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Author ID: babin.anatoli-v Recent zbMATH articles by "Babin, Anatoli V."
Published as: Babin, A. V.; Babin, A.; Babin, Anatoli; Babin, Anatoli V.
Further Spellings: Babin, Anatolii Vladimirovich; Бабин Анатолий Владимирович
Homepage: https://www.math.uci.edu/people/anatoli-babine
External Links: MGP · ResearchGate · Math-Net.Ru
all top 5

Serials

8 Russian Mathematical Surveys
8 Mathematics of the USSR, Sbornik
6 Functional Analysis and its Applications
6 Matematicheskiĭ Sbornik. Novaya Seriya
6 Soviet Mathematics. Doklady
4 Journal of Dynamics and Differential Equations
3 Communications in Mathematical Physics
3 Mathematical Notes
3 Uspekhi Matematicheskikh Nauk [N. S.]
3 Waves in Random Media
3 Funktsional’nyĭ Analiz i ego Prilozheniya
3 Journal of Differential Equations
2 Communications on Pure and Applied Mathematics
2 Moscow University Mathematics Bulletin
2 Theoretical and Computational Fluid Dynamics
2 Indiana University Mathematics Journal
2 Journal of Soviet Mathematics
2 Mathematics of the USSR. Izvestiya
2 European Journal of Mechanics. B. Fluids
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Russian Journal of Mathematical Physics
2 Discrete and Continuous Dynamical Systems
2 Foundations of Physics
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Nonlinearity
1 Reviews in Mathematical Physics
1 Siberian Mathematical Journal
1 Sibirskiĭ Matematicheskiĭ Zhurnal
1 Transactions of the American Mathematical Society
1 Applied Mathematics Letters
1 Asymptotic Analysis
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Annals of Physics
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 U.S.S.R. Computational Mathematics and Mathematical Physics
1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Matematicheskiĭ Sbornik
1 Russian Academy of Sciences. Izvestiya. Mathematics
1 Communications in Analysis and Geometry
1 Russian Academy of Sciences. Sbornik. Mathematics
1 Trudy Seminara Imeni I. G. Petrovskogo
1 Journal of Mathematical Sciences (New York)
1 Sbornik: Mathematics
1 Doklady Mathematics
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Communications on Pure and Applied Analysis
1 Waves in Random and Complex Media
1 Advances in Soviet Mathematics
1 Studies in Mathematics and its Applications
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1 Theoretical and Mathematical Physics (Cham)

Publications by Year

Citations contained in zbMATH Open

83 Publications have been cited 1,955 times in 1,445 Documents Cited by Year
Attractors of evolution equations. Transl. from the Russian by A. V. Babin. Zbl 0778.58002
Babin, A. V.; Vishik, M. I.
713
1992
Attractors of evolution equations. (Attraktory ehvolyutsionnykh uravnenij.) Zbl 0804.58003
Babin, A. V.; Vishik, M. I.
170
1989
Attractors of partial differential evolution equations in an unbounded domain. Zbl 0721.35029
Babin, A. V.; Vishik, M. I.
120
1990
Global regularity of \(3D\) rotating Navier-Stokes equations for resonant domains. Zbl 0932.35160
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
86
1999
Regular attractors of semigroups and evolution equations. Zbl 0565.47045
Babin, A. V.; Vishik, M. I.
83
1983
Attractors of partial differential evolution equations and estimates of their dimension. Zbl 0541.35038
Babin, A. V.; Vishik, M. I.
80
1983
Regularity and integrability of 3D Euler and Navier-Stokes equations for rotating fluids. Zbl 0890.35109
Babin, A.; Mahalov, A.; Nicolaenko, B.
71
1997
3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity. Zbl 1013.35065
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
57
2001
On the regularization mechanism for the periodic Korteweg-de Vries equation. Zbl 1284.35365
Babin, Anatoli V.; Ilyin, Alexei A.; Titi, Edriss S.
54
2011
Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids. Zbl 0882.76096
Babin, A.; Mahalov, A.; Nicolaenko, B.
49
1996
Exponential attractors of reaction-diffusion systems in an unbounded domain. Zbl 0846.35061
Babin, Anatoli; Nicolaenko, Basil
41
1995
The attractor of a Navier-Stokes system in an unbounded channel-like domain. Zbl 0762.35082
Babin, A. V.
27
1992
On the regularity of three-dimensional rotating Euler-Boussinesq equations. Zbl 1035.76055
Babin, A.; Mahalov, A.; Nicolaenko, B.
22
1999
On the asymptotic regimes and the strongly stratified limit of rotating Boussinesq equations. Zbl 0912.76092
Babin, A.; Mahalov, A.; Nicolaenko, B.; Zhou, Y.
22
1997
Global regularity of 3D rotating Navier-Stokes equations for resonant domains. Zbl 0963.76020
Babin, A.; Mahalov, A.; Nicolaenko, B.
18
2000
Continuous dependence of attractors on the shape of domain. Zbl 0927.37012
Babin, A. V.; Pilyugin, S. Yu.
17
1995
Maximal attractors of semigroups corresponding to evolution differential equations. Zbl 0611.35033
Babin, A. V.; Vishik, M. I.
16
1986
Attractor of the generalized semigroup generated by an elliptical equation in a cylindrical domain. Zbl 0839.35036
Babin, A. V.
16
1994
Long-time averaged Euler and Navier-Stokes equations for rotating fluids. Zbl 0872.76097
Babin, A.; Mahalov, A.; Nicolaenko, B.
15
1995
On nonlinear baroclinic waves and adjustment of pancake dynamics. Zbl 0957.76092
Babin, A.; Mahalov, A.; Nicolaenko, B.
14
1998
Unstable invariant sets of semigroups of non-linear operators and their perturbations. Zbl 0624.47065
Babin, A. V.; Vishik, M. I.
12
1986
Uniform finite-parameter asymptotics of solutions of nonlinear evolution equations. Zbl 0765.35023
Babin, A. V.; Vishik, M. I.
12
1991
Strongly stratified limit of 3D primitive equations in an infinite layer. Zbl 1001.76030
Babin, A.; Mahalov, A.; Nicolaenko, B.
11
2001
Global splitting and regularity of rotating shallow-water equations. Zbl 0889.76007
Babin, A.; Mahalov, A.; Nicolaenko, B.
11
1997
Some mathematical problems in a neoclassical theory of electric charges. Zbl 1213.35378
Babin, Anatoli; Figotin, Alexander
10
2010
Attractors of non-autonomous parabolic equations and their symmetry properties. Zbl 0945.35017
Babin, Anatoli V.; Sell, George R.
10
2000
Fast singular oscillating limits and global regularity for the 3D primitive equations of geophysics. Zbl 0962.76020
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
10
2000
Symmetrization properties of parabolic equations in symmetric domains. Zbl 0807.35065
Babin, Anatoli V.
10
1994
Attracteurs maximaux dans les équations aux dérivées partielles. (Maximal attractors for partial differential equations). Zbl 0575.35005
Babin, A. V.; Vishik, M. I.
9
1985
Symmetry of instabilities for scalar equations in symmetric domains. Zbl 0852.35069
Babin, Anatoli V.
9
1995
Linear superposition in nonlinear wave dynamics. Zbl 1120.82010
Babin, A.; Figotin, A.
9
2006
Construction and investigation of solutions of differential equations by methods of approximation theory for functions. Zbl 0542.35038
Babin, A. V.
7
1984
Attractors of Navier-Stokes systems and of parabolic equations, and estimates for their dimensions. Zbl 0562.35067
Babin, A. V.; Vishik, M. I.
7
1985
Nonlinear photonic crystals. IV: Nonlinear Schrödinger equation regime. Zbl 1189.78005
Babin, A.; Figotin, A.
7
2005
Inertial manifolds for travelling-wave solutions of reaction-diffusion systems. Zbl 0831.35051
Babin, Anatoli V.
7
1995
Wave-corpuscle mechanics for electric charges. Zbl 1194.82066
Babin, Anatoli; Figotin, Alexander
7
2010
Attractors of Navier-Stokes equations. Zbl 1054.76016
Babin, A. V.
6
2003
Nonlinear photonic crystals. I: Quadratic nonlinearity. Zbl 1054.78024
Babin, A.; Figotin, A.
6
2001
Resonances and regularity for Boussinesq equations. Zbl 0955.76521
Babin, Anatoli V.; Mahalov, Alex; Nicolaenko, Basil
6
1996
Fast singular oscillating limits of stably-stratified 3D Euler and Navier-Stokes equations and ageostrophic wave fronts. Zbl 1109.76310
Babin, A.; Mahalov, A.; Nicolaenko, B.
6
2002
Uniform finite-parameter asymptotics of solutions of nonlinear evolutionary equations. Zbl 0717.35009
Babin, A. V.; Vishik, M. I.
5
1989
Nonlinear Maxwell equations in inhomogeneous media. Zbl 1098.78002
Babin, Anatoli; Figotin, Alexander
5
2003
Spatial chaotic structure of attractors of reaction-diffusion systems. Zbl 0864.35053
Afraimovich, V.; Babin, A.; Chow, S.-N.
5
1996
Relativistic dynamics of accelerating particles derived from field equations. Zbl 1262.81043
Babin, Anatoli; Figotin, Alexander
4
2012
Electrodynamics of balanced charges. Zbl 1209.81122
Babin, Anatoli; Figotin, Alexander
4
2011
Wavepacket preservation under nonlinear evolution. Zbl 1157.35063
Babin, A.; Figotin, A.
4
2008
Multilinear spectral decomposition for nonlinear Maxwell equations. Zbl 1092.78014
Babin, A.; Figotin, A.
4
2002
Regularity and integrability of rotating shallow-water equations. Zbl 0883.76014
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
4
1997
Global attractors in PDE. Zbl 1130.37339
Babin, A. V.
4
2006
Relativistic point dynamics and Einstein formula as a property of localized solutions of a nonlinear Klein-Gordon equation. Zbl 1272.83010
Babin, Anatoli; Figotin, Alexander
4
2013
Attractors of Navier-Stokes system and parabolic equations and an estimate of their dimension. Zbl 0507.35076
Babin, A. V.; Vishik, M. I.
3
1982
Nonlinear photonic crystals. II: Interaction classification for quadratic nonlinearities. Zbl 1114.78354
Babin, Anatoli; Figotin, Alexander
3
2002
Nonlinear photonic crystals. III: Cubic nonlinearity. Zbl 1114.78355
Babin, Anatoli; Figotin, Alexander
3
2003
Finite dimensionality of the kernel and cokernel of quasilinear elliptic mappings. Zbl 0304.47057
Babin, A. V.
3
1975
Polynomial solvability of differential equations with coefficients from classes of infinitely differentiable functions. Zbl 0554.35049
Babin, A. V.
2
1984
On the solvability in the large of nonlinear parabolic boundary value problems. Zbl 0323.35048
Babin, A. V.
2
1975
Existence and estimation of the dimension of attractors of quasilinear parabolic equations and Navier-Stokes system. Zbl 0507.35075
Babin, A. V.; Vishik, M. I.
2
1982
Attractors of quasilinear parabolic equations. Zbl 0511.35046
Babin, A. V.; Vishik, M. I.
2
1982
Topological invariants and solutions with a high complexity for scalar semilinear PDE. Zbl 0984.35081
Babin, A. V.
2
2000
Nonlinear dynamics of a system of particle-like wavepackets. Zbl 1260.35176
Babin, Anatoli; Figotin, Alexander
2
2008
On regularity of solutions of 3D Navier-Stokes equations. Zbl 1022.76010
Avrin, J.; Babin, A.; Mahalov, A.; Nicolaenko, B.
2
1999
Stable chaotic waves generated by hyperbolic PDEs. Zbl 0899.35061
Babin, A. V.; Bunimovich, L. A.
2
1996
Neoclassical theory of electromagnetic interactions. A single theory for macroscopic and microscopic scales. Zbl 1486.78001
Babin, Anatoli; Figotin, Alexander
1
2016
Attractors of parabolic and hyperbolic equations, the nature of their compactness and attraction. Zbl 0667.35004
Babin, A. V.; Vishik, M. I.
1
1988
Spectral and stabilized asymptotic behaviour of solutions of nonlinear evolution equations. Zbl 0677.35007
Babin, A. V.; Vishik, M. I.
1
1988
Variation of the instability index on stationary curves of elliptic equations depending on a parameter. Zbl 0689.35005
Babin, A. V.; Vishik, M. I.
1
1989
Solution of the Cauchy problem by means of weighted approximations of exponents by polynomials. Zbl 0556.35009
Babin, A. V.
1
1983
Upper and lower estimates for the dimension of attractors of partial differential evolution equations. Zbl 0576.35056
Babin, A. V.; Vishik, M. I.
1
1983
Asymptotic behavior of steady-state flows inside a pipe as \(| x| \to \infty\). Zbl 0815.76023
Babin, A. V.
1
1993
On the expression of a solution of the equation Au=h in terms of iterations of the unbounded operator A, and the weighted approximation of functions. Zbl 0437.41019
Babin, A. V.
1
1979
Newton’s law for a trajectory of concentration of solutions to nonlinear Schrödinger equation. Zbl 1304.35631
Babin, Anatoli; Figotin, Alexander
1
2014
Infinitely spatially complex solutions of PDE and their homotopy complexity. Zbl 0994.35048
Afraimovich, V.; Babin, A.; Chow, S.-N.
1
2001
Uniform long-time behavior of solutions of parabolic equations depending on slow time. Zbl 0915.35050
Babin, Anatoli V.; Chow, Shui-Nee
1
1998
An expression for the solution of a differential equation in terms of iterates of differential operators. Zbl 0442.35056
Babin, A. V.
1
1978
Asymptotic expansion at infinity of a strongly perturbed Poiseuille flow. Zbl 0768.76012
Babin, A. V.
1
1992
Integrability and regularity of 3D Euler and equations for uniformly rotating fluids. Zbl 0867.76012
Babin, A.; Mahalov, A.; Nicolaenko, B.
1
1996
Dynamics of spatially chaotic solutions of parabolic equations. Zbl 0874.35046
Babin, A. V.
1
1995
Homotopy stable spatially chaotic waves on an infinite interval. Zbl 0877.35078
Babin, A. V.
1
1995
On space-chaotic solutions to scalar parabolic equations with modulated nonlinearities. Zbl 0907.35005
Babin, Anatoli V.
1
1995
Continuous dependence of attractors on the shape of domain. Zbl 0885.58042
Babin, A. V.; Pilyugin, S. Yu.
1
1995
Asymptotic behavior for \(| x| \to \infty\) of functions situated on the attractor of a two-dimensional Navier-Stokes system in an unbounded plane domain. Zbl 0753.35064
Babin, A. V.
1
1991
Iterations of differential operators. Transl. from the Russian by H. Zahavi. Zbl 0758.35014
Babin, A. V.
1
1989
Properties of global attractors of partial differential equations. Zbl 0746.00021
1
1992
Neoclassical theory of electromagnetic interactions. A single theory for macroscopic and microscopic scales. Zbl 1486.78001
Babin, Anatoli; Figotin, Alexander
1
2016
Newton’s law for a trajectory of concentration of solutions to nonlinear Schrödinger equation. Zbl 1304.35631
Babin, Anatoli; Figotin, Alexander
1
2014
Relativistic point dynamics and Einstein formula as a property of localized solutions of a nonlinear Klein-Gordon equation. Zbl 1272.83010
Babin, Anatoli; Figotin, Alexander
4
2013
Relativistic dynamics of accelerating particles derived from field equations. Zbl 1262.81043
Babin, Anatoli; Figotin, Alexander
4
2012
On the regularization mechanism for the periodic Korteweg-de Vries equation. Zbl 1284.35365
Babin, Anatoli V.; Ilyin, Alexei A.; Titi, Edriss S.
54
2011
Electrodynamics of balanced charges. Zbl 1209.81122
Babin, Anatoli; Figotin, Alexander
4
2011
Some mathematical problems in a neoclassical theory of electric charges. Zbl 1213.35378
Babin, Anatoli; Figotin, Alexander
10
2010
Wave-corpuscle mechanics for electric charges. Zbl 1194.82066
Babin, Anatoli; Figotin, Alexander
7
2010
Wavepacket preservation under nonlinear evolution. Zbl 1157.35063
Babin, A.; Figotin, A.
4
2008
Nonlinear dynamics of a system of particle-like wavepackets. Zbl 1260.35176
Babin, Anatoli; Figotin, Alexander
2
2008
Linear superposition in nonlinear wave dynamics. Zbl 1120.82010
Babin, A.; Figotin, A.
9
2006
Global attractors in PDE. Zbl 1130.37339
Babin, A. V.
4
2006
Nonlinear photonic crystals. IV: Nonlinear Schrödinger equation regime. Zbl 1189.78005
Babin, A.; Figotin, A.
7
2005
Attractors of Navier-Stokes equations. Zbl 1054.76016
Babin, A. V.
6
2003
Nonlinear Maxwell equations in inhomogeneous media. Zbl 1098.78002
Babin, Anatoli; Figotin, Alexander
5
2003
Nonlinear photonic crystals. III: Cubic nonlinearity. Zbl 1114.78355
Babin, Anatoli; Figotin, Alexander
3
2003
Fast singular oscillating limits of stably-stratified 3D Euler and Navier-Stokes equations and ageostrophic wave fronts. Zbl 1109.76310
Babin, A.; Mahalov, A.; Nicolaenko, B.
6
2002
Multilinear spectral decomposition for nonlinear Maxwell equations. Zbl 1092.78014
Babin, A.; Figotin, A.
4
2002
Nonlinear photonic crystals. II: Interaction classification for quadratic nonlinearities. Zbl 1114.78354
Babin, Anatoli; Figotin, Alexander
3
2002
3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity. Zbl 1013.35065
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
57
2001
Strongly stratified limit of 3D primitive equations in an infinite layer. Zbl 1001.76030
Babin, A.; Mahalov, A.; Nicolaenko, B.
11
2001
Nonlinear photonic crystals. I: Quadratic nonlinearity. Zbl 1054.78024
Babin, A.; Figotin, A.
6
2001
Infinitely spatially complex solutions of PDE and their homotopy complexity. Zbl 0994.35048
Afraimovich, V.; Babin, A.; Chow, S.-N.
1
2001
Global regularity of 3D rotating Navier-Stokes equations for resonant domains. Zbl 0963.76020
Babin, A.; Mahalov, A.; Nicolaenko, B.
18
2000
Attractors of non-autonomous parabolic equations and their symmetry properties. Zbl 0945.35017
Babin, Anatoli V.; Sell, George R.
10
2000
Fast singular oscillating limits and global regularity for the 3D primitive equations of geophysics. Zbl 0962.76020
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
10
2000
Topological invariants and solutions with a high complexity for scalar semilinear PDE. Zbl 0984.35081
Babin, A. V.
2
2000
Global regularity of \(3D\) rotating Navier-Stokes equations for resonant domains. Zbl 0932.35160
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
86
1999
On the regularity of three-dimensional rotating Euler-Boussinesq equations. Zbl 1035.76055
Babin, A.; Mahalov, A.; Nicolaenko, B.
22
1999
On regularity of solutions of 3D Navier-Stokes equations. Zbl 1022.76010
Avrin, J.; Babin, A.; Mahalov, A.; Nicolaenko, B.
2
1999
On nonlinear baroclinic waves and adjustment of pancake dynamics. Zbl 0957.76092
Babin, A.; Mahalov, A.; Nicolaenko, B.
14
1998
Uniform long-time behavior of solutions of parabolic equations depending on slow time. Zbl 0915.35050
Babin, Anatoli V.; Chow, Shui-Nee
1
1998
Regularity and integrability of 3D Euler and Navier-Stokes equations for rotating fluids. Zbl 0890.35109
Babin, A.; Mahalov, A.; Nicolaenko, B.
71
1997
On the asymptotic regimes and the strongly stratified limit of rotating Boussinesq equations. Zbl 0912.76092
Babin, A.; Mahalov, A.; Nicolaenko, B.; Zhou, Y.
22
1997
Global splitting and regularity of rotating shallow-water equations. Zbl 0889.76007
Babin, A.; Mahalov, A.; Nicolaenko, B.
11
1997
Regularity and integrability of rotating shallow-water equations. Zbl 0883.76014
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
4
1997
Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids. Zbl 0882.76096
Babin, A.; Mahalov, A.; Nicolaenko, B.
49
1996
Resonances and regularity for Boussinesq equations. Zbl 0955.76521
Babin, Anatoli V.; Mahalov, Alex; Nicolaenko, Basil
6
1996
Spatial chaotic structure of attractors of reaction-diffusion systems. Zbl 0864.35053
Afraimovich, V.; Babin, A.; Chow, S.-N.
5
1996
Stable chaotic waves generated by hyperbolic PDEs. Zbl 0899.35061
Babin, A. V.; Bunimovich, L. A.
2
1996
Integrability and regularity of 3D Euler and equations for uniformly rotating fluids. Zbl 0867.76012
Babin, A.; Mahalov, A.; Nicolaenko, B.
1
1996
Exponential attractors of reaction-diffusion systems in an unbounded domain. Zbl 0846.35061
Babin, Anatoli; Nicolaenko, Basil
41
1995
Continuous dependence of attractors on the shape of domain. Zbl 0927.37012
Babin, A. V.; Pilyugin, S. Yu.
17
1995
Long-time averaged Euler and Navier-Stokes equations for rotating fluids. Zbl 0872.76097
Babin, A.; Mahalov, A.; Nicolaenko, B.
15
1995
Symmetry of instabilities for scalar equations in symmetric domains. Zbl 0852.35069
Babin, Anatoli V.
9
1995
Inertial manifolds for travelling-wave solutions of reaction-diffusion systems. Zbl 0831.35051
Babin, Anatoli V.
7
1995
Dynamics of spatially chaotic solutions of parabolic equations. Zbl 0874.35046
Babin, A. V.
1
1995
Homotopy stable spatially chaotic waves on an infinite interval. Zbl 0877.35078
Babin, A. V.
1
1995
On space-chaotic solutions to scalar parabolic equations with modulated nonlinearities. Zbl 0907.35005
Babin, Anatoli V.
1
1995
Continuous dependence of attractors on the shape of domain. Zbl 0885.58042
Babin, A. V.; Pilyugin, S. Yu.
1
1995
Attractor of the generalized semigroup generated by an elliptical equation in a cylindrical domain. Zbl 0839.35036
Babin, A. V.
16
1994
Symmetrization properties of parabolic equations in symmetric domains. Zbl 0807.35065
Babin, Anatoli V.
10
1994
Asymptotic behavior of steady-state flows inside a pipe as \(| x| \to \infty\). Zbl 0815.76023
Babin, A. V.
1
1993
Attractors of evolution equations. Transl. from the Russian by A. V. Babin. Zbl 0778.58002
Babin, A. V.; Vishik, M. I.
713
1992
The attractor of a Navier-Stokes system in an unbounded channel-like domain. Zbl 0762.35082
Babin, A. V.
27
1992
Asymptotic expansion at infinity of a strongly perturbed Poiseuille flow. Zbl 0768.76012
Babin, A. V.
1
1992
Properties of global attractors of partial differential equations. Zbl 0746.00021
1
1992
Uniform finite-parameter asymptotics of solutions of nonlinear evolution equations. Zbl 0765.35023
Babin, A. V.; Vishik, M. I.
12
1991
Asymptotic behavior for \(| x| \to \infty\) of functions situated on the attractor of a two-dimensional Navier-Stokes system in an unbounded plane domain. Zbl 0753.35064
Babin, A. V.
1
1991
Attractors of partial differential evolution equations in an unbounded domain. Zbl 0721.35029
Babin, A. V.; Vishik, M. I.
120
1990
Attractors of evolution equations. (Attraktory ehvolyutsionnykh uravnenij.) Zbl 0804.58003
Babin, A. V.; Vishik, M. I.
170
1989
Uniform finite-parameter asymptotics of solutions of nonlinear evolutionary equations. Zbl 0717.35009
Babin, A. V.; Vishik, M. I.
5
1989
Variation of the instability index on stationary curves of elliptic equations depending on a parameter. Zbl 0689.35005
Babin, A. V.; Vishik, M. I.
1
1989
Iterations of differential operators. Transl. from the Russian by H. Zahavi. Zbl 0758.35014
Babin, A. V.
1
1989
Attractors of parabolic and hyperbolic equations, the nature of their compactness and attraction. Zbl 0667.35004
Babin, A. V.; Vishik, M. I.
1
1988
Spectral and stabilized asymptotic behaviour of solutions of nonlinear evolution equations. Zbl 0677.35007
Babin, A. V.; Vishik, M. I.
1
1988
Maximal attractors of semigroups corresponding to evolution differential equations. Zbl 0611.35033
Babin, A. V.; Vishik, M. I.
16
1986
Unstable invariant sets of semigroups of non-linear operators and their perturbations. Zbl 0624.47065
Babin, A. V.; Vishik, M. I.
12
1986
Attracteurs maximaux dans les équations aux dérivées partielles. (Maximal attractors for partial differential equations). Zbl 0575.35005
Babin, A. V.; Vishik, M. I.
9
1985
Attractors of Navier-Stokes systems and of parabolic equations, and estimates for their dimensions. Zbl 0562.35067
Babin, A. V.; Vishik, M. I.
7
1985
Construction and investigation of solutions of differential equations by methods of approximation theory for functions. Zbl 0542.35038
Babin, A. V.
7
1984
Polynomial solvability of differential equations with coefficients from classes of infinitely differentiable functions. Zbl 0554.35049
Babin, A. V.
2
1984
Regular attractors of semigroups and evolution equations. Zbl 0565.47045
Babin, A. V.; Vishik, M. I.
83
1983
Attractors of partial differential evolution equations and estimates of their dimension. Zbl 0541.35038
Babin, A. V.; Vishik, M. I.
80
1983
Solution of the Cauchy problem by means of weighted approximations of exponents by polynomials. Zbl 0556.35009
Babin, A. V.
1
1983
Upper and lower estimates for the dimension of attractors of partial differential evolution equations. Zbl 0576.35056
Babin, A. V.; Vishik, M. I.
1
1983
Attractors of Navier-Stokes system and parabolic equations and an estimate of their dimension. Zbl 0507.35076
Babin, A. V.; Vishik, M. I.
3
1982
Existence and estimation of the dimension of attractors of quasilinear parabolic equations and Navier-Stokes system. Zbl 0507.35075
Babin, A. V.; Vishik, M. I.
2
1982
Attractors of quasilinear parabolic equations. Zbl 0511.35046
Babin, A. V.; Vishik, M. I.
2
1982
On the expression of a solution of the equation Au=h in terms of iterations of the unbounded operator A, and the weighted approximation of functions. Zbl 0437.41019
Babin, A. V.
1
1979
An expression for the solution of a differential equation in terms of iterates of differential operators. Zbl 0442.35056
Babin, A. V.
1
1978
Finite dimensionality of the kernel and cokernel of quasilinear elliptic mappings. Zbl 0304.47057
Babin, A. V.
3
1975
On the solvability in the large of nonlinear parabolic boundary value problems. Zbl 0323.35048
Babin, A. V.
2
1975
all top 5

Cited by 1,142 Authors

58 Zelik, Sergey V.
38 Chepyzhov, Vladimir V.
36 Wang, Bixiang
32 Babin, Anatoli V.
32 Miranville, Alain M.
31 Nolasco de Carvalho, Alexandre
31 Zhong, Chengkui
29 Chueshov, Igor’ Dmitrievich
29 Langa, Jose’ Antonio
26 Caraballo Garrido, Tomás
24 Sun, Chunyou
24 Vishik, Marko Iosifovich
23 Valero, José
23 Yang, Zhijian
21 Guo, Boling
21 Ilyin, Aleksei A.
21 Zhou, Shengfan
19 Pata, Vittorino
18 Freitas, Mirelson M.
17 Kalantarov, Varga K.
16 Kostianko, Anna
16 Robinson, James Cooper
16 Xie, Yongqin
15 Lasiecka, Irena
15 Ramos, Anderson J. A.
15 Titi, Edriss Saleh
14 Fiedler, Bernold
14 Hale, Jack Kenneth
14 Kapustyan, Oleksiy V.
14 Kasyanov, Pavlo O.
14 Ma, To Fu
14 Rocha, Carlos
14 Temam, Roger Meyer
13 Cholewa, Jan W.
13 Conti, Monica C.
13 Mahalov, Alex
13 Qin, Yuming
13 Raugel, Geneviève
12 Arrieta, José M.
12 Efendiev, Messoud
12 Meng, Fengjuan
12 Rodríguez-Bernal, Aníbal
12 Yang, Meihua
12 Zhu, Kaixuan
11 Duan, Jinqiao
11 Lu, Kening
11 Rezunenko, Oleksandr V”yacheslavovych
11 Shirikyan, Armen R.
11 Takada, Ryo
11 Zhao, Caidi
10 Chechkin, Gregory Aleksandrovich
10 Ding, Pengyan
10 Feireisl, Eduard
10 Figotin, Alexander
10 Kloeden, Peter Eris
9 Bekmaganbetov, Kuanysh Abdrakhmanovich
9 Gallagher, Isabelle
9 Jorge da Silva, Marcio Antonio
9 Khanmamedov, Azer Kh.
9 Li, Xiaojun
9 Li, Yongsheng
9 Liu, Cuncai
9 Nicolaenko, Basil
9 Oh, Tadahiro
9 Yoneda, Tsuyoshi
8 Bezerra, Flank David Morais
8 Charve, Frédéric
8 Dlotko, Tomasz W.
8 Feng, Baowei
8 Grasselli, Maurizio
8 Ma, Qiaozhen
8 Narciso, Vando
8 Schmalfuß, Björn
8 Yue, Gaocheng
8 Zgurovsky, Mikhail Z.
7 Bonfoh, Ahmed S.
7 Kalita, Piotr
7 Komech, Alexander Ilich
7 Marín-Rubio, Pedro
7 Nascimento, Marcelo Jose Dias
7 Nersesyan, Vahagn
7 Santos, Mauro Lima
7 Webster, Justin T.
7 You, Yuncheng
6 Bartuccelli, Michele V.
6 Belan, E. P.
6 Bortolan, Matheus Cheque
6 Dai, Zhengde
6 Gal, Ciprian Gheorghe Sorin
6 Gatti, Stefania
6 Giorgi, Claudio
6 Gorban, Nataliia V.
6 Hieber, Matthias
6 Hou, Yanren
6 Li, Yanan
6 Liu, Tingting
6 Ma, Shan
6 Niu, Weisheng
6 Pires, Leonardo
6 Poláčik, Peter
...and 1,042 more Authors
all top 5

Cited in 248 Serials

125 Journal of Differential Equations
82 Journal of Mathematical Analysis and Applications
76 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
58 Discrete and Continuous Dynamical Systems. Series B
56 Journal of Dynamics and Differential Equations
39 Discrete and Continuous Dynamical Systems
36 Communications on Pure and Applied Analysis
31 Journal of Mathematical Physics
30 Physica D
25 Mathematical Notes
25 Nonlinear Analysis. Real World Applications
23 Applied Mathematics and Optimization
21 Journal of Mathematical Sciences (New York)
20 Applicable Analysis
18 Journal de Mathématiques Pures et Appliquées. Neuvième Série
17 Communications in Mathematical Physics
17 Communications in Partial Differential Equations
17 Journal of Mathematical Fluid Mechanics
16 Nonlinear Analysis. Theory, Methods & Applications
15 Journal of Fluid Mechanics
15 Applied Mathematics Letters
15 Journal of Evolution Equations
14 Transactions of the American Mathematical Society
14 Doklady Mathematics
13 Journal of Soviet Mathematics
13 Acta Mathematicae Applicatae Sinica. English Series
12 Applied Mathematics and Computation
12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
12 Evolution Equations and Control Theory
11 Archive for Rational Mechanics and Analysis
11 Communications on Pure and Applied Mathematics
11 Mathematical Methods in the Applied Sciences
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Boundary Value Problems
9 Computers & Mathematics with Applications
9 Nonlinearity
9 Journal of Functional Analysis
9 Applied Mathematics and Mechanics. (English Edition)
9 Asymptotic Analysis
9 Abstract and Applied Analysis
8 Ukrainian Mathematical Journal
8 SIAM Journal on Mathematical Analysis
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Journal of Nonlinear Science
7 Acta Mathematica Sinica. English Series
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Stochastics and Dynamics
7 Discrete and Continuous Dynamical Systems. Series S
6 Russian Mathematical Surveys
6 Mathematische Annalen
6 Quarterly of Applied Mathematics
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Differential Equations
5 Chaos, Solitons and Fractals
5 Mathematische Nachrichten
5 Numerical Functional Analysis and Optimization
5 Siberian Mathematical Journal
5 Acta Applicandae Mathematicae
5 Topological Methods in Nonlinear Analysis
5 Physics of Fluids
5 Journal of Difference Equations and Applications
5 AIMS Mathematics
4 Journal of Computational and Applied Mathematics
4 Numerische Mathematik
4 Proceedings of the American Mathematical Society
4 Stochastic Analysis and Applications
4 Revista Matemática Iberoamericana
4 Applications of Mathematics
4 Cybernetics and Systems Analysis
4 NoDEA. Nonlinear Differential Equations and Applications
4 Dynamical Systems
4 Central European Journal of Mathematics
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of Statistical Physics
3 Theoretical and Mathematical Physics
3 Czechoslovak Mathematical Journal
3 Functional Analysis and its Applications
3 Indiana University Mathematics Journal
3 Journal of the Mathematical Society of Japan
3 Zeitschrift für Analysis und ihre Anwendungen
3 Chinese Annals of Mathematics. Series B
3 Applied Numerical Mathematics
3 Annals of Physics
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Russian Journal of Mathematical Physics
3 Electronic Journal of Differential Equations (EJDE)
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Dynamical and Control Systems
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Milan Journal of Mathematics
3 SIAM Journal on Applied Dynamical Systems
3 Advances in Difference Equations
3 Foundations of Physics
3 Set-Valued and Variational Analysis
3 Journal de l’École Polytechnique – Mathématiques
3 Applied Mathematics and Nonlinear Sciences
...and 148 more Serials
all top 5

Cited in 42 Fields

1,254 Partial differential equations (35-XX)
503 Dynamical systems and ergodic theory (37-XX)
332 Fluid mechanics (76-XX)
104 Ordinary differential equations (34-XX)
97 Mechanics of deformable solids (74-XX)
71 Probability theory and stochastic processes (60-XX)
62 Geophysics (86-XX)
57 Operator theory (47-XX)
30 Numerical analysis (65-XX)
29 Global analysis, analysis on manifolds (58-XX)
28 Optics, electromagnetic theory (78-XX)
26 Systems theory; control (93-XX)
25 Biology and other natural sciences (92-XX)
20 Statistical mechanics, structure of matter (82-XX)
19 Classical thermodynamics, heat transfer (80-XX)
15 Integral equations (45-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
14 Functional analysis (46-XX)
14 Quantum theory (81-XX)
13 Measure and integration (28-XX)
11 Mechanics of particles and systems (70-XX)
10 Real functions (26-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 General topology (54-XX)
5 Approximations and expansions (41-XX)
4 Combinatorics (05-XX)
4 Difference and functional equations (39-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Special functions (33-XX)
2 Differential geometry (53-XX)
2 Manifolds and cell complexes (57-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Integral transforms, operational calculus (44-XX)
1 Statistics (62-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

Citations by Year