chernyshev, V. L.; Shafarevich, A. I.
4
2007
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.
4
2018
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.
3
2019
A laminar wake in an arbitrary external flow. Zbl 1050.76528
Maslov, V. P.; Shafarevich, A. I.
3
1997
The Cauchy problem for the wave equation on homogeneous trees. Zbl 1364.35404
Tsvetkova, A. V.; Shafarevich, A. I.
3
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.
3
1988
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.
3
2017
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.
3
2016
Delta-type solutions for the non-Hermitian system of induction equations. Zbl 1336.78002
Allilueva, A. I.; Shafarevich, A. I.
3
2015
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.
3
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.
3
2005
Quasiclassical scattering of wave packets on a narrow band in which the potential rapidly changes. Zbl 0689.35080
Shafarevich, A. I.
3
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.
3
1987
Maslov’s canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems. Zbl 1432.35025
Nazaikinskii, V. E.; Shafarevich, A. I.
3
2019
Asymptotic solutions of a magnetohydrodynamic system which describe smoothed discontinuities. Zbl 1351.35121
Allilueva, Anna I.; Shafarevich, A. I.
2
2016
Short-wave asymptotic solutions of a linearized system of relativistic gas dynamics. Zbl 1434.35083
Allilueva, A. I.; Shafarevich, A. I.
2
2019
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.
2
2014
Localized asymptotic solution of a variable-velocity wave equation on the simplest decorated graph. Zbl 1440.35205
Tsvetkova, A. V.; Shafarevich, A. I.
2
2020
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.
2
2007
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.
2
2012
Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics. Zbl 1412.35060
Allilueva, Anna I.; Shafarevich, Andrei I.
2
2019
Short-wave asymptotic solutions of the wave equation with localized perturbations of the velocity. Zbl 1441.35150
Allilueva, A. I.; Shafarevich, A. I.
2
2020
Semiclassical asymptotics of the solution to the Cauchy problem for the Schrödinger equation with a delta potential localized on a codimension 1 surface. Zbl 1455.35213
Shafarevich, A. I.; Shchegortsova, O. A.
1
2020
Laminar wake in an arbitrary external stream. Zbl 0921.76051
Maslov, V. P.; Shafarevich, A. I.
1
1997
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.
1
2000
On asymptotic solutions of nonlinear equations in the presence of turning points. Zbl 1076.35028
Maslov, V. P.; Shafarevich, A. I.
1
2004
Fomenko invariants in the asymptotic theory of the Navier-Stokes equations. Zbl 1446.76094
Maslov, V. P.; Shafarevich, A. I.
1
2017
Asymptotic support of localized solutions of the linearized system of magnetohydrodynamics. Zbl 1359.76329
Allilueva, A. I.; Shafarevich, A. I.
1
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.
1
2016
Efficient asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations. Zbl 1492.81056
Dobrokhotov, Sergey Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I.
1
2021
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. Zbl 1442.35041
Tsvetkova, A. V.; Shafarevich, A. I.
1
2020
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.
1
2011
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.
1
2000
Spectrum and pseudospectrum of non-self-adjoint Schrödinger operators with periodic coefficients. Zbl 1128.47042
Gal’tsev, S. V.; Shafarevich, A. I.
1
2006
On the kernel of the Laplace operator on two-dimensional polyhedra. Zbl 1387.35125
Lukzen, E. N.; Shafarevich, A. I.
1
2017
Behavior of rapidly decreasing asymptotic solutions of linearized Navier-Stokes equations at \(t\to\infty\). Zbl 0929.35107
Shafarevich, A. I.
1
1994
Semiclassical eigenfunctions of the Schrödinger operator on a graph that are localized near a subgraph. Zbl 1398.81100
Allilueva, A. I.; Shafarevich, A. I.
1
2018
Localized asymptotic solutions of linearized equations of gas dynamics. Zbl 1408.35141
Allilueva, A. I.; Shafarevich, A. I.
1
2018
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.
1
2021
Efficient asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations. Zbl 1492.81056
Dobrokhotov, Sergey Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I.
1
2021
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.
1
2021
Localized asymptotic solution of a variable-velocity wave equation on the simplest decorated graph. Zbl 1440.35205
Tsvetkova, A. V.; Shafarevich, A. I.
2
2020
Short-wave asymptotic solutions of the wave equation with localized perturbations of the velocity. Zbl 1441.35150
Allilueva, A. I.; Shafarevich, A. I.
2
2020
Semiclassical asymptotics of the solution to the Cauchy problem for the Schrödinger equation with a delta potential localized on a codimension 1 surface. Zbl 1455.35213
Shafarevich, A. I.; Shchegortsova, O. A.
1
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. Zbl 1442.35041
Tsvetkova, A. V.; Shafarevich, A. I.
1
2020
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.
3
2019
Maslov’s canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems. Zbl 1432.35025
Nazaikinskii, V. E.; Shafarevich, A. I.
3
2019
Short-wave asymptotic solutions of a linearized system of relativistic gas dynamics. Zbl 1434.35083
Allilueva, A. I.; Shafarevich, A. I.
2
2019
Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics. Zbl 1412.35060
Allilueva, Anna I.; Shafarevich, Andrei I.
2
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.
4
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.
4
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.
1
2018
Localized asymptotic solutions of linearized equations of gas dynamics. Zbl 1408.35141
Allilueva, A. I.; Shafarevich, A. I.
1
2018
New integral representations of the Maslov canonical operator in singular charts. Zbl 1369.81033
Dobrokhotov, Sergei Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I.
18
2017
Localized asymptotic solutions of the wave equation with variable velocity on the simplest graphs. Zbl 1380.35118
Allilueva, A. I.; Shafarevich, A. I.
10
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.
5
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.
3
2017
Fomenko invariants in the asymptotic theory of the Navier-Stokes equations. Zbl 1446.76094
Maslov, V. P.; Shafarevich, A. I.
1
2017
On the kernel of the Laplace operator on two-dimensional polyhedra. Zbl 1387.35125
Lukzen, E. N.; Shafarevich, A. I.
1
2017
Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold. Zbl 1345.53083
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Shafarevich, A. I.
5
2016
The Cauchy problem for the wave equation on homogeneous trees. Zbl 1364.35404
Tsvetkova, A. V.; Shafarevich, A. I.
3
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.
3
2016
Asymptotic solutions of a magnetohydrodynamic system which describe smoothed discontinuities. Zbl 1351.35121
Allilueva, Anna I.; Shafarevich, A. I.
2
2016
Asymptotic support of localized solutions of the linearized system of magnetohydrodynamics. Zbl 1359.76329
Allilueva, A. I.; Shafarevich, A. I.
1
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.
1
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.
13
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.
5
2015
Delta-type solutions for the non-Hermitian system of induction equations. Zbl 1336.78002
Allilueva, A. I.; Shafarevich, A. I.
3
2015
Statistics of Gaussian packets on metric and decorated graphs. Zbl 1354.35122
Chernyshev, V. L.; Shafarevich, A. I.
15
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.
7
2014
Delta-type solutions for a system of induction equations with discontinuous velocity field. Zbl 1313.35335
Esina, A. I.; Shafarevich, A. I.
5
2014
Solutions of the wave equation on hybrid spaces of constant curvature. Zbl 1320.35178
Shafarevich, A. I.; Tsvetkova, A. V.
4
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.
2
2014
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.
5
2013
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.
5
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.
6
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.
2
2012
Asymptotic solutions of the Navier-Stokes equations describing periodic systems of localized vortices. Zbl 1281.35066
Maslov, V. P.; Shafarevich, A. I.
4
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.
1
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.
6
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.
5
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.
5
2010
Semiclassical asymptotics of the spectrum of a nonselfadjoint operator on the sphere. Zbl 1180.35399
Roohian, H.; Shafarevich, A. I.
6
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.
46
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.
9
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.
4
2008
Representations of rapidly decaying functions by the Maslov canonical operator. Zbl 1344.58014
Dobrokhotov, S. Yu.; Tirozzi, B.; Shafarevich, A. I.
28
2007
Semiclassical spectrum of the Schrödinger operator on a geometric graph. Zbl 1160.47022
Chernyshev, V. L.; Shafarevich, A. I.
4
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.
2
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.
9
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.
3
2006
Spectrum and pseudospectrum of non-self-adjoint Schrödinger operators with periodic coefficients. Zbl 1128.47042
Gal’tsev, S. V.; Shafarevich, A. I.
1
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.
3
2005
On asymptotic solutions of nonlinear equations in the presence of turning points. Zbl 1076.35028
Maslov, V. P.; Shafarevich, A. I.
1
2004
Asymptotical and topological constructions in hydrodynamics. Zbl 1072.76020
Shafarevich, Andrei I.
5
2002
The Navier-Stokes equations: Asymptotic solutions describing tangential discontinuities. Zbl 1011.76015
Shafarevich, A. I.
7
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.
1
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.
1
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.
9
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.
7
1998
Generalized Prandtl-Maslov equations on graphs that describe stretched vortices in an incompressible fluid. Zbl 0986.76014
Shafarevich, A. I.
4
1998
The behavior of the magnetic field in a conducting fluid with a rapidly varying velocity field. Zbl 0982.76571
Shafarevich, A. I.
4
1998
A laminar wake in an arbitrary external flow. Zbl 1050.76528
Maslov, V. P.; Shafarevich, A. I.
3
1997
Laminar wake in an arbitrary external stream. Zbl 0921.76051
Maslov, V. P.; Shafarevich, A. I.
1
1997
On the behavior of an incompressible fluid velocity field at infinity. Zbl 0889.76011
Dobrokhotov, S. Yu.; Shafarevich, A. I.
8
1996
Magnetic field asymptotics in a well conducting fluid. Zbl 1181.76152
Dobrokhotov, Sergei; Olive, Victor M.; Ruzmaikin, Alexander; Shafarevich, Andrei
4
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.
4
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.
18
1994
Behavior of rapidly decreasing asymptotic solutions of linearized Navier-Stokes equations at \(t\to\infty\). Zbl 0929.35107
Shafarevich, A. I.
1
1994
Asymptotic solutions of linearized Navier-Stokes equations. Zbl 0816.76025
Dobrokhotov, S. Yu.; Shafarevich, A. I.
8
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.
8
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.
23
1991
Quasiclassical scattering of wave packets on a narrow band in which the potential rapidly changes. Zbl 0689.35080
Shafarevich, A. I.
3
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.
3
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.
3
1987
all top 5

Cited by 107 Authors

58 Shafarevich, Andreĭ Igorevich
46 Dobrokhotov, Sergei Yurievich
27 Nazaikinskii, Vladimir E.
24 Allilueva, Anna I.
19 Tolchennikov, Anton A.
15 Maslov, Viktor Pavlovich
13 Tirozzi, Brunello
12 Chernyshev, Vsevolod L.
12 Sergeev, Sergeĭ Alekseevich
12 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 Brandolese, Lorenzo
3 Cacciapuoti, Claudio
3 Fermi, Davide
3 Grushin, V. V.
3 Klevin, A. I.
3 Kucherenko, Valeri V.
3 Posilicano, Andrea
3 Sekerzh-Zen’kovich, Sergeĭ Yakovlevich
3 Stepin, Stanislav A.
3 Topalov, Peter J.
2 Brezhnev, Yurii V.
2 Brüning, Jochen
2 Chang, Tongkeun
2 Esina, A. I.
2 Jin, Bumja
2 Kirillov, Oleg N.
2 Kordyukov, Yuri A.
2 Kryvko, Andriy
2 Kukavica, Igor
2 Kulikovskiĭ, Andreĭ Gennad’evich
2 Makrakis, George N.
2 McOwen, Robert C.
2 Pereskokov, A. V.
2 Petrov, P. N.
2 Petrov, Pavel S.
2 Qin, Yuming
2 Rouleux, Michel
2 Taimanov, Iskander Asanovich
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 Gaydukov, R. K.
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 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 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 Vakhrameeva, D. A.
...and 7 more Authors
all top 5

Cited in 49 Serials

65 Russian Journal of Mathematical Physics
37 Mathematical Notes
14 Theoretical and Mathematical Physics
8 Doklady Mathematics
6 Regular and Chaotic Dynamics
6 Proceedings of the Steklov Institute of Mathematics
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 Reviews in Mathematical Physics
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Canadian Journal of Mathematics
1 Mathematische Annalen
1 Transactions of the Moscow Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Physica D
1 Revista Matemática Iberoamericana
1 Geometric and Functional Analysis. GAFA
1 Communications in Partial Differential Equations
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

Citations by Year

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