Edit Profile Shafarevich, Andreĭ Igorevich Compute Distance To: Compute Author ID: shafarevich.andrei-i Published as: Shafarevich, A.; Shafarevich, A. I.; Shafarevich, Andrei; Shafarevich, Andrei I.; Shafarevich, Andrej I.; Shafarevich, Andrey I.; Shafarevich, Andreĭ I. Homepage: http://dfgm.math.msu.su/people/shafarevich/part1.php External Links: Math-Net.Ru · Wikidata · ORCID Documents Indexed: 107 Publications since 1987 all top 5 Co-Authors 17 single-authored 25 Dobrokhotov, Sergei Yurievich 21 Allilueva, Anna I. 15 Maslov, Viktor Pavlovich 7 Tsvetkova, Anna V. 4 Chernyshev, Vsevolod L. 4 Esina, A. I. 4 Nazaikinskii, Vladimir E. 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 Artem’ev, A. V. 1 Babich, Vasiliĭ Mikhaĭlovich 1 Bolotin, Sergeĭ Vladimirovich 1 Buldyrev, V. S. 1 Chebotarev, Alexandr M. 1 Chernous’ko, Feliks Leonidovich 1 Escamilla Reyna, Juan Alberto 1 Fomenko, Anatoliĭ Timofeevich 1 Fradkin, L. Yu. 1 Frost, V. A. 1 Kaloshin, V. A. 1 Klimov, Dmitrij M. 1 Kozlov, Valeriĭ Vasil’evich 1 Kryukovskij, A. S. 1 Kucherenko, Valeri V. 1 Lukin, Dmitry S. 1 Lukzen, Elena N. 1 Lyalinov, Mikhail Anatolievich 1 Martínez-Olivé, Victor 1 Mendoza Torres, Francisco Javier 1 Nekhaev, Dmitrii V. 1 Nikonov, Igor Mikhailovich 1 Pavlov, Boris Sergeevich 1 Petrukovich, A. A. 1 Popov, A. V. 1 Popov, Aleksandr Leonidovich 1 Rabinovich, Vladimir Samuilovich 1 Ruzmaikin, Alexander A. 1 Sánchez Perales, Salvador 1 Sekerzh-Zen’kovich, Sergeĭ Yakovlevich 1 Sergeev, Sergeĭ Alekseevich 1 Shchegortsova, O. A. 1 Sidorenko, Vladislav V. 1 Sturova, Izolda V. 1 Suleimanova, A. A. 1 Tolchennikov, Anton A. 1 Treshchev, Dmitriĭ Valer’evich 1 Vainchtein, Dmitri L. 1 Vakulenko, Sergei A. 1 Vasil’ev, Alekseĭ Alekseevich 1 Vishik, Marko Iosifovich 1 Zelenyi, Lev M. 1 Zhevandrov, Peter N. 1 Zotov, V. V. all top 5 Serials 31 Russian Journal of Mathematical Physics 19 Mathematical Notes 9 Doklady Mathematics 5 Theoretical and Mathematical Physics 5 Regular and Chaotic Dynamics 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 Russian Mathematical Surveys 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) all top 5 Fields 70 Partial differential equations (35-XX) 41 Fluid mechanics (76-XX) 24 Quantum theory (81-XX) 16 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) 3 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 372 times in 175 Documents Cited by ▼ Year ▼ Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations. Zbl 1180.35336Dobrokhotov, S. Yu.; Shafarevich, A. I.; Tirozzi, B. 42 2008 Representations of rapidly decaying functions by the Maslov canonical operator. Zbl 1344.58014Dobrokhotov, S. Yu.; Tirozzi, B.; Shafarevich, A. I. 26 2007 Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients. Zbl 0735.35089Dobrokhotov, S. Yu.; Zhevandrov, P. N.; Maslov, V. P.; Shafarevich, A. I. 22 1991 Some integral identities and remarks on the decay at infinity of the solutions to the Navier-Stokes equations in the entire space. Zbl 0976.35508Dobrokhotov, Sergej Yu.; Shafarevich, Andrej I. 15 1994 New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems. Zbl 1331.35219Allilueva, A. I.; Dobrokhotov, S. Yu.; Sergeev, S. A.; Shafarevich, A. I. 13 2015 Statistics of Gaussian packets on metric and decorated graphs. Zbl 1354.35122Chernyshev, V. L.; Shafarevich, A. I. 13 2014 New integral representations of the Maslov canonical operator in singular charts. Zbl 1369.81033Dobrokhotov, Sergei Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I. 12 2017 Semiclassical asymptotics and statistical properties of Gaussian packets for the nonstationary Schrödinger equation on a geometric graph. Zbl 1175.81115Chernyshev, 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 1115.35100Maslov, 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 0968.58025Dobrokhotov, S. Yu.; Shafarevich, A. I. 9 1999 Localized asymptotic solutions of the wave equation with variable velocity on the simplest graphs. Zbl 1380.35118Allilueva, A. I.; Shafarevich, A. I. 8 2017 On the behavior of an incompressible fluid velocity field at infinity. Zbl 0889.76011Dobrokhotov, S. Yu.; Shafarevich, A. I. 8 1996 Asymptotic solutions of linearized Navier-Stokes equations. Zbl 0816.76025Dobrokhotov, S. Yu.; Shafarevich, A. I. 8 1993 The Navier-Stokes equations: Asymptotic solutions describing tangential discontinuities. Zbl 1011.76015Shafarevich, A. I. 7 2000 Parametrix and asymptotics of localized solutions of Navier-Stokes equations in \(R^ 3\) linearized on a smooth flow. Zbl 0751.76020Dobrokhotov, S. Yu.; Shafarevich, A. I. 7 1992 Asymptotic solutions of Navier-Stokes equations and topological invariants of vector fields and Liouville foliations. Zbl 1308.76071Maslov, V. P.; Shafarevich, A. I. 6 2014 Quantization conditions on Riemannian surfaces and the semiclassical spectrum of the Schrödinger operator with complex potential. Zbl 1234.81077Esina, A. I.; Shafarevich, A. I. 6 2010 Semiclassical asymptotics of the spectrum of a nonselfadjoint operator on the sphere. Zbl 1180.35399Roohian, H.; Shafarevich, A. I. 6 2009 Differential equations on graphs describing asymptotic solutions of the Navier-Stokes equations localized in a small neighborhood of a curve. Zbl 1126.76313Shafarevich, A. I. 6 1998 Nonstandard characteristics and localized asymptotic solutions of a linearized magnetohydrodynamic system with small viscosity and drag. Zbl 1387.76110Allilueva, A. I.; Shafarevich, A. I. 5 2017 Asymptotic solutions of linearized Navier-Stokes equations localized in small neighborhoods of curves and surfaces. Zbl 1333.76033Allilueva, A. I.; Shafarevich, A. I. 5 2015 Delta-type solutions for a system of induction equations with discontinuous velocity field. Zbl 1313.35335Esina, A. I.; Shafarevich, A. I. 5 2014 Analogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operators. Zbl 1276.81060Esina, 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 1266.58015Ratiu, T.; Filatova, T. A.; Shafarevich, A. I. 5 2012 Semiclassical asymptotic behavior of the spectrum of a nonselfadjoint elliptic operator on a two-dimensional surface of revolution. Zbl 1251.35051Roohian, H.; Shafarevich, A. I. 5 2010 Asymptotical and topological constructions in hydrodynamics. Zbl 1072.76020Shafarevich, Andrei I. 5 2002 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 1407.35028Nazaikinskii, V. E.; Shafarevich, A. I. 4 2018 Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold. Zbl 1345.53083Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Shafarevich, A. I. 4 2016 Solutions of the wave equation on hybrid spaces of constant curvature. Zbl 1320.35178Shafarevich, A. I.; Tsvetkova, A. V. 4 2014 Spectral series of the Schrödinger operator with delta-potential on a three-dimensional spherically symmetric manifold. Zbl 1292.81063Ratiu, T. S.; Suleimanova, A. A.; Shafarevich, A. I. 4 2013 Asymptotic solutions of the Navier-Stokes equations describing periodic systems of localized vortices. Zbl 1281.35066Maslov, V. P.; Shafarevich, A. I. 4 2011 Semiclassical spectral series of the Schrödinger operator with a delta potential on a straight line and on a sphere. Zbl 1298.81069Filatova, T. A.; Shafarevich, A. I. 4 2010 Semiclassical spectrum of the Schrödinger operator on a geometric graph. Zbl 1160.47022Chernyshev, V. L.; Shafarevich, A. I. 4 2007 Cauchy–Riemann conditions and localized asymptotic solutions of linearized equations of shallow water theory. Zbl 1100.76506Dobrokhotov, S. Yu.; Tirozzi, B.; Shafarevich, A. I. 4 2005 The behavior of the magnetic field in a conducting fluid with a rapidly varying velocity field. Zbl 0982.76571Shafarevich, A. I. 4 1998 Generalized Prandtl-Maslov equations on graphs that describe stretched vortices in an incompressible fluid. Zbl 0986.76014Shafarevich, A. I. 4 1998 Magnetic field asymptotics in a well conducting fluid. Zbl 1181.76152Dobrokhotov, 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 0900.76794Vakulenko, S. A.; Maslov, V. P.; Molotkov, I. A.; Shafarevich, A. I. 4 1995 Maslov’s canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems. Zbl 1432.35025Nazaikinskii, V. E.; Shafarevich, A. I. 3 2019 Cauchy problem for the wave equation on the simplest decorated graph with initial conditions localized on a surface. Zbl 1418.35255Shafarevich, A. I.; Tsvetkova, A. V. 3 2019 Localized asymptotic solution of the wave equation with a radially symmetric velocity on a simplest decorated graph. Zbl 1402.35076Shafarevich, A. I.; Tsvetkova, A. V. 3 2018 On the distribution of energy of localized solutions of the Schrödinger equation that propagate along symmetric quantum graphs. Zbl 1447.81105Allilueva, A. I.; Shafarevich, A. I. 3 2017 The Cauchy problem for the wave equation on homogeneous trees. Zbl 1364.35404Tsvetkova, 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 1353.37140Chernyshev, Vsevolod L.; Tolchennikov, Anton A.; Shafarevich, Andrei I. 3 2016 Delta-type solutions for the non-Hermitian system of induction equations. Zbl 1336.78002Allilueva, 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 1177.81043Galtsev, S. V.; Shafarevich, A. I. 3 2006 A laminar wake in an arbitrary external flow. Zbl 1050.76528Maslov, V. P.; Shafarevich, A. I. 3 1997 The short-wave asymptotics in a linearized system of equations of hydrodynamics with rapidly varying coefficients. Zbl 0850.35076Dobrokhotov, S. Yu; Shafarevich, A. I. 3 1988 Short-wave asymptotic solutions of a linearized system of relativistic gas dynamics. Zbl 1434.35083Allilueva, A. I.; Shafarevich, A. I. 2 2019 Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics. Zbl 1412.35060Allilueva, Anna I.; Shafarevich, Andrei I. 2 2019 Asymptotic solutions of a magnetohydrodynamic system which describe smoothed discontinuities. Zbl 1351.35121Allilueva, Anna I.; Shafarevich, A. I. 2 2016 Asymptotics of the spectrum and eigenfunctions of the magnetic induction operator on a compact two-dimensional surface of revolution. Zbl 1315.35162Esina, A. I.; Shafarevich, A. I. 2 2014 Asymptotic solutions of the Navier-Stokes equations and systems of stretched vortices filling a three-dimensional volume. Zbl 1281.35067Maslov, V. P.; Shafarevich, A. I. 2 2012 Propagation of Gaussian wave packets in thin periodic quantum waveguides with a nonlocal nonlinearity. Zbl 1145.81351Brüning, J.; Dobrokhotov, S. Yu.; Nekrasov, R. V.; Shafarevich, A. I. 2 2008 Localized asymptotic solution of a variable-velocity wave equation on the simplest decorated graph. Zbl 1440.35205Tsvetkova, A. V.; Shafarevich, A. I. 1 2020 Semiclassical eigenfunctions of the Schrödinger operator on a graph that are localized near a subgraph. Zbl 1398.81100Allilueva, A. I.; Shafarevich, A. I. 1 2018 On the kernel of the Laplace operator on two-dimensional polyhedra. Zbl 1387.35125Lukzen, E. N.; Shafarevich, A. I. 1 2017 Asymptotic support of localized solutions of the linearized system of magnetohydrodynamics. Zbl 1359.76329Allilueva, 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 1348.81246Shafarevich, A. I. 1 2016 Application of the canonical operator to the description of self-focusing soliton-like solutions of the Kadomtsev-Petviashvili equation. Zbl 1326.35321Maslov, V. P.; Shafarevich, A. I. 1 2011 Quantization of periodic motions on compact surfaces of constant negative curvature in a magnetic field. Zbl 1132.81033Brüning, J.; Nekrasov, R. V.; Shafarevich, A. I. 1 2007 Spectrum and pseudospectrum of non-self-adjoint Schrödinger operators with periodic coefficients. Zbl 1128.47042Gal’tsev, S. V.; Shafarevich, A. I. 1 2006 On asymptotic solutions of nonlinear equations in the presence of turning points. Zbl 1076.35028Maslov, V. P.; Shafarevich, A. I. 1 2004 Localized asymptotic solutions of the Navier-Stokes equations and topological invariants of vector fields. Prandtl-Maslov equations on Reeb graphs and Fomenko invariants. Zbl 1071.35536Shafarevich, A. I. 1 2000 Tunnel splitting of the spectrum of the Beltrami-Laplace operators on two-dimensional surfaces with square integrable geodesic flow. Zbl 1019.58009Dobrokhotov, S. Yu.; Shafarevich, A. I. 1 2000 Laminar wake in an arbitrary external stream. Zbl 0921.76051Maslov, V. P.; Shafarevich, A. I. 1 1997 Behavior of rapidly decreasing asymptotic solutions of linearized Navier-Stokes equations at \(t\to\infty\). Zbl 0929.35107Shafarevich, A. I. 1 1994 Quasiclassical scattering of wave packets on a narrow band in which the potential rapidly changes. Zbl 0689.35080Shafarevich, A. I. 1 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 0696.35125Dobrokhotov, S. Yu.; Shafarevich, A. I. 1 1987 Localized asymptotic solution of a variable-velocity wave equation on the simplest decorated graph. Zbl 1440.35205Tsvetkova, A. V.; Shafarevich, A. I. 1 2020 Maslov’s canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems. Zbl 1432.35025Nazaikinskii, V. E.; Shafarevich, A. I. 3 2019 Cauchy problem for the wave equation on the simplest decorated graph with initial conditions localized on a surface. Zbl 1418.35255Shafarevich, A. I.; Tsvetkova, A. V. 3 2019 Short-wave asymptotic solutions of a linearized system of relativistic gas dynamics. Zbl 1434.35083Allilueva, A. I.; Shafarevich, A. I. 2 2019 Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics. Zbl 1412.35060Allilueva, 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 1407.35028Nazaikinskii, 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 1402.35076Shafarevich, A. I.; Tsvetkova, A. V. 3 2018 Semiclassical eigenfunctions of the Schrödinger operator on a graph that are localized near a subgraph. Zbl 1398.81100Allilueva, A. I.; Shafarevich, A. I. 1 2018 New integral representations of the Maslov canonical operator in singular charts. Zbl 1369.81033Dobrokhotov, Sergei Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I. 12 2017 Localized asymptotic solutions of the wave equation with variable velocity on the simplest graphs. Zbl 1380.35118Allilueva, A. I.; Shafarevich, A. I. 8 2017 Nonstandard characteristics and localized asymptotic solutions of a linearized magnetohydrodynamic system with small viscosity and drag. Zbl 1387.76110Allilueva, 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 1447.81105Allilueva, A. I.; Shafarevich, A. I. 3 2017 On the kernel of the Laplace operator on two-dimensional polyhedra. Zbl 1387.35125Lukzen, E. N.; Shafarevich, A. I. 1 2017 Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold. Zbl 1345.53083Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Shafarevich, A. I. 4 2016 The Cauchy problem for the wave equation on homogeneous trees. Zbl 1364.35404Tsvetkova, 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 1353.37140Chernyshev, Vsevolod L.; Tolchennikov, Anton A.; Shafarevich, Andrei I. 3 2016 Asymptotic solutions of a magnetohydrodynamic system which describe smoothed discontinuities. Zbl 1351.35121Allilueva, Anna I.; Shafarevich, A. I. 2 2016 Asymptotic support of localized solutions of the linearized system of magnetohydrodynamics. Zbl 1359.76329Allilueva, 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 1348.81246Shafarevich, A. I. 1 2016 New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems. Zbl 1331.35219Allilueva, 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 1333.76033Allilueva, A. I.; Shafarevich, A. I. 5 2015 Delta-type solutions for the non-Hermitian system of induction equations. Zbl 1336.78002Allilueva, A. I.; Shafarevich, A. I. 3 2015 Statistics of Gaussian packets on metric and decorated graphs. Zbl 1354.35122Chernyshev, V. L.; Shafarevich, A. I. 13 2014 Asymptotic solutions of Navier-Stokes equations and topological invariants of vector fields and Liouville foliations. Zbl 1308.76071Maslov, V. P.; Shafarevich, A. I. 6 2014 Delta-type solutions for a system of induction equations with discontinuous velocity field. Zbl 1313.35335Esina, A. I.; Shafarevich, A. I. 5 2014 Solutions of the wave equation on hybrid spaces of constant curvature. Zbl 1320.35178Shafarevich, 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 1315.35162Esina, A. I.; Shafarevich, A. I. 2 2014 Analogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operators. Zbl 1276.81060Esina, A. I.; Shafarevich, A. I. 5 2013 Spectral series of the Schrödinger operator with delta-potential on a three-dimensional spherically symmetric manifold. Zbl 1292.81063Ratiu, T. S.; Suleimanova, A. A.; Shafarevich, A. I. 4 2013 Noncompact Lagrangian manifolds corresponding to the spectral series of the Schrödinger operator with delta-potential on a surface of revolution. Zbl 1266.58015Ratiu, T.; Filatova, T. A.; Shafarevich, A. I. 5 2012 Asymptotic solutions of the Navier-Stokes equations and systems of stretched vortices filling a three-dimensional volume. Zbl 1281.35067Maslov, V. P.; Shafarevich, A. I. 2 2012 Asymptotic solutions of the Navier-Stokes equations describing periodic systems of localized vortices. Zbl 1281.35066Maslov, 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 1326.35321Maslov, V. P.; Shafarevich, A. I. 1 2011 Quantization conditions on Riemannian surfaces and the semiclassical spectrum of the Schrödinger operator with complex potential. Zbl 1234.81077Esina, A. I.; Shafarevich, A. I. 6 2010 Semiclassical asymptotic behavior of the spectrum of a nonselfadjoint elliptic operator on a two-dimensional surface of revolution. Zbl 1251.35051Roohian, H.; Shafarevich, A. I. 5 2010 Semiclassical spectral series of the Schrödinger operator with a delta potential on a straight line and on a sphere. Zbl 1298.81069Filatova, T. A.; Shafarevich, A. I. 4 2010 Semiclassical asymptotics of the spectrum of a nonselfadjoint operator on the sphere. Zbl 1180.35399Roohian, H.; Shafarevich, A. I. 6 2009 Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations. Zbl 1180.35336Dobrokhotov, S. Yu.; Shafarevich, A. I.; Tirozzi, B. 42 2008 Semiclassical asymptotics and statistical properties of Gaussian packets for the nonstationary Schrödinger equation on a geometric graph. Zbl 1175.81115Chernyshev, V. L.; Shafarevich, A. I. 9 2008 Propagation of Gaussian wave packets in thin periodic quantum waveguides with a nonlocal nonlinearity. Zbl 1145.81351Brüning, J.; Dobrokhotov, S. Yu.; Nekrasov, R. V.; Shafarevich, A. I. 2 2008 Representations of rapidly decaying functions by the Maslov canonical operator. Zbl 1344.58014Dobrokhotov, S. Yu.; Tirozzi, B.; Shafarevich, A. I. 26 2007 Semiclassical spectrum of the Schrödinger operator on a geometric graph. Zbl 1160.47022Chernyshev, V. L.; Shafarevich, A. I. 4 2007 Quantization of periodic motions on compact surfaces of constant negative curvature in a magnetic field. Zbl 1132.81033Brüning, J.; Nekrasov, R. V.; Shafarevich, A. I. 1 2007 Rapidly oscillating asymptotic solutions of the Navier-Stokes equations, coherent structures, Fomenko invariants, Kolmogorov spectrum, and flicker noise. Zbl 1115.35100Maslov, 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 1177.81043Galtsev, S. V.; Shafarevich, A. I. 3 2006 Spectrum and pseudospectrum of non-self-adjoint Schrödinger operators with periodic coefficients. Zbl 1128.47042Gal’tsev, S. V.; Shafarevich, A. I. 1 2006 Cauchy–Riemann conditions and localized asymptotic solutions of linearized equations of shallow water theory. Zbl 1100.76506Dobrokhotov, S. Yu.; Tirozzi, B.; Shafarevich, A. I. 4 2005 On asymptotic solutions of nonlinear equations in the presence of turning points. Zbl 1076.35028Maslov, V. P.; Shafarevich, A. I. 1 2004 Asymptotical and topological constructions in hydrodynamics. Zbl 1072.76020Shafarevich, Andrei I. 5 2002 The Navier-Stokes equations: Asymptotic solutions describing tangential discontinuities. Zbl 1011.76015Shafarevich, 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 1071.35536Shafarevich, A. I. 1 2000 Tunnel splitting of the spectrum of the Beltrami-Laplace operators on two-dimensional surfaces with square integrable geodesic flow. Zbl 1019.58009Dobrokhotov, 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 0968.58025Dobrokhotov, 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 1126.76313Shafarevich, A. I. 6 1998 The behavior of the magnetic field in a conducting fluid with a rapidly varying velocity field. Zbl 0982.76571Shafarevich, A. I. 4 1998 Generalized Prandtl-Maslov equations on graphs that describe stretched vortices in an incompressible fluid. Zbl 0986.76014Shafarevich, A. I. 4 1998 A laminar wake in an arbitrary external flow. Zbl 1050.76528Maslov, V. P.; Shafarevich, A. I. 3 1997 Laminar wake in an arbitrary external stream. Zbl 0921.76051Maslov, V. P.; Shafarevich, A. I. 1 1997 On the behavior of an incompressible fluid velocity field at infinity. Zbl 0889.76011Dobrokhotov, S. Yu.; Shafarevich, A. I. 8 1996 Magnetic field asymptotics in a well conducting fluid. Zbl 1181.76152Dobrokhotov, 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 0900.76794Vakulenko, 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 0976.35508Dobrokhotov, Sergej Yu.; Shafarevich, Andrej I. 15 1994 Behavior of rapidly decreasing asymptotic solutions of linearized Navier-Stokes equations at \(t\to\infty\). Zbl 0929.35107Shafarevich, A. I. 1 1994 Asymptotic solutions of linearized Navier-Stokes equations. Zbl 0816.76025Dobrokhotov, 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 0751.76020Dobrokhotov, S. Yu.; Shafarevich, A. I. 7 1992 Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients. Zbl 0735.35089Dobrokhotov, S. Yu.; Zhevandrov, P. N.; Maslov, V. P.; Shafarevich, A. I. 22 1991 Quasiclassical scattering of wave packets on a narrow band in which the potential rapidly changes. Zbl 0689.35080Shafarevich, A. I. 1 1989 The short-wave asymptotics in a linearized system of equations of hydrodynamics with rapidly varying coefficients. Zbl 0850.35076Dobrokhotov, 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 0696.35125Dobrokhotov, S. Yu.; Shafarevich, A. I. 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 111 Authors 54 Shafarevich, Andreĭ Igorevich 43 Dobrokhotov, Sergei Yurievich 25 Nazaikinskii, Vladimir E. 21 Allilueva, Anna I. 16 Tolchennikov, Anton A. 14 Maslov, Viktor Pavlovich 13 Tirozzi, Brunello 10 Chernyshev, Vsevolod L. 10 Sergeev, Sergeĭ Alekseevich 10 Tsvetkova, Anna V. 6 Vybornyi, E. V. 5 Minenkov, Dmitrii S. 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 Brüning, Jochen 2 Cacciapuoti, Claudio 2 Chang, Tongkeun 2 Esina, A. I. 2 Fermi, Davide 2 Jin, Bum Ja 2 Kirillov, Oleg N. 2 Kryvko, Andriy 2 Kukavica, Igor 2 Kulikovskiĭ, Andreĭ Gennad’evich 2 Makrakis, George N. 2 Novikova, E. M. 2 Petrov, P. N. 2 Petrov, P. 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 Brezhnev, Yurii V. 1 Bulatov, Vitaliĭ Vasil’evich 1 Drouot, Alexis 1 Fang, Hui 1 Fujiié, Setsuro 1 Gnutzmann, Sven 1 Goncharovskii, M. M. 1 Hu, Chinkun 1 Ifa, Abdelwaheb 1 Izosimov, Anton 1 Khesin, Boris A. 1 Klevin, A. I. 1 Klimenko, M. V. 1 Kokotov, Aleksey 1 Kordyukov, Yuri A. 1 Korpusov, Maksim Olegovich 1 Kuznetsov, Sergey V. 1 Lagota, Kelvin A. 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 Mousavi, Mehdi Abbasi 1 Mutabazi, Innocent 1 Nekhaev, Dmitrii V. 1 Nekrasov, R. V. 1 Nosikov, I. A. 1 Novikova, Elena 1 Olivé, Victor M. 1 Paschenko, N. T. 1 Pereskokov, A. V. 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 Rozanova, Olga S. 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 ...and 11 more Authors all top 5 Cited in 45 Serials 58 Russian Journal of Mathematical Physics 35 Mathematical Notes 10 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 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 Nonlinear Analysis. Real World Applications 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 all top 5 Cited in 34 Fields 107 Partial differential equations (35-XX) 71 Fluid mechanics (76-XX) 39 Quantum theory (81-XX) 17 Differential geometry (53-XX) 16 Dynamical systems and ergodic theory (37-XX) 10 Operator theory (47-XX) 8 Ordinary differential equations (34-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Optics, electromagnetic theory (78-XX) 6 Geophysics (86-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Mechanics of particles and systems (70-XX) 3 Algebraic geometry (14-XX) 2 General and overarching topics; collections (00-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-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 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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