## Vishik, Marko Iosifovich

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 Author ID: vishik.marko-iosifovich Published as: Vishik, M. I.; Vishik, Mark I.; Vishik, Mark; Vishik, Mark Iosifovich; Višik, Mark Iosifovich; Vishik, Marko I.; Visik, M. J.; Višik, M. J.; Višik, M. L.; Visik, M. more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 287 Publications since 1947, including 7 Books 1 Contribution as Editor Biographic References: 13 Publications Co-Authors: 124 Co-Authors with 229 Joint Publications 3,851 Co-Co-Authors
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### Fields

 178 Partial differential equations (35-XX) 45 Dynamical systems and ergodic theory (37-XX) 33 Fluid mechanics (76-XX) 28 History and biography (01-XX) 28 Operator theory (47-XX) 17 Global analysis, analysis on manifolds (58-XX) 17 Probability theory and stochastic processes (60-XX) 9 Ordinary differential equations (34-XX) 6 General topology (54-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

149 Publications have been cited 3,575 times in 2,462 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.
1992
Attractors for equations of mathematical physics. Zbl 0986.35001
Chepyzhov, V. V.; Vishik, M. I.
2002
Regular degeneration and boundary layer for linear differential equations with small parameter. (Reguläre Ausartung und Grenzschicht für lineare Differentialgleichungen mit einem kleinen Parameter.) Zbl 0087.29602
Vishik, M. I.; Lyusternik, L. A.
1957
Elliptic problems with a parameter and parabolic problems of general type. Zbl 0137.29602
Agranovich, M. S.; Vishik, M. I.
1964
Attractors of evolution equations. (Attraktory ehvolyutsionnykh uravnenij.) Zbl 0804.58003
Babin, A. V.; Vishik, M. I.
1989
Attractors of partial differential evolution equations in an unbounded domain. Zbl 0721.35029
Babin, A. V.; Vishik, M. I.
1990
Evolution equations and their trajectory attractors. Zbl 0896.35032
Chepyzhov, Vladimir V.; Vishik, Mark I.
1997
Attractors of non-autonomous dynamical systems and their dimension. Zbl 0838.58021
Chepyzhov, V. V.; Vishik, M. I.
1994
Mathematical problems of statistical hydromechanics. Transl. from the Russian by D. A. Leites. Zbl 0688.35077
Vishik, M. I.; Fursikov, A. V.
1988
Regular degeneration and boundary layer for linear differential equations with small parameter. Zbl 0122.32402
Vishik, M. I.; Lyusternik, L. A.
1962
Regular attractors of semigroups and evolution equations. Zbl 0565.47045
Babin, A. V.; Vishik, M. I.
1983
Attractors of partial differential evolution equations and estimates of their dimension. Zbl 0541.35038
Babin, A. V.; Vishik, M. I.
1983
Trajectory and global attractors of the three-dimensional Navier-Stokes system. Zbl 1130.37404
Vishik, M. I.; Chepyzhov, V. V.
2002
The solution of some perturbation problems for matrices and selfadjoint differential equations. I. Zbl 0096.08702
Vishik, M. I.; Lyusternik, L. A.
1960
On general boundary problems for elliptic differential equations. Translated by V. I. Filippenko. Zbl 0131.32301
Vishik, M. I.
1963
Mathematical problems of statistical hydromechanics. (Matematicheskie zadachi statisticheskoj gidromekhaniki). Zbl 0643.35005
Vishik, M. I.; Fursikov, A. V.
1980
Asymptotic behaviour of solutions of evolutionary equations. Zbl 0797.35016
Vishik, M. I.
1992
Averaging of trajectory attractors of evolution equations with rapidly oscillating terms. Zbl 1011.35104
Vishik, M. I.; Chepyzhov, V. V.
2001
Trajectory attractors for reaction-diffusion systems. Zbl 0894.35010
Chepyzhov, Vladimir V.; Vishik, Mark I.
1996
Averaging of 2D Navier-Stokes equations with singularly oscillating forces. Zbl 1170.35345
Chepyzhov, V. V.; Pata, V.; Vishik, M. I.
2009
Some mathematical problems of statistical hydromechanics. Zbl 0503.76045
Vishik, M. I.; Komech, A. I.; Fursikov, A. V.
1979
On the convergence of solutions of the Leray-$$\alpha$$ model to the trajectory attractor of the 3D Navier-Stokes system. Zbl 1146.35071
Chepyzhov, Vladimir V.; Titi, Edriss S.; Vishik, Mark I.
2007
Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002
Arnol’d, V. I.; Vishik, M. I.; Il’yashenko, Yu. S.; Kalashnikov, A. S.; Kondrat’ev, V. A.; Kruzhkov, S. N.; Landis, E. M.; Millionshchikov, V. M.; Oleĭnik, O. A.; Filippov, A. F.; Shubin, M. A.
1989
On non-autonomous sine-Gordon type equations with a simple global attractor and some averaging. Zbl 1067.35017
Chepyzhov, V. V.; Vishik, M. I.; Wendland, W. L.
2005
On convergence of trajectory attractors of the 3D Navier-Stokes-$$\alpha$$ model as $$\alpha$$ approaches 0. Zbl 1137.37037
Vishik, M. I.; Titi, E. S.; Chepyzhov, V. V.
2007
Strong trajectory attractors for dissipative Euler equations. Zbl 1230.35092
Chepyzhov, V. V.; Vishik, M. I.; Zelik, S. V.
2011
Equations in convolutions in a bounded region. Zbl 0152.34202
Vishik, M. I.; Èskin, G. I.
1965
Non-autonomous 2D Navier-Stokes system with singularly oscillating external force and its global attractor. Zbl 1132.35017
Chepyzhov, V. V.; Vishik, M. I.
2007
Trajectory attractors for evolution equations. Zbl 0843.35038
Chepyzhov, Vladimir V.; Vishik, Mark I.
1995
Non-autonomous 2D Navier-Stokes system with a simple global attractor and some averaging problems. Zbl 1068.35089
Chepyzhov, V. V.; Vishik, M. I.
2002
A Hausdorff dimension estimate for kernel sections of non-autonomous evolution equations. Zbl 0819.35073
Chepyzhov, V.; Vishik, Mark Iosifovich
1993
Translationally homogeneous statistical solutions and individual solutions with infinite energy of a system of Navier-Stokes equations. Zbl 0412.35078
Vishik, M. I.; Fursikov, A. V.
1979
Strong trajectory attractor for a dissipative reaction-diffusion system. Zbl 1227.35084
Vishik, M. I.; Zelik, S. V.; Chepyzhov, V. V.
2010
Trajectory attractors of equations of mathematical physics. Zbl 1277.37102
Vishik, M. I.; Chepyzhov, V. V.
2011
Averaging of nonautonomous damped wave equations with singularly oscillating external forces. Zbl 1234.35146
Chepyzhov, V. V.; Pata, V.; Vishik, M. I.
2008
On strongly elliptic systems of differential equations. (Über stark elliptische Differentialgleichungssysteme.) Zbl 0044.09503
Vishik, M. I.
1951
Traveling waves of dissipative nonautonomous hyperbolic equations in a strip. Zbl 0954.35033
Pata, Vittorino; Prouse, Giovanni; Vishik, Mark I.
1998
Quasi-linear strongly elliptic systems of differential equations in divergence form. Zbl 0144.36201
Vishik, M. I.
1963
A general formulation of certain boundary problems for elliptical differential equations in partial derivatives. Zbl 0074.08301
Vishik, M. I.; Sobolev, S. L.
1956
Non-autonomous evolutionary equations with translation-compact symbols and their attractors. Zbl 0837.35059
Chepyzhov, Vladimir V.; Vishik, Mark I.
1995
Kolmogorov $$\varepsilon$$-entropy estimates for the uniform attractors of non-autonomous reaction-diffusion systems. Zbl 0915.35056
Vishik, M. I.; Chepyzhov, V. V.
1998
Initial jump for non-linear differential equations containing a small parameter. Zbl 0094.06301
Vishik, M. I.; Lyusternik, L. A.
1960
Integral manifolds and attractors with exponential rate for nonautonomous hyperbolic equations with dissipation. Zbl 1200.35186
Chepyzhov, V. V.; Goritsky, A. Yu.; Vishik, M. I.
2005
Quantitative homogenization of global attractors for reaction-diffusion systems with rapidly oscillating terms. Zbl 1135.35315
Fiedler, Bernold; Vishik, Mark I.
2003
Uniform finite-parameter asymptotics of solutions of nonlinear evolution equations. Zbl 0765.35023
Babin, A. V.; Vishik, M. I.
1991
On a class of higher order degenerate elliptic equations. Zbl 0191.11703
Vishik, M. I.; Grushin, V. V.
1970
Boundary value problems for elliptic equations degenerate on the boundary of a domain. Zbl 0202.11402
Vishik, M. I.; Grushin, V. V.
1970
Trajectory attractors for dissipative 2D Euler and Navier-Stokes equations. Zbl 1180.35420
Chepyzhov, V. V.; Vishik, M. I.
2008
Regular attractors and nonautonomous perturbations of them. Zbl 1278.35027
Vishik, Marko I.; Zelik, Sergey V.; Chepyzhov, Vladimir V.
2013
Elliptic pseudodifferential operators on a closed manifold which degenerate on a submanifold. Zbl 0238.35078
Vishik, M. I.; Grushin, V. V.
1969
The asymptotic behaviour of solutions of linear differential equations with large or quickly changing coefficients and boundary conditions. Zbl 0098.06501
Vishik, M. I.; Lyusternik, L. A.
1960
Unstable invariant sets of semigroups of non-linear operators and their perturbations. Zbl 0624.47065
Babin, A. V.; Vishik, M. I.
1986
Nonautonomous evolution equations and their attractors. Zbl 0913.35055
Chepyzhov, Vladimir V.; Vishik, Mark I.
1993
Quantitative homogenization of analytic semigroups and reaction-diffusion equations with Diophantine spatial frequencies. Zbl 1036.35022
Fiedler, Bernold; Vishik, Mark I.
2001
Elliptic equations in convolution in a bounded domain and their applications. Zbl 0167.44801
Vishik, M. I.; Ehskin, G. I.
1967
Trajectory attractor for reaction-diffusion system with diffusion coefficient vanishing in time. Zbl 1194.35072
Chepyzhov, Vladimir V.; Vishik, Mark I.
2010
Approximation of trajectories lying on a global attractor of a hyperbolic equation with an exterior force that oscillates rapidly over time. Zbl 1077.37048
Vishik, M. I.; Chepyzhov, V. V.
2003
Trajectory attractors for the 2D Navier-Stokes system and some generalizations. Zbl 0894.35011
Chepyzhov, Vladimir V.; Vishik, Mark I.
1996
Attractors of dissipative hyperbolic equations with singularly oscillating external forces. Zbl 1124.37046
Vishik, M. I.; Chepyzhov, V. V.
2006
Boundary value problems for partial differential equations and certain classes of operator equations. Zbl 0084.11002
Vishik, M. I.; Ladyzhenskaya, O. A.
1958
On the asymptotic behaviour of the solutions of boundary problems for quasilinear differential equations. Zbl 0094.06203
Vishik, M. I.; Lyusternik, L. A.
1958
Maximal attractors of semigroups corresponding to evolution differential equations. Zbl 0611.35033
Babin, A. V.; Vishik, M. I.
1986
Attracteurs maximaux dans les équations aux dérivées partielles. (Maximal attractors for partial differential equations). Zbl 0575.35005
Babin, A. V.; Vishik, M. I.
1985
Large patterns of elliptic systems in infinite cylinders. Zbl 0917.35011
Fiedler, Bernold; Scheel, Arnd; Vishik, Mark I.
1998
Quantitative homogenization of global attractors for hyperbolic wave equations with rapidly oscillating coefficients. Zbl 1055.35025
Fiedler, B.; Vishik, M. I.
2002
Solutions statistiques homogenes des systèmes différentiels paraboliques et du système de Navier-Stokes. Zbl 0373.76055
Vishik, M. I.; Foursikov, A. V.
1977
Das Cauchysche Problem für Gleichungen mit Operatorkoeffizienten, eine gemischte Randwertaufgabe für Differentialgleichungssysteme und eine Näherungsmethode zu ihrer Lösung. Zbl 0070.12202
Vishik, M. I.
1956
L’equation de Hopf, les solutions statistiques, les moments correspondants aux systèmes des équations paraboliques quasilineaires. Zbl 0352.35072
Vishik, M. I.; Fursikov, A. V.
1977
Convolution equations in a bounded region in spaces with weight norms. (Faltungsgleichungen in einem beschränkten Gebiet in Räumen mit Gewichtsnormen.) Zbl 0152.34301
Vishik, M. I.; Èskin, G. I.
1966
Convolution equations of variable order. Zbl 0194.42705
Vishik, M. I.; Eskin, G. I.
1967
The nonautonomous Ginzburg-Landau equation and its attractors. Zbl 1105.35121
Vishik, M. I.; Chepyzhov, V. V.
2005
Regular attractor for a nonlinear elliptic system in a cylindrical domain. Zbl 0940.35085
Vishik, M. I.; Zelik, S. V.
1999
Individual and statistical solutions of the two-dimensional Euler system. Zbl 0503.35075
Vishik, M. I.; Komech, A. I.
1981
Solvability of the first boundary value problem for quasilinear equations with rapidly increasing coefficients in Orlicz classes. Zbl 0158.12403
Vishik, M. I.
1963
Attractors of Navier-Stokes systems and of parabolic equations, and estimates for their dimensions. Zbl 0562.35067
Babin, A. V.; Vishik, M. I.
1985
Attractors of periodic processes and estimates of their dimension. Zbl 0841.35016
Vishik, M. I.; Chepyzhov, V. V.
1995
Boundary-value problems for elliptic equations degenerating on the boundary of a region. Zbl 0127.31803
Visik, M.
1964
Über allgemeine Randwertprobleme für elliptische Differentialgleichungen. Zbl 0047.09502
Vishik, M. I.
1952
Stabilization of solutions of certain differential equations in Hilbert space. Zbl 0072.33003
Vishik, M. I.; Lyusternik, L. A.
1956
Averaging of trajectory attractors of evolution equations with rapidly oscillating coefficients. Zbl 1046.37046
Chepyzhov, V. V.; Vishik, M. I.
2001
Attractors of non-autonomous evolution equations with translation-compact symbols. Zbl 0836.35062
Chepyzhov, V. V.; Vishik, M. I.
1995
Attractors for nonautonomous Navier-Stokes system and other partial differential equations. Zbl 1141.76018
2008
Elliptic boundary value problems degenerating on a submanifold of the boundary. Zbl 0238.35032
Vishik, M. I.; Grushin, V. V.
1970
Über die endliche Fortpflanzungsgeschwindigkeit bei nichtstationärer Filtration von Flüssigkeiten und Gasen. Zbl 0074.43006
Barenblatt, G. I.; Vishik, M. I.
1956
Mathematische Probleme der statistischen Hydromechanik. (Mathematical problems of statistical hydromechanics). Zbl 0626.35002
Višik, M. J.; Fursikov, A. V.
1986
Uniform finite-parameter asymptotics of solutions of nonlinear evolutionary equations. Zbl 0717.35009
Babin, A. V.; Vishik, M. I.
1989
The trajectory attractor of a nonlinear elliptic system in a cylindrical domain. Zbl 0871.35016
Vishik, M. I.; Zelik, S. V.
1996
Attractors of Navier-Stokes system and parabolic equations and an estimate of their dimension. Zbl 0507.35076
Babin, A. V.; Vishik, M. I.
1982
Dimension estimates for attractors and for kernel sections of non-autonomous evolution equations. Zbl 0796.35065
Chepyzhov, Vladimir V.; Vishik, Mark I.
1993
Les opérateurs différentiels et pseudo-différentiels à une infinite de variables, les problèmes elliptiques et paraboliques. Zbl 0285.35061
Vishik, M. I.
1973
Elliptic boundary value problems depending on a parameter. Zbl 0145.14701
Agranovich, M. S.; Vishik, M. I.
1963
Randwertprobleme für elliptische Gleichungen, die auf dem Rand des Gebietes entartet sind. Zbl 0186.17101
Vishik, M. I.; Grushin, V. V.
1969
Entartende elliptische Differential- und Pseudodifferentialoperatoren. Zbl 0209.40901
Vishik, M. I.; Grushin, V. V.
1970
The global attractor of the nonautonomous $$2D$$ Navier-Stokes system with singularly oscillating external force. Zbl 1166.35310
Vishik, M. I.; Chepyzhov, V. V.
2007
Infinite-dimensional parabolic equations connected with stochastic partial differential equations. Zbl 0389.60046
Vishik, M. I.; Komech, A. I.
1977
Parabolische Faltungsgleichungen in einem beschränkten Gebiet. Zbl 0154.36201
Vishik, M. I.; Ehskin, G. I.
1966
Methode der orthogonalen und direkten Zerlegungen in der Theorie der elliptischen Differentialgleichungen. Zbl 0039.32003
Vishik, M. I.
1949
Periodic processes and non-autonomous evolution equations with time- periodic terms. Zbl 0820.47073
Chepyzhov, V. V.; Vishik, M. I.
1994
Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit. Zbl 1304.35127
Vishik, Mark I.; Zelik, Sergey
2014
On the solvability of the Cauchy problem for the Hopf equation corresponding to a nonlinear hyperbolic equation. Zbl 0495.35056
Vishik, M. I.; Komech, A. I.
1982
Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit. Zbl 1304.35127
Vishik, Mark I.; Zelik, Sergey
2014
Regular attractors and nonautonomous perturbations of them. Zbl 1278.35027
Vishik, Marko I.; Zelik, Sergey V.; Chepyzhov, Vladimir V.
2013
Strong trajectory attractors for dissipative Euler equations. Zbl 1230.35092
Chepyzhov, V. V.; Vishik, M. I.; Zelik, S. V.
2011
Trajectory attractors of equations of mathematical physics. Zbl 1277.37102
Vishik, M. I.; Chepyzhov, V. V.
2011
Strong trajectory attractor for a dissipative reaction-diffusion system. Zbl 1227.35084
Vishik, M. I.; Zelik, S. V.; Chepyzhov, V. V.
2010
Trajectory attractor for reaction-diffusion system with diffusion coefficient vanishing in time. Zbl 1194.35072
Chepyzhov, Vladimir V.; Vishik, Mark I.
2010
Averaging of 2D Navier-Stokes equations with singularly oscillating forces. Zbl 1170.35345
Chepyzhov, V. V.; Pata, V.; Vishik, M. I.
2009
Trajectory attractors of reaction-diffusion systems with small diffusion. Zbl 1178.35079
Vishik, M. I.; Chepyzhov, V. V.
2009
Averaging of nonautonomous damped wave equations with singularly oscillating external forces. Zbl 1234.35146
Chepyzhov, V. V.; Pata, V.; Vishik, M. I.
2008
Trajectory attractors for dissipative 2D Euler and Navier-Stokes equations. Zbl 1180.35420
Chepyzhov, V. V.; Vishik, M. I.
2008
Attractors for nonautonomous Navier-Stokes system and other partial differential equations. Zbl 1141.76018
2008
On the convergence of solutions of the Leray-$$\alpha$$ model to the trajectory attractor of the 3D Navier-Stokes system. Zbl 1146.35071
Chepyzhov, Vladimir V.; Titi, Edriss S.; Vishik, Mark I.
2007
On convergence of trajectory attractors of the 3D Navier-Stokes-$$\alpha$$ model as $$\alpha$$ approaches 0. Zbl 1137.37037
Vishik, M. I.; Titi, E. S.; Chepyzhov, V. V.
2007
Non-autonomous 2D Navier-Stokes system with singularly oscillating external force and its global attractor. Zbl 1132.35017
Chepyzhov, V. V.; Vishik, M. I.
2007
The global attractor of the nonautonomous $$2D$$ Navier-Stokes system with singularly oscillating external force. Zbl 1166.35310
Vishik, M. I.; Chepyzhov, V. V.
2007
Attractors of dissipative hyperbolic equations with singularly oscillating external forces. Zbl 1124.37046
Vishik, M. I.; Chepyzhov, V. V.
2006
On non-autonomous sine-Gordon type equations with a simple global attractor and some averaging. Zbl 1067.35017
Chepyzhov, V. V.; Vishik, M. I.; Wendland, W. L.
2005
Integral manifolds and attractors with exponential rate for nonautonomous hyperbolic equations with dissipation. Zbl 1200.35186
Chepyzhov, V. V.; Goritsky, A. Yu.; Vishik, M. I.
2005
The nonautonomous Ginzburg-Landau equation and its attractors. Zbl 1105.35121
Vishik, M. I.; Chepyzhov, V. V.
2005
Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327
Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural&rsquo;tseva, Nina; Vishik, Mark
2004
Quantitative homogenization of global attractors for reaction-diffusion systems with rapidly oscillating terms. Zbl 1135.35315
Fiedler, Bernold; Vishik, Mark I.
2003
Approximation of trajectories lying on a global attractor of a hyperbolic equation with an exterior force that oscillates rapidly over time. Zbl 1077.37048
Vishik, M. I.; Chepyzhov, V. V.
2003
Kolmogorov $$\varepsilon$$-entropy in the problems on global attractors for evolution equations of mathematical physics. Zbl 1072.37056
Vishik, M. I.; Chepyzhov, V. V.
2003
Attractors for equations of mathematical physics. Zbl 0986.35001
Chepyzhov, V. V.; Vishik, M. I.
2002
Trajectory and global attractors of the three-dimensional Navier-Stokes system. Zbl 1130.37404
Vishik, M. I.; Chepyzhov, V. V.
2002
Non-autonomous 2D Navier-Stokes system with a simple global attractor and some averaging problems. Zbl 1068.35089
Chepyzhov, V. V.; Vishik, M. I.
2002
Quantitative homogenization of global attractors for hyperbolic wave equations with rapidly oscillating coefficients. Zbl 1055.35025
Fiedler, B.; Vishik, M. I.
2002
Averaging of trajectory attractors of evolution equations with rapidly oscillating terms. Zbl 1011.35104
Vishik, M. I.; Chepyzhov, V. V.
2001
Quantitative homogenization of analytic semigroups and reaction-diffusion equations with Diophantine spatial frequencies. Zbl 1036.35022
Fiedler, Bernold; Vishik, Mark I.
2001
Averaging of trajectory attractors of evolution equations with rapidly oscillating coefficients. Zbl 1046.37046
Chepyzhov, V. V.; Vishik, M. I.
2001
Mikhail Semenovich Agranovich (on his 70th birthday). Zbl 1017.01503
Amosov, B. A.; Birman, M. S.; Vishik, M. I.; Volevich, L. R.; Gel&rsquo;fand, I. M.; Friedlander, L. F.; Shubin, M. A.
2001
Regular attractor for a nonlinear elliptic system in a cylindrical domain. Zbl 0940.35085
Vishik, M. I.; Zelik, S. V.
1999
Perturbation of trajectory attractors for dissipative hyperbolic equations. Zbl 0938.35029
Chepyzhov, Vladimir V.; Vishik, Mark I.
1999
Traveling waves of dissipative nonautonomous hyperbolic equations in a strip. Zbl 0954.35033
Pata, Vittorino; Prouse, Giovanni; Vishik, Mark I.
1998
Kolmogorov $$\varepsilon$$-entropy estimates for the uniform attractors of non-autonomous reaction-diffusion systems. Zbl 0915.35056
Vishik, M. I.; Chepyzhov, V. V.
1998
Large patterns of elliptic systems in infinite cylinders. Zbl 0917.35011
Fiedler, Bernold; Scheel, Arnd; Vishik, Mark I.
1998
Evolution equations and their trajectory attractors. Zbl 0896.35032
Chepyzhov, Vladimir V.; Vishik, Mark I.
1997
Trajectory attractors for reaction-diffusion systems. Zbl 0894.35010
Chepyzhov, Vladimir V.; Vishik, Mark I.
1996
Trajectory attractors for the 2D Navier-Stokes system and some generalizations. Zbl 0894.35011
Chepyzhov, Vladimir V.; Vishik, Mark I.
1996
The trajectory attractor of a nonlinear elliptic system in a cylindrical domain. Zbl 0871.35016
Vishik, M. I.; Zelik, S. V.
1996
Local integral manifolds for a nonautonomous parabolic equation. Zbl 0921.35065
Goritskij, A. Yu.; Vishik, M. I.
1996
Trajectory attractors for evolution equations. Zbl 0843.35038
Chepyzhov, Vladimir V.; Vishik, Mark I.
1995
Non-autonomous evolutionary equations with translation-compact symbols and their attractors. Zbl 0837.35059
Chepyzhov, Vladimir V.; Vishik, Mark I.
1995
Attractors of periodic processes and estimates of their dimension. Zbl 0841.35016
Vishik, M. I.; Chepyzhov, V. V.
1995
Attractors of non-autonomous evolution equations with translation-compact symbols. Zbl 0836.35062
Chepyzhov, V. V.; Vishik, M. I.
1995
Attractors of non-autonomous dynamical systems and their dimension. Zbl 0838.58021
Chepyzhov, V. V.; Vishik, M. I.
1994
Periodic processes and non-autonomous evolution equations with time- periodic terms. Zbl 0820.47073
Chepyzhov, V. V.; Vishik, M. I.
1994
Stabilized asymptotics of solutions to reaction-diffusion systems with a small parameter. Zbl 0860.35010
Vishik, M. I.; Skvortzov, V. Yu.
1994
Attractors of non-autonomous partial differential equation and their dimension. Zbl 0811.58040
Vishik, Mark I.; Chepyzhov, Vladimir V.
1994
A Hausdorff dimension estimate for kernel sections of non-autonomous evolution equations. Zbl 0819.35073
Chepyzhov, V.; Vishik, Mark Iosifovich
1993
Nonautonomous evolution equations and their attractors. Zbl 0913.35055
Chepyzhov, Vladimir V.; Vishik, Mark I.
1993
Dimension estimates for attractors and for kernel sections of non-autonomous evolution equations. Zbl 0796.35065
Chepyzhov, Vladimir V.; Vishik, Mark I.
1993
Attractors for nonautonomous evolution equations with almost periodic symbols. Zbl 0770.35028
Chepyzhov, Vladimir V.; Vishik, Mark I.
1993
Attractors of evolution equations. Transl. from the Russian by A. V. Babin. Zbl 0778.58002
Babin, A. V.; Vishik, M. I.
1992
Asymptotic behaviour of solutions of evolutionary equations. Zbl 0797.35016
Vishik, M. I.
1992
Attractors of nonautonomous dynamical systems and an estimation of their dimension. Zbl 0866.35022
Vishik, M. I.; Chepyzhov, V. V.
1992
Properties of global attractors of partial differential equations. Zbl 0746.00021
1992
Uniform finite-parameter asymptotics of solutions of nonlinear evolution equations. Zbl 0765.35023
Babin, A. V.; Vishik, M. I.
1991
Attractors of partial differential evolution equations in an unbounded domain. Zbl 0721.35029
Babin, A. V.; Vishik, M. I.
1990
Attractors of evolution equations. (Attraktory ehvolyutsionnykh uravnenij.) Zbl 0804.58003
Babin, A. V.; Vishik, M. I.
1989
Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002
Arnol&rsquo;d, V. I.; Vishik, M. I.; Il&rsquo;yashenko, Yu. S.; Kalashnikov, A. S.; Kondrat&rsquo;ev, V. A.; Kruzhkov, S. N.; Landis, E. M.; Millionshchikov, V. M.; Oleĭnik, O. A.; Filippov, A. F.; Shubin, M. A.
1989
Uniform finite-parameter asymptotics of solutions of nonlinear evolutionary equations. Zbl 0717.35009
Babin, A. V.; Vishik, M. I.
1989
Mathematical problems of statistical hydromechanics. Transl. from the Russian by D. A. Leites. Zbl 0688.35077
Vishik, M. I.; Fursikov, A. V.
1988
Attractors of parabolic and hyperbolic equations, the nature of their compactness and attraction. Zbl 0667.35004
Babin, A. V.; Vishik, M. I.
1988
Spectral and stabilized asymptotic behaviour of solutions of nonlinear evolution equations. Zbl 0677.35007
Babin, A. V.; Vishik, M. I.
1988
Perturbations of quasilinear elliptic equations and Fredholm manifolds. Zbl 0625.35029
Vishik, M. I.; Kuksin, S. B.
1987
Unstable invariant sets of semigroups of non-linear operators and their perturbations. Zbl 0624.47065
Babin, A. V.; Vishik, M. I.
1986
Maximal attractors of semigroups corresponding to evolution differential equations. Zbl 0611.35033
Babin, A. V.; Vishik, M. I.
1986
Mathematische Probleme der statistischen Hydromechanik. (Mathematical problems of statistical hydromechanics). Zbl 0626.35002
Višik, M. J.; Fursikov, A. V.
1986
Attracteurs maximaux dans les équations aux dérivées partielles. (Maximal attractors for partial differential equations). Zbl 0575.35005
Babin, A. V.; Vishik, M. I.
1985
Attractors of Navier-Stokes systems and of parabolic equations, and estimates for their dimensions. Zbl 0562.35067
Babin, A. V.; Vishik, M. I.
1985
Quasilinear elliptic equations and Fredholm manifolds. Zbl 0599.35041
Vishik, M. I.; Kuksin, S. B.
1985
Regular attractors of semigroups and evolution equations. Zbl 0565.47045
Babin, A. V.; Vishik, M. I.
1983
Attractors of partial differential evolution equations and estimates of their dimension. Zbl 0541.35038
Babin, A. V.; Vishik, M. I.
1983
Upper and lower estimates for the dimension of attractors of partial differential evolution equations. Zbl 0576.35056
Babin, A. V.; Vishik, M. I.
1983
Attractors of Navier-Stokes system and parabolic equations and an estimate of their dimension. Zbl 0507.35076
Babin, A. V.; Vishik, M. I.
1982
On the solvability of the Cauchy problem for the Hopf equation corresponding to a nonlinear hyperbolic equation. Zbl 0495.35056
Vishik, M. I.; Komech, A. I.
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.
1982
Attractors of quasilinear parabolic equations. Zbl 0511.35046
Babin, A. V.; Vishik, M. I.
1982
Strong solution of a two-dimensional stochastic Navier-Stokes system and the corresponding Kolmogorov equation. Zbl 0512.60050
Vishik, M. I.; Komech, A. I.
1982
Individual and statistical solutions of the two-dimensional Euler system. Zbl 0503.35075
Vishik, M. I.; Komech, A. I.
1981
Weak solutions of the inverse Kolmogorov equation corresponding to the stochastic Navier-Stokes system. Zbl 0491.60061
Vishik, M. I.; Komech, A. I.
1981
On a stochastic Navier-Stokes system and the corresponding Kolmogorov equations. Zbl 0513.35071
Vishik, M. I.; Komech, A. I.
1981
Mathematical problems of statistical hydromechanics. (Matematicheskie zadachi statisticheskoj gidromekhaniki). Zbl 0643.35005
Vishik, M. I.; Fursikov, A. V.
1980
Some mathematical problems of statistical hydromechanics. Zbl 0503.76045
Vishik, M. I.; Komech, A. I.; Fursikov, A. V.
1979
Translationally homogeneous statistical solutions and individual solutions with infinite energy of a system of Navier-Stokes equations. Zbl 0412.35078
Vishik, M. I.; Fursikov, A. V.
1979
Translationshomogene statistische Lösungen und individuelle Lösungen mit unendlicher Energie eines Systems von Navier-Stokes Gleichungen. Zbl 0396.35077
Vishik, M. I.; Fursikov, A. V.
1978
On Cauchy’s problem for infinite dimensional parabolic differential equations of second order. Zbl 0415.35040
Vishik, M. I.; Komech, A. I.
1978
Solutions statistiques homogenes des systèmes différentiels paraboliques et du système de Navier-Stokes. Zbl 0373.76055
Vishik, M. I.; Foursikov, A. V.
1977
L’equation de Hopf, les solutions statistiques, les moments correspondants aux systèmes des équations paraboliques quasilineaires. Zbl 0352.35072
Vishik, M. I.; Fursikov, A. V.
1977
Infinite-dimensional parabolic equations connected with stochastic partial differential equations. Zbl 0389.60046
Vishik, M. I.; Komech, A. I.
1977
Homogene statistische Lösungen eines Navier-Stokesschen Systems. Zbl 0363.35033
Vishik, M. I.; Fursikov, A. V.
1977
Asymptotic expansion of moment functions of solutions of nonlinear parabolic equations. Zbl 0323.35046
Vishik, M. I.; Fursikov, A. V.
1976
Sobolev-Slobodeckii spaces of variable order with weighted norms and their applications to mixed elliptic boundary problems. Zbl 0351.35030
Vishik, M. I.
1976
Analytic first integrals of nonlinear parabolic equations and their applications. Zbl 0297.35041
Vishik, M. I.; Fursikov, A. V.
1974
Boundary value problems for second-order elliptic and parabolic operators on infinite-dimensional manifolds with boundary. Zbl 0282.35037
Vishik, M. I.; Marchenko, A. V.
1974
Analytic first integrals of quasi-linear parabolic equations. Zbl 0304.35058
Vishik, M. I.; Fursikov, A. V.
1974
Les opérateurs différentiels et pseudo-différentiels à une infinite de variables, les problèmes elliptiques et paraboliques. Zbl 0285.35061
Vishik, M. I.
1973
On a class of pseudodifferential operators with an infinite number of variables, and applications. Zbl 0248.35109
Bleher, P. M.; Vishik, M. I.
1972
The parametrix of elliptic operators with infinitely many independent variables. Zbl 0221.35070
Vishik, M. I.
1971
...and 49 more Documents
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### Cited by 1,941 Authors

 84 Nazarov, Sergeĭ Aleksandrovich 52 Zelik, Sergey V. 44 Zhou, Shengfan 42 Langa, Jose’ Antonio 40 Valero, José 38 Chepyzhov, Vladimir V. 37 Caraballo Garrido, Tomás 37 Zhong, Chengkui 36 Wang, Bixiang 36 Zhao, Caidi 33 Kloeden, Peter Eris 32 Kapustyan, Oleksiy V. 32 Miranville, Alain M. 31 Chueshov, Igor’ Dmitrievich 31 Nolasco de Carvalho, Alexandre 29 Sun, Chunyou 27 Kasyanov, Pavlo O. 27 Temam, Roger Meyer 27 Vishik, Marko Iosifovich 25 Pata, Vittorino 24 Robinson, James Cooper 21 Guo, Boling 18 Cui, Hongyong 18 You, Yuncheng 17 Ilyin, Alexei A. 17 Qin, Yuming 17 Schulze, Bert-Wolfgang 16 Conti, Monica C. 16 Efendiev, Messoud 16 Wang, Yejuan 16 Yang, Meihua 16 You, Bo 15 Duan, Jinqiao 15 Fiedler, Bernold 15 Grasselli, Maurizio 15 Kalantarov, Varga K. 15 Lasiecka, Irena 15 Łukaszewicz, Grzegorz 15 Marín-Rubio, Pedro 15 Yang, Zhijian 14 Hale, Jack Kenneth 14 Li, Yangrong 14 Rocha, Carlos 14 Tachim Medjo, Theodore 14 Wang, Xiaoming 14 Xie, Yongqin 13 Cholewa, Jan W. 13 Li, Desheng 13 Ma, To Fu 13 Rodríguez-Bernal, Aníbal 13 Schmalfuß, Björn 13 Titi, Edriss Saleh 12 Arrieta, José M. 12 Babin, Anatoli V. 12 Cung The Anh 12 Feireisl, Eduard 12 Foiaş, Ciprian Ilie 12 Freitas, Mirelson M. 12 Gal, Ciprian Gheorghe Sorin 12 Gorban, Nataliia V. 12 Kalita, Piotr 12 Li, Fang 12 Raugel, Geneviève 12 Shirikyan, Armen R. 12 Zvyagin, Viktor Grigor’evich 11 Chechkin, Gregory Aleksandrovich 11 Jung, Changyeol 11 Lu, Kening 11 Ma, Qiaozhen 11 Meng, Fengjuan 11 Real Anguas, José 11 Solonnikov, Vsevolod Alekseevich 11 Xin, Jie 11 Zhu, Kaixuan 10 Abdallah, Ahmed Y. 10 Faierman, Melvin 10 Komech, Alexander Ilich 10 Li, Yongsheng 10 Los, Valerii M. 10 O’Malley, Robert E. jun. 10 Rezunenko, Oleksandr V”yacheslavovych 10 Rosa, Ricardo M. S. 10 Yang, Xinguang 10 Zgurovsky, Mikhail Z. 9 Bezerra, Flank David Morais 9 Brzeźniak, Zdzisław 9 Gatti, Stefania 9 Khanmamedov, Azer Kh. 9 Kostianko, Anna 9 Li, Xiaojun 9 Shakhmurov, Veli B. 9 Yue, Gaocheng 8 Denk, Robert 8 Dlotko, Tomasz W. 8 Dudnikova, Tat’yana V. 8 Howes, Frederick A. 8 Liu, Cuncai 8 Ma, Shan 8 Nascimento, Marcelo Jose Dias 8 Yang, Lu ...and 1,841 more Authors
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### Cited in 314 Serials

 160 Journal of Differential Equations 150 Journal of Mathematical Analysis and Applications 116 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 87 Journal of Mathematical Sciences (New York) 74 Discrete and Continuous Dynamical Systems. Series B 56 Journal of Dynamics and Differential Equations 53 Mathematical Notes 47 Journal of Soviet Mathematics 45 Discrete and Continuous Dynamical Systems 41 Communications on Pure and Applied Analysis 40 Siberian Mathematical Journal 39 Journal of Mathematical Physics 36 Ukrainian Mathematical Journal 35 Physica D 31 Nonlinear Analysis. Real World Applications 28 Journal of Applied Mathematics and Mechanics 27 Applied Mathematics and Computation 24 Applied Mathematics Letters 24 Communications in Partial Differential Equations 24 Doklady Mathematics 23 Mathematical Methods in the Applied Sciences 23 Abstract and Applied Analysis 23 Nonlinear Analysis. Theory, Methods & Applications 22 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 22 Russian Journal of Mathematical Physics 21 Applied Mathematics and Mechanics. (English Edition) 21 Stochastics and Dynamics 20 Acta Mathematicae Applicatae Sinica. English Series 19 Archive for Rational Mechanics and Analysis 19 Journal of Functional Analysis 19 Transactions of the American Mathematical Society 19 Journal de Mathématiques Pures et Appliquées. Neuvième Série 18 Annali di Matematica Pura ed Applicata. Serie Quarta 18 Journal of Mathematical Fluid Mechanics 18 Differential Equations 17 Applicable Analysis 17 Communications in Mathematical Physics 17 Applied Mathematics and Optimization 17 Functional Analysis and its Applications 16 Fluid Dynamics 15 Boundary Value Problems 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 14 Integral Equations and Operator Theory 14 Computational Mathematics and Mathematical Physics 13 Journal of Statistical Physics 13 Annales de l’Institut Fourier 13 St. Petersburg Mathematical Journal 13 Journal of Evolution Equations 11 Evolution Equations and Control Theory 10 Computers & Mathematics with Applications 10 Communications on Pure and Applied Mathematics 10 Mathematische Nachrichten 10 Numerische Mathematik 10 Chinese Annals of Mathematics. Series B 10 Stochastic Analysis and Applications 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 NoDEA. Nonlinear Differential Equations and Applications 10 Sbornik: Mathematics 10 Lobachevskii Journal of Mathematics 9 Journal of Computational and Applied Mathematics 9 Quarterly of Applied Mathematics 9 SIAM Journal on Mathematical Analysis 9 International Applied Mechanics 9 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 9 Discrete and Continuous Dynamical Systems. Series S 8 Advances in Mathematics 8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 8 Cybernetics and Systems Analysis 8 Proceedings of the Steklov Institute of Mathematics 7 Computer Methods in Applied Mechanics and Engineering 7 Rocky Mountain Journal of Mathematics 7 Proceedings of the American Mathematical Society 7 Acta Applicandae Mathematicae 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Stochastic Processes and their Applications 7 Journal of Difference Equations and Applications 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Nonlinearity 6 Theoretical and Mathematical Physics 6 Prikladnaya Matematika i Mekhanika 6 Czechoslovak Mathematical Journal 6 Mathematische Annalen 6 Numerical Functional Analysis and Optimization 6 Rendiconti del Seminario Matematico della Università di Padova 6 Discrete Dynamics in Nature and Society 6 Acta Mathematica Sinica. English Series 6 Journal of Dynamical and Control Systems 6 Journal of Applied Mathematics 6 Set-Valued and Variational Analysis 6 Eurasian Mathematical Journal 6 Open Mathematics 5 International Journal of Engineering Science 5 Russian Mathematical Surveys 5 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 5 Mathematics of Computation 5 Zeitschrift für Analysis und ihre Anwendungen 5 Applied Numerical Mathematics 5 Russian Mathematics 5 Potential Analysis 5 Topological Methods in Nonlinear Analysis ...and 214 more Serials
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### Cited in 52 Fields

 1,886 Partial differential equations (35-XX) 677 Dynamical systems and ergodic theory (37-XX) 428 Fluid mechanics (76-XX) 243 Ordinary differential equations (34-XX) 204 Operator theory (47-XX) 198 Mechanics of deformable solids (74-XX) 186 Probability theory and stochastic processes (60-XX) 92 Numerical analysis (65-XX) 71 Global analysis, analysis on manifolds (58-XX) 63 Functional analysis (46-XX) 49 Biology and other natural sciences (92-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 39 Systems theory; control (93-XX) 36 Statistical mechanics, structure of matter (82-XX) 36 Geophysics (86-XX) 35 Integral equations (45-XX) 32 Classical thermodynamics, heat transfer (80-XX) 29 Quantum theory (81-XX) 23 Optics, electromagnetic theory (78-XX) 21 Mechanics of particles and systems (70-XX) 19 Measure and integration (28-XX) 16 Difference and functional equations (39-XX) 14 Real functions (26-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 9 Potential theory (31-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 General topology (54-XX) 8 Differential geometry (53-XX) 7 Functions of a complex variable (30-XX) 7 Special functions (33-XX) 6 Combinatorics (05-XX) 6 Approximations and expansions (41-XX) 6 Statistics (62-XX) 5 History and biography (01-XX) 5 Manifolds and cell complexes (57-XX) 4 Topological groups, Lie groups (22-XX) 3 Group theory and generalizations (20-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

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