Edit Profile (opens in new tab) Shafarevich, Andreĭ Igorevich Co-Author Distance Author ID: shafarevich.andrei-i Published as: Shafarevich, A. I.; Shafarevich, Andrei I.; Shafarevich, Andrei; Shafarevich, Andrej I.; Shafarevich, Andreĭ I.; Shafarevich, Andrey I.; Shafarevich, A. more...less Further Spellings: Шафаревич Андрей Игоревич Homepage: http://dfgm.math.msu.su/people/shafarevich/part1.php External Links: ORCID · Wikidata · Math-Net.Ru Documents Indexed: 122 Publications since 1987 Co-Authors: 160 Co-Authors with 104 Joint Publications 3,812 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 Ivanov, Aleksandr Olegovich 5 Kanel’-Belov, Alekseĭ Yakovlevich 5 Nazaikinskii, Vladimir E. 4 Chernyshev, Vsevolod L. 4 Chubarikov, Vladimir Nikolaevich 4 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 4 Esina, A. I. 4 Tirozzi, Brunello 3 Chirskiĭ, Vladimir Grigor’evich 3 Dobrovol’skiĭ, Nikolai Nikolaevich 3 Fomenko, Anatoliĭ Timofeevich 3 Gal’tsev, S. V. 3 Mikhalëv, Aleksandr Vasil’evich 3 Olivé, Victor M. 3 Ol’shanskiĭ, Aleksandr Yur’evich 3 Rebrova, Irina Yur’evna 3 Zaĭtsev, Mikhail Vladimirovich 2 Artamonov, Vyacheslav Aleksandrovich 2 Balaba, Irina Nikolaevna 2 Bokut, Leonid A. 2 Borisenko, Vladimir V. 2 Brüning, Jochen 2 Bunina, Elena Igor’evna 2 Demidov, Sergeĭ Sergeevich 2 Deza, Elena Ivanovna 2 Filatova, T. A. 2 Gashkov, Sergey B. 2 Guterman, Alexander Èmilevich 2 Kozhukhov, Igor’ Borisovich 2 Kozlov, Valeriĭ Vasil’evich 2 Molotkov, I. A. 2 Nekrasov, R. V. 2 Nizhnikov, Aleksandr Ivanovich 2 Prokhorov, Yuriĭ Gennad’evich 2 Ratiu, Tudor Stefan 2 Roohian, Homaion 2 Shestakov, Ivan Pavlovich 1 Adrianov, Nikolai M. 1 Ageev, Oleg N. 1 Artem’ev, A. V. 1 Babich, Vasiliĭ Mikhaĭlovich 1 Bahturin, Yuri 1 Bernik, Vasiliĭ Ivanovich 1 Bolotin, Sergeĭ Vladimirovich 1 Bolsinov, Alexey V. 1 Bukhshtaber, Viktor Matveevich 1 Bukhstaber, V. M. 1 Buldyrev, V. S. 1 Bykovskiĭ, Viktor Alekseevich 1 Chebotarev, Alexandr M. 1 Chernous’ko, Feliks Leonidovich 1 Chinenova, Vera Nikolaevna 1 Chubarov, Igor A. 1 Dubrovin, Nikolaĭ Ivanovich 1 Efremova, Lyudmila S. 1 Ershov, Yuriĭ Leonidovich 1 Escamilla Reyna, Juan Alberto 1 Fradkin, L. Yu. 1 Frost, V. A. 1 Gaifullin, Sergey A. 1 Galochkin, A. I. 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 Kaloshin, V. A. 1 Kanunnikov, Andrei Leonidovich 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 Kozlov, Mykyta V. 1 Kreĭnes, Elena M. 1 Kryukovskij, A. S. 1 Kucherenko, Valeri V. 1 Kudryavtseva, Elena A. 1 Kulikova, O. V. 1 Lavrinenko, I. A. 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 ...and 60 more Co-Authors all top 5 Serials 35 Russian Journal of Mathematical Physics 19 Mathematical Notes 10 Doklady Mathematics 5 Theoretical and Mathematical Physics 5 Regular and Chaotic Dynamics 5 Chebyshevskiĭ Sbornik 4 Russian Mathematical Surveys 3 Physics-Doklady 3 Proceedings of the Steklov Institute of Mathematics 2 Prikladnaya Matematika i Mekhanika 2 Journal of Mathematical Sciences (New York) 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 Transactions of the Moscow Mathematical Society 1 Soviet Physics. Doklady 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Trudy Seminara po Vektornomu i Tenzornomu Analizu 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 77 Partial differential equations (35-XX) 42 Fluid mechanics (76-XX) 26 Quantum theory (81-XX) 18 Differential geometry (53-XX) 13 Ordinary differential equations (34-XX) 11 History and biography (01-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Operator theory (47-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 78 Publications have been cited 471 times in 221 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. 48 2008 Representations of rapidly decaying functions by the Maslov canonical operator. Zbl 1344.58014 Dobrokhotov, S. Yu.; Tirozzi, B.; Shafarevich, A. I. 30 2007 New integral representations of the Maslov canonical operator in singular charts. Zbl 1369.81033 Dobrokhotov, Sergei Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I. 26 2017 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. 25 1991 Statistics of Gaussian packets on metric and decorated graphs. Zbl 1354.35122 Chernyshev, V. L.; Shafarevich, A. I. 19 2014 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 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. 15 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. 11 1999 Asymptotic solutions of linearized Navier-Stokes equations. Zbl 0816.76025 Dobrokhotov, S. Yu.; Shafarevich, A. I. 10 1993 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 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. 10 2021 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 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 On the behavior of an incompressible fluid velocity field at infinity. Zbl 0889.76011 Dobrokhotov, S. Yu.; Shafarevich, A. I. 9 1996 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 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. 7 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. 7 2017 The Navier-Stokes equations: Asymptotic solutions describing tangential discontinuities. Zbl 1011.76015 Shafarevich, A. I. 7 2000 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 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 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. 7 2012 Semiclassical asymptotics of the spectrum of a nonselfadjoint operator on the sphere. Zbl 1180.35399 Roohian, H.; Shafarevich, A. I. 6 2009 The Cauchy problem for the wave equation on homogeneous trees. Zbl 1364.35404 Tsvetkova, A. V.; Shafarevich, A. I. 6 2016 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. 6 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 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 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. 5 2016 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 Asymptotical and topological constructions in hydrodynamics. Zbl 1072.76020 Shafarevich, Andrei I. 5 2002 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 Quasiclassical scattering of wave packets on a narrow band in which the potential rapidly changes. Zbl 0689.35080 Shafarevich, A. I. 4 1989 Magnetic field asymptotics in a well conducting fluid. Zbl 1181.76152 Dobrokhotov, Sergei; Olive, Victor M.; Ruzmaikin, Alexander; Shafarevich, Andrei 4 1996 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 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 Solutions of the wave equation on hybrid spaces of constant curvature. Zbl 1320.35178 Shafarevich, A. I.; Tsvetkova, A. V. 4 2014 Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold. Zbl 1345.53083 Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Shafarevich, A. I. 4 2016 Semiclassical spectrum of the Schrödinger operator on a geometric graph. Zbl 1160.47022 Chernyshev, V. L.; Shafarevich, A. I. 4 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. 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 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 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 A laminar wake in an arbitrary external flow. Zbl 1050.76528 Maslov, V. P.; Shafarevich, A. I. 3 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. 3 2005 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 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 Delta-type solutions for the non-Hermitian system of induction equations. Zbl 1336.78002 Allilueva, A. I.; Shafarevich, A. I. 3 2015 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. 3 2014 Fomenko invariants in the asymptotic theory of the Navier-Stokes equations. Zbl 1446.76094 Maslov, V. P.; Shafarevich, A. I. 3 2017 Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics. Zbl 1412.35060 Allilueva, Anna I.; Shafarevich, Andrei I. 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 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 Spectrum and pseudospectrum of non-self-adjoint Schrödinger operators with periodic coefficients. Zbl 1128.47042 Gal’tsev, S. V.; Shafarevich, A. I. 2 2006 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 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. 2 2000 Behavior of rapidly decreasing asymptotic solutions of linearized Navier-Stokes equations at \(t\to\infty\). Zbl 0929.35107 Shafarevich, A. I. 2 1994 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 Short-wave asymptotic solutions of a linearized system of relativistic gas dynamics. Zbl 1434.35083 Allilueva, A. I.; Shafarevich, A. I. 2 2019 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. 2 2020 Asymptotic solutions of a magnetohydrodynamic system which describe smoothed discontinuities. Zbl 1351.35121 Allilueva, Anna I.; Shafarevich, A. I. 2 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. 2 2021 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 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 Double asymptotic expansion of the resolving operator of the Cauchy problem for the linearized system of gas dynamics. Zbl 1444.76089 Allilueva, A. I.; Shafarevich, A. I. 2 2019 On asymptotic solutions of nonlinear equations in the presence of turning points. Zbl 1076.35028 Maslov, V. P.; Shafarevich, A. I. 1 2004 On the kernel of the Laplace operator on two-dimensional polyhedra. Zbl 1387.35125 Lukzen, E. N.; Shafarevich, A. I. 1 2017 Laminar wake in an arbitrary external stream. Zbl 0921.76051 Maslov, V. P.; Shafarevich, A. I. 1 1997 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 Asymptotic support of localized solutions of the linearized system of magnetohydrodynamics. Zbl 1359.76329 Allilueva, A. I.; Shafarevich, A. I. 1 2016 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 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 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 Lagrangian tori and quantization conditions corresponding to spectral series of the Laplace operator on a surface of revolution with conical points. Zbl 1440.35223 Shafarevich, A. I. 1 2019 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 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. 10 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. 2 2021 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. 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 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 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 Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics. Zbl 1412.35060 Allilueva, Anna I.; Shafarevich, Andrei I. 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 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 Short-wave asymptotic solutions of a linearized system of relativistic gas dynamics. Zbl 1434.35083 Allilueva, A. I.; Shafarevich, A. I. 2 2019 Double asymptotic expansion of the resolving operator of the Cauchy problem for the linearized system of gas dynamics. Zbl 1444.76089 Allilueva, A. I.; Shafarevich, A. I. 2 2019 Lagrangian tori and quantization conditions corresponding to spectral series of the Laplace operator on a surface of revolution with conical points. Zbl 1440.35223 Shafarevich, A. I. 1 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. 26 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. 7 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. 3 2017 On the kernel of the Laplace operator on two-dimensional polyhedra. Zbl 1387.35125 Lukzen, E. N.; Shafarevich, A. I. 1 2017 The Cauchy problem for the wave equation on homogeneous trees. Zbl 1364.35404 Tsvetkova, A. V.; Shafarevich, A. I. 6 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. 5 2016 Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold. Zbl 1345.53083 Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Shafarevich, A. I. 4 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. 15 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. 19 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. 3 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. 6 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. 7 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. 7 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 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 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. 48 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. 30 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. 2 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 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. 2 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 “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. 11 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. 9 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. 2 1994 Asymptotic solutions of linearized Navier-Stokes equations. Zbl 0816.76025 Dobrokhotov, S. Yu.; Shafarevich, A. I. 10 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. 25 1991 Quasiclassical scattering of wave packets on a narrow band in which the potential rapidly changes. Zbl 0689.35080 Shafarevich, A. I. 4 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 cited Publications top 5 cited Publications all top 5 Cited by 123 Authors 60 Shafarevich, Andreĭ Igorevich 50 Dobrokhotov, Sergei Yurievich 34 Nazaikinskii, Vladimir E. 24 Allilueva, Anna I. 24 Tolchennikov, Anton A. 16 Chernyshev, Vsevolod L. 15 Maslov, Viktor Pavlovich 14 Sergeev, Sergeĭ Alekseevich 13 Tirozzi, Brunello 13 Tsvetkova, Anna V. 10 Minenkov, Dmitrii S. 7 Anikin, A. Yu. 7 Vybornyi, E. V. 4 Fufaev, Vladimir V. 4 Karasev, Mikhail Vladimirovich 4 Klevin, A. I. 4 Lozhnikov, D. A. 3 Brandolese, Lorenzo 3 Cacciapuoti, Claudio 3 Fermi, Davide 3 Grushin, V. V. 3 Kucherenko, Valeri V. 3 Posilicano, Andrea 3 Rouleux, Michel 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 Khujakulov, J. R. 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 Rabinovich, Vladimir Samuilovich 2 Sobirov, Zarifboĭ Akhmedovich 2 Taĭmanov, Iskander Asanovich 2 Vargas, Carlos A. 2 Zhang, Jianlin 1 Abdullaev, Obidjon Khayrullayevich 1 Avendaño-Camacho, Misael 1 Belov, Vladimir Vasilyevich 1 Bianchi, Daniela 1 Bulatov, Vitaliĭ Vasil’evich 1 Chen, Alatancang 1 Drouot, Alexis 1 Fang, Hui 1 Fujiié, Setsuro 1 Gaydukov, R. K. 1 Gnutzmann, Sven 1 Goncharovskii, M. M. 1 Hilberdink, Titus W. 1 Hou, Guolin 1 Ifa, Abdelwaheb 1 Izosimov, Anton 1 Khesin, Boris A. 1 Kibkalo, Vladislav Aleksandrovich 1 Klimenko, M. V. 1 Kokotov, Aleksey 1 Korpusov, Maksim Olegovich 1 Kuznetsov, Sergey V. 1 Lagota, Kelvin A. 1 Lavrinenko, I. A. 1 Lemarié-Rieusset, Pierre Gilles 1 Levin, Sergei B. 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 Pyat’ko, D. V. 1 Ramírez de Arellano, Enrique 1 Ratiu, Tudor Stefan 1 Reis, Ednei 1 Reutskiy, Sergiy Yu 1 Roohian, Homaion 1 Rumyantseva, S. V. 1 Ruzmaikin, Alexander A. 1 Sakbaev, Vsevolod Zhanovich 1 Savin, Anton Yur’evich 1 Schafarevich, A. I. ...and 23 more Authors all top 5 Cited in 55 Serials 73 Russian Journal of Mathematical Physics 41 Mathematical Notes 16 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 Functional Analysis and its Applications 3 Journal of Differential Equations 2 Russian Mathematical Surveys 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Mathematical Sciences (New York) 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Differential Equations 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 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Moscow University Mathematics Bulletin 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 Moscow University Computational Mathematics and Cybernetics 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 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 Acta Mathematica Scientia. Series B. (English Edition) 1 Chebyshevskiĭ Sbornik 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Differential Equations and Applications 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Analysis and Mathematical Physics 1 Moscow Journal of Combinatorics and Number Theory 1 Journal of Applied Analysis and Computation 1 Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal all top 5 Cited in 38 Fields 137 Partial differential equations (35-XX) 79 Fluid mechanics (76-XX) 54 Quantum theory (81-XX) 26 Differential geometry (53-XX) 19 Dynamical systems and ergodic theory (37-XX) 14 Operator theory (47-XX) 10 Combinatorics (05-XX) 10 Ordinary differential equations (34-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Optics, electromagnetic theory (78-XX) 7 Geophysics (86-XX) 6 Number theory (11-XX) 6 Mechanics of particles and systems (70-XX) 5 Algebraic geometry (14-XX) 3 Special functions (33-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Numerical analysis (65-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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