Edit Profile (opens in new tab) Vishik, Marko Iosifovich (b. 1921 d. 2012) Co-Author Distance 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: 288 Publications since 1947, including 7 Books 1 Contribution as Editor Biographic References: 14 Publications Co-Authors: 124 Co-Authors with 229 Joint Publications 4,029 Co-Co-Authors all top 5 Co-Authors 58 single-authored 53 Chepyzhov, Vladimir V. 30 Babin, Anatoli V. 22 Fursikov, Andreĭ Vladimirovich 20 Komech, Alexander Ilich 17 Lyusternik, Lazar’ Aronovich 16 Oleĭnik, Ol’ga Arsen’evna 14 Eskin, Gregory 9 Grushin, V. V. 8 Aleksandrov, Pavel Sergeevich 7 Agranovich, Mikhail Semënovich 7 Sobolev, Sergeĭ L’vovich 6 Kondrat’ev, Vladimir Aleksandrovich 6 Skvortsov, M. Yu. 6 Zelik, Sergey V. 5 Kalashnikov, Anatoliĭ Sergeevich 5 Kolmogorov, Andreĭ Nikolaevich 4 Arnol’d, Vladimir Igorevich 4 Fiedler, Bernold 4 Ilyashenko, Yulij Sergeevich 4 Ladyzhenskaya, Ol’ga Aleksandrovna 4 Maslov, Viktor Pavlovich 4 Novikov, Sergeĭ Petrovich 4 Pata, Vittorino 4 Shilov, Georgiĭ Evgen’evich 4 Shubin, Mikhail Aleksandrovich 4 Skrypnyk, Igor Volodymyrovych 3 Ditkin, Vitaliĭ Arsen’evich 3 Gel’fand, Israil’ Moiseevich 3 Kuksin, Sergeĭ B. 3 Lavrent’ev, Mikhail Alekseevich 2 Bazaliĭ, Boris V. 2 Bitsadze, Andreĭ Vasil’evich 2 Bleher, Pavel M. 2 Danilyuk, Ivan Il’ich 2 Gindikin, Simon Grigorevich 2 Goritskiĭ, Andreĭ Yur’evich 2 Landis, Evgenii Mikhailovich 2 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 2 Petrovskiĭ, Ivan Georgievich 2 Skvortzov, V. Yu. 2 Titi, Edriss Saleh 2 Vladimirov, Vasiliĭ Sergeevich 2 Volevich, Leonid Romanovich 1 Afendikov, Andrei Leonidovich 1 Aĭzenberg, Lev Abramovich 1 Alfimov, Georgiĭ Leonidovich 1 Amosov, B. A. 1 Aptekarev, Alexander Ivanovich 1 Babich, Vasiliĭ Mikhaĭlovich 1 Barenblatt, Grigory Isaakovich 1 Birman, Mikhail Shlëmovich 1 Blekher, P. M. 1 Buldyrev, V. S. 1 Burago, Yuriĭ Dmitrievich 1 Chernous’ko, Feliks Leonidovich 1 Comech, Andrew 1 Dobrokhotov, Sergei Yurievich 1 Egorov, Yuriĭ Vladimirovich 1 Èl’sgol’ts, Lev Èrnestovich 1 Escamilla Reyna, Juan Alberto 1 Filippov, Alexey F. 1 Fomin, Sergeĭ Vasil’evich 1 Foursikov, A. V. 1 Fradkin, L. Yu. 1 Friedlander, L. F. 1 Friedlander, Susan Jean 1 Frost, V. A. 1 Gerver, M. L. 1 Gol’denveĭzer, A. L. 1 Khavin, Viktor Petrovich 1 Ibragimov, A. I. 1 Il’in, Arlen Mikhaĭlovich 1 Kaloshin, V. A. 1 Karabegov, Alexander V. 1 Karasev, Mikhail Vladimirovich 1 Klimov, Dmitrij M. 1 Kosmodem’yanskii, A. A. jun. 1 Kostyuchenko, Anatolii Gordeevich 1 Kozlova, E. I. 1 Kruzhkov, Stanislav Nicolayevich 1 Kryukovskij, A. S. 1 Kucherenko, Valeri V. 1 Kudryavtsev, Lev Dmitrievich 1 Lax, Peter David 1 Lukin, Dmitry S. 1 Lyalinov, Mikhail Anatolievich 1 Malamud, Mark M. 1 Mendoza Torres, Francisco Javier 1 Millionshchikov, Vladimir Mikhaĭlovich 1 Molotkov, I. A. 1 Myshkis, Anatoliĭ Dmitrievich 1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 1 Nirenberg, Louis 1 Paneah, Boris 1 Pavlov, Boris Sergeevich 1 Poborchii, S. V. 1 Popov, Aleksandr Leonidovich 1 Prouse, Giovanni 1 Pukhnachov, Vladislav Vasil’evich 1 Rabinovich, Vladimir Samuilovich ...and 24 more Co-Authors all top 5 Serials 33 Russian Mathematical Surveys 26 Soviet Mathematics. Doklady 20 Uspekhi Matematicheskikh Nauk [N. S.] 15 Matematicheskiĭ Sbornik. Novaya Seriya 14 Doklady Akademii Nauk SSSR. Novaya Seriya 13 Translations. Series 2. American Mathematical Society 12 Doklady Akademii Nauk SSSR 12 Mathematics of the USSR, Sbornik 9 Sbornik: Mathematics 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Doklady Mathematics 6 Russian Journal of Mathematical Physics 5 Moscow University Mathematics Bulletin 5 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 5 Comptes Rendus de l’Académie des Sciences. Série I 5 Trudy Seminara Imeni I. G. Petrovskogo 4 Mathematical Notes 4 Journal of Soviet Mathematics 3 Transactions of the Moscow Mathematical Society 3 Trudy Moskovskogo Matematicheskogo Obshchestva 3 Topological Methods in Nonlinear Analysis 3 Journal of Mathematical Sciences (New York) 3 Discrete and Continuous Dynamical Systems 3 Sorosovskiĭ Obrazovatel’nyĭ Zhurnal 2 Siberian Mathematical Journal 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Advances in Differential Equations 1 Nonlinearity 1 Problems of Information Transmission 1 Prikladnaya Matematika i Mekhanika 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Indiana University Mathematics Journal 1 Mathematics of the USSR. Izvestiya 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 1 Selecta Mathematica Sovietica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Asymptotic Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Notices of the American Mathematical Society 1 Matematicheskiĭ Sbornik 1 Journal of Dynamics and Differential Equations 1 Tatra Mountains Mathematical Publications 1 Functional Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Communications on Pure and Applied Analysis 1 Advances in Soviet Mathematics 1 Colloquium Publications. American Mathematical Society 1 Mathematik und ihre Anwendungen in Physik und Technik 1 Mathematics and Its Applications. Soviet Series 1 Studies in Mathematics and its Applications 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova all top 5 Fields 182 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 156 Publications have been cited 4,250 times in 2,885 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. 668 1992 Attractors for equations of mathematical physics. Zbl 0986.35001 Chepyzhov, V. V.; Vishik, M. I. 643 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. 281 1957 Elliptic problems with a parameter and parabolic problems of general type. Zbl 0137.29602 Agranovich, M. S.; Vishik, M. I. 257 1964 Attractors of evolution equations. (Attraktory ehvolyutsionnykh uravnenij.) Zbl 0804.58003 Babin, A. V.; Vishik, M. I. 166 1989 Evolution equations and their trajectory attractors. Zbl 0896.35032 Chepyzhov, Vladimir V.; Vishik, Mark I. 124 1997 Attractors of non-autonomous dynamical systems and their dimension. Zbl 0838.58021 Chepyzhov, V. V.; Vishik, M. I. 123 1994 Attractors of partial differential evolution equations in an unbounded domain. Zbl 0721.35029 Babin, A. V.; Vishik, M. I. 120 1990 Mathematical problems of statistical hydromechanics. Transl. from the Russian by D. A. Leites. Zbl 0688.35077 Vishik, M. I.; Fursikov, A. V. 113 1988 Regular degeneration and boundary layer for linear differential equations with small parameter. Zbl 0122.32402 Vishik, M. I.; Lyusternik, L. A. 89 1962 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. 76 1983 Trajectory and global attractors of the three-dimensional Navier-Stokes system. Zbl 1130.37404 Vishik, M. I.; Chepyzhov, V. V. 66 2002 On general boundary problems for elliptic differential equations. Translated by V. I. Filippenko. Zbl 0131.32301 Vishik, M. I. 57 1963 The solution of some perturbation problems for matrices and selfadjoint differential equations. I. Zbl 0096.08702 Vishik, M. I.; Lyusternik, L. A. 54 1960 Mathematical problems of statistical hydromechanics. (Matematicheskie zadachi statisticheskoj gidromekhaniki). Zbl 0643.35005 Vishik, M. I.; Fursikov, A. V. 51 1980 Asymptotic behaviour of solutions of evolutionary equations. Zbl 0797.35016 Vishik, M. I. 48 1992 On general boundary problems for elliptic differential equations. (Über allgemeine Randwertprobleme für elliptische Differentialgleichungen.) Zbl 0047.09502 Vishik, M. I. 44 1952 On strongly elliptic systems of differential equations. (Über stark elliptische Differentialgleichungssysteme.) Zbl 0044.09503 Vishik, M. I. 38 1951 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. 37 2007 Some mathematical problems of statistical hydromechanics. Zbl 0503.76045 Vishik, M. I.; Komech, A. I.; Fursikov, A. V. 37 1979 Averaging of 2D Navier-Stokes equations with singularly oscillating forces. Zbl 1170.35345 Chepyzhov, V. V.; Pata, V.; Vishik, M. I. 35 2009 Trajectory attractors for reaction-diffusion systems. Zbl 0894.35010 Chepyzhov, Vladimir V.; Vishik, Mark I. 35 1996 Averaging of trajectory attractors of evolution equations with rapidly oscillating terms. Zbl 1011.35104 Vishik, M. I.; Chepyzhov, V. V. 34 2001 Equations in convolutions in a bounded region. Zbl 0152.34202 Vishik, M. I.; Èskin, G. I. 31 1965 Trajectory attractors for evolution equations. Zbl 0843.35038 Chepyzhov, Vladimir V.; Vishik, Mark I. 29 1995 Strong trajectory attractors for dissipative Euler equations. Zbl 1230.35092 Chepyzhov, V. V.; Vishik, M. I.; Zelik, S. V. 28 2011 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. 27 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. 26 2005 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. 26 1979 A Hausdorff dimension estimate for kernel sections of non-autonomous evolution equations. Zbl 0819.35073 Chepyzhov, V.; Vishik, Mark Iosifovich 26 1993 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. 25 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. 24 2007 Non-autonomous 2D Navier-Stokes system with a simple global attractor and some averaging problems. Zbl 1068.35089 Chepyzhov, V. V.; Vishik, M. I. 24 2002 Trajectory attractors of equations of mathematical physics. Zbl 1277.37102 Vishik, M. I.; Chepyzhov, V. V. 22 2011 Strong trajectory attractor for a dissipative reaction-diffusion system. Zbl 1227.35084 Vishik, M. I.; Zelik, S. V.; Chepyzhov, V. V. 22 2010 Quasi-linear strongly elliptic systems of differential equations in divergence form. Zbl 0144.36201 Vishik, M. I. 20 1963 Elliptic pseudodifferential operators on a closed manifold which degenerate on a submanifold. Zbl 0238.35078 Vishik, M. I.; Grushin, V. V. 18 1969 Averaging of nonautonomous damped wave equations with singularly oscillating external forces. Zbl 1234.35146 Chepyzhov, V. V.; Pata, V.; Vishik, M. I. 18 2008 Non-autonomous evolutionary equations with translation-compact symbols and their attractors. Zbl 0837.35059 Chepyzhov, Vladimir V.; Vishik, Mark I. 17 1995 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. 16 2005 Traveling waves of dissipative nonautonomous hyperbolic equations in a strip. Zbl 0954.35033 Pata, Vittorino; Prouse, Giovanni; Vishik, Mark I. 15 1998 Kolmogorov \(\varepsilon\)-entropy estimates for the uniform attractors of non-autonomous reaction-diffusion systems. Zbl 0915.35056 Vishik, M. I.; Chepyzhov, V. V. 15 1998 Initial jump for non-linear differential equations containing a small parameter. Zbl 0094.06301 Vishik, M. I.; Lyusternik, L. A. 15 1960 A general formulation of certain boundary problems for elliptical differential equations in partial derivatives. Zbl 0074.08301 Vishik, M. I.; Sobolev, S. L. 14 1956 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. 14 1960 Quantitative homogenization of global attractors for reaction-diffusion systems with rapidly oscillating terms. Zbl 1135.35315 Fiedler, Bernold; Vishik, Mark I. 13 2003 Elliptic equations in convolution in a bounded domain and their applications. Zbl 0167.44801 Vishik, M. I.; Ehskin, G. I. 13 1967 Maximal attractors of semigroups corresponding to evolution differential equations. Zbl 0611.35033 Babin, A. V.; Vishik, M. I. 13 1986 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. 13 2003 Boundary value problems for elliptic equations degenerate on the boundary of a domain. Zbl 0202.11402 Vishik, M. I.; Grushin, V. V. 13 1970 Trajectory attractor for reaction-diffusion system with diffusion coefficient vanishing in time. Zbl 1194.35072 Chepyzhov, Vladimir V.; Vishik, Mark I. 12 2010 Trajectory attractors for dissipative 2D Euler and Navier-Stokes equations. Zbl 1180.35420 Chepyzhov, V. V.; Vishik, M. I. 12 2008 On a class of higher order degenerate elliptic equations. Zbl 0191.11703 Vishik, M. I.; Grushin, V. V. 12 1970 Uniform finite-parameter asymptotics of solutions of nonlinear evolution equations. Zbl 0765.35023 Babin, A. V.; Vishik, M. I. 12 1991 Unstable invariant sets of semigroups of non-linear operators and their perturbations. Zbl 0624.47065 Babin, A. V.; Vishik, M. I. 12 1986 Regular attractors and nonautonomous perturbations of them. Zbl 1278.35027 Vishik, Marko I.; Zelik, Sergey V.; Chepyzhov, Vladimir V. 12 2013 Nonautonomous evolution equations and their attractors. Zbl 0913.35055 Chepyzhov, Vladimir V.; Vishik, Mark I. 11 1993 Large patterns of elliptic systems in infinite cylinders. Zbl 0917.35011 Fiedler, Bernold; Scheel, Arnd; Vishik, Mark I. 11 1998 Quantitative homogenization of analytic semigroups and reaction-diffusion equations with Diophantine spatial frequencies. Zbl 1036.35022 Fiedler, Bernold; Vishik, Mark I. 11 2001 Trajectory attractors for the 2D Navier-Stokes system and some generalizations. Zbl 0894.35011 Chepyzhov, Vladimir V.; Vishik, Mark I. 11 1996 Attractors of dissipative hyperbolic equations with singularly oscillating external forces. Zbl 1124.37046 Vishik, M. I.; Chepyzhov, V. V. 10 2006 Quantitative homogenization of global attractors for hyperbolic wave equations with rapidly oscillating coefficients. Zbl 1055.35025 Fiedler, B.; Vishik, M. I. 10 2002 Attractors of non-autonomous evolution equations with translation-compact symbols. Zbl 0836.35062 Chepyzhov, V. V.; Vishik, M. I. 9 1995 The nonautonomous Ginzburg-Landau equation and its attractors. Zbl 1105.35121 Vishik, M. I.; Chepyzhov, V. V. 9 2005 Boundary value problems for partial differential equations and certain classes of operator equations. Zbl 0084.11002 Vishik, M. I.; Ladyzhenskaya, O. A. 9 1958 On the asymptotic behaviour of the solutions of boundary problems for quasilinear differential equations. Zbl 0094.06203 Vishik, M. I.; Lyusternik, L. A. 9 1958 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 Solutions statistiques homogenes des systèmes différentiels paraboliques et du système de Navier-Stokes. Zbl 0373.76055 Vishik, M. I.; Foursikov, A. V. 9 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. 8 1956 Über die Lösbarkeit von Randwertaufgaben für quasilineare parabolische Gleichungen höherer Ordnung. Zbl 0149.31202 Vishik, M. I. 8 1962 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. 8 1977 Regular attractor for a nonlinear elliptic system in a cylindrical domain. Zbl 0940.35085 Vishik, M. I.; Zelik, S. V. 7 1999 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 Boundary-value problems for elliptic equations degenerating on the boundary of a region. Zbl 0127.31803 Visik, M. 7 1964 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. 7 1966 Solvability of the first boundary value problem for quasilinear equations with rapidly increasing coefficients in Orlicz classes. Zbl 0158.12403 Vishik, M. I. 7 1963 The trajectory attractor of a nonlinear elliptic system in a cylindrical domain. Zbl 0871.35016 Vishik, M. I.; Zelik, S. V. 7 1996 Individual and statistical solutions of the two-dimensional Euler system. Zbl 0503.35075 Vishik, M. I.; Komech, A. I. 6 1981 Attractors of periodic processes and estimates of their dimension. Zbl 0841.35016 Vishik, M. I.; Chepyzhov, V. V. 6 1995 Averaging of trajectory attractors of evolution equations with rapidly oscillating coefficients. Zbl 1046.37046 Chepyzhov, V. V.; Vishik, M. I. 6 2001 Stabilization of solutions of certain differential equations in Hilbert space. Zbl 0072.33003 Vishik, M. I.; Lyusternik, L. A. 6 1956 Über die endliche Fortpflanzungsgeschwindigkeit bei nichtstationärer Filtration von Flüssigkeiten und Gasen. Zbl 0074.43006 Barenblatt, G. I.; Vishik, M. I. 6 1956 Convolution equations of variable order. Zbl 0194.42705 Vishik, M. I.; Eskin, G. I. 6 1967 Mathematische Probleme der statistischen Hydromechanik. (Mathematical problems of statistical hydromechanics). Zbl 0626.35002 Višik, M. J.; Fursikov, A. V. 5 1986 Uniform finite-parameter asymptotics of solutions of nonlinear evolutionary equations. Zbl 0717.35009 Babin, A. V.; Vishik, M. I. 5 1989 Attractors for nonautonomous Navier-Stokes system and other partial differential equations. Zbl 1141.76018 Chepyzhov, Vladimir; Vishik, Mark 5 2008 Entartende elliptische Differential- und Pseudodifferentialoperatoren. Zbl 0209.40901 Vishik, M. I.; Grushin, V. V. 4 1970 Randwertprobleme für elliptische Gleichungen, die auf dem Rand des Gebietes entartet sind. Zbl 0186.17101 Vishik, M. I.; Grushin, V. V. 4 1969 Elliptic boundary value problems degenerating on a submanifold of the boundary. Zbl 0238.35032 Vishik, M. I.; Grushin, V. V. 4 1970 Quasilinear elliptic equations and Fredholm manifolds. Zbl 0599.35041 Vishik, M. I.; Kuksin, S. B. 4 1985 Translationshomogene statistische Lösungen und individuelle Lösungen mit unendlicher Energie eines Systems von Navier-Stokes Gleichungen. Zbl 0396.35077 Vishik, M. I.; Fursikov, A. V. 4 1978 Dimension estimates for attractors and for kernel sections of non-autonomous evolution equations. Zbl 0796.35065 Chepyzhov, Vladimir V.; Vishik, Mark I. 4 1993 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 Periodic processes and non-autonomous evolution equations with time- periodic terms. Zbl 0820.47073 Chepyzhov, V. V.; Vishik, M. I. 3 1994 Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327 Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural’tseva, Nina; Vishik, Mark 3 2004 Elliptic boundary value problems depending on a parameter. Zbl 0145.14701 Agranovich, M. S.; Vishik, M. I. 3 1963 Parabolische Faltungsgleichungen in einem beschränkten Gebiet. Zbl 0154.36201 Vishik, M. I.; Ehskin, G. I. 3 1966 Methode der orthogonalen und direkten Zerlegungen in der Theorie der elliptischen Differentialgleichungen. Zbl 0039.32003 Vishik, M. I. 3 1949 Les opérateurs différentiels et pseudo-différentiels à une infinite de variables, les problèmes elliptiques et paraboliques. Zbl 0285.35061 Vishik, M. I. 3 1973 Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit. Zbl 1304.35127 Vishik, Mark I.; Zelik, Sergey 2 2014 Regular attractors and nonautonomous perturbations of them. Zbl 1278.35027 Vishik, Marko I.; Zelik, Sergey V.; Chepyzhov, Vladimir V. 12 2013 Strong trajectory attractors for dissipative Euler equations. Zbl 1230.35092 Chepyzhov, V. V.; Vishik, M. I.; Zelik, S. V. 28 2011 Trajectory attractors of equations of mathematical physics. Zbl 1277.37102 Vishik, M. I.; Chepyzhov, V. V. 22 2011 Strong trajectory attractor for a dissipative reaction-diffusion system. Zbl 1227.35084 Vishik, M. I.; Zelik, S. V.; Chepyzhov, V. V. 22 2010 Trajectory attractor for reaction-diffusion system with diffusion coefficient vanishing in time. Zbl 1194.35072 Chepyzhov, Vladimir V.; Vishik, Mark I. 12 2010 Averaging of 2D Navier-Stokes equations with singularly oscillating forces. Zbl 1170.35345 Chepyzhov, V. V.; Pata, V.; Vishik, M. I. 35 2009 Trajectory attractors of reaction-diffusion systems with small diffusion. Zbl 1178.35079 Vishik, M. I.; Chepyzhov, V. V. 2 2009 Averaging of nonautonomous damped wave equations with singularly oscillating external forces. Zbl 1234.35146 Chepyzhov, V. V.; Pata, V.; Vishik, M. I. 18 2008 Trajectory attractors for dissipative 2D Euler and Navier-Stokes equations. Zbl 1180.35420 Chepyzhov, V. V.; Vishik, M. I. 12 2008 Attractors for nonautonomous Navier-Stokes system and other partial differential equations. Zbl 1141.76018 Chepyzhov, Vladimir; Vishik, Mark 5 2008 Vladimir Gilelevich Maz’ya (to his 70th brithday). Zbl 1221.01098 Agranovich, M. S.; Burago, Yu D.; Vainberg, B. R.; Vishik, M. I.; Gindikin, S. G.; Kondrat’ev, V. A.; Maslov, V. P.; Poborchii, S. V.; Reshetnyak, Yu G.; Khavin, V. P.; Shubin, M. A. 1 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. 37 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. 25 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. 24 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. 3 2007 Attractors of dissipative hyperbolic equations with singularly oscillating external forces. Zbl 1124.37046 Vishik, M. I.; Chepyzhov, V. V. 10 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. 26 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. 16 2005 The nonautonomous Ginzburg-Landau equation and its attractors. Zbl 1105.35121 Vishik, M. I.; Chepyzhov, V. V. 9 2005 Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327 Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural’tseva, Nina; Vishik, Mark 3 2004 Quantitative homogenization of global attractors for reaction-diffusion systems with rapidly oscillating terms. Zbl 1135.35315 Fiedler, Bernold; Vishik, Mark I. 13 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. 13 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. 3 2003 Attractors for equations of mathematical physics. Zbl 0986.35001 Chepyzhov, V. V.; Vishik, M. I. 643 2002 Trajectory and global attractors of the three-dimensional Navier-Stokes system. Zbl 1130.37404 Vishik, M. I.; Chepyzhov, V. V. 66 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. 24 2002 Quantitative homogenization of global attractors for hyperbolic wave equations with rapidly oscillating coefficients. Zbl 1055.35025 Fiedler, B.; Vishik, M. I. 10 2002 Averaging of trajectory attractors of evolution equations with rapidly oscillating terms. Zbl 1011.35104 Vishik, M. I.; Chepyzhov, V. V. 34 2001 Quantitative homogenization of analytic semigroups and reaction-diffusion equations with Diophantine spatial frequencies. Zbl 1036.35022 Fiedler, Bernold; Vishik, Mark I. 11 2001 Averaging of trajectory attractors of evolution equations with rapidly oscillating coefficients. Zbl 1046.37046 Chepyzhov, V. V.; Vishik, M. I. 6 2001 Mikhail Semenovich Agranovich (on his 70th birthday). Zbl 1017.01503 Amosov, B. A.; Birman, M. S.; Vishik, M. I.; Volevich, L. R.; Gel’fand, I. M.; Friedlander, L. F.; Shubin, M. A. 2 2001 Regular attractor for a nonlinear elliptic system in a cylindrical domain. Zbl 0940.35085 Vishik, M. I.; Zelik, S. V. 7 1999 Perturbation of trajectory attractors for dissipative hyperbolic equations. Zbl 0938.35029 Chepyzhov, Vladimir V.; Vishik, Mark I. 1 1999 Traveling waves of dissipative nonautonomous hyperbolic equations in a strip. Zbl 0954.35033 Pata, Vittorino; Prouse, Giovanni; Vishik, Mark I. 15 1998 Kolmogorov \(\varepsilon\)-entropy estimates for the uniform attractors of non-autonomous reaction-diffusion systems. Zbl 0915.35056 Vishik, M. I.; Chepyzhov, V. V. 15 1998 Large patterns of elliptic systems in infinite cylinders. Zbl 0917.35011 Fiedler, Bernold; Scheel, Arnd; Vishik, Mark I. 11 1998 Evolution equations and their trajectory attractors. Zbl 0896.35032 Chepyzhov, Vladimir V.; Vishik, Mark I. 124 1997 Trajectory attractors for reaction-diffusion systems. Zbl 0894.35010 Chepyzhov, Vladimir V.; Vishik, Mark I. 35 1996 Trajectory attractors for the 2D Navier-Stokes system and some generalizations. Zbl 0894.35011 Chepyzhov, Vladimir V.; Vishik, Mark I. 11 1996 The trajectory attractor of a nonlinear elliptic system in a cylindrical domain. Zbl 0871.35016 Vishik, M. I.; Zelik, S. V. 7 1996 Local integral manifolds for a nonautonomous parabolic equation. Zbl 0921.35065 Goritskij, A. Yu.; Vishik, M. I. 2 1996 Trajectory attractors for evolution equations. Zbl 0843.35038 Chepyzhov, Vladimir V.; Vishik, Mark I. 29 1995 Non-autonomous evolutionary equations with translation-compact symbols and their attractors. Zbl 0837.35059 Chepyzhov, Vladimir V.; Vishik, Mark I. 17 1995 Attractors of non-autonomous evolution equations with translation-compact symbols. Zbl 0836.35062 Chepyzhov, V. V.; Vishik, M. I. 9 1995 Attractors of periodic processes and estimates of their dimension. Zbl 0841.35016 Vishik, M. I.; Chepyzhov, V. V. 6 1995 Attractors of non-autonomous dynamical systems and their dimension. Zbl 0838.58021 Chepyzhov, V. V.; Vishik, M. I. 123 1994 Periodic processes and non-autonomous evolution equations with time- periodic terms. Zbl 0820.47073 Chepyzhov, V. V.; Vishik, M. I. 3 1994 Stabilized asymptotics of solutions to reaction-diffusion systems with a small parameter. Zbl 0860.35010 Vishik, M. I.; Skvortzov, V. Yu. 1 1994 Attractors of non-autonomous partial differential equation and their dimension. Zbl 0811.58040 Vishik, Mark I.; Chepyzhov, Vladimir V. 1 1994 A Hausdorff dimension estimate for kernel sections of non-autonomous evolution equations. Zbl 0819.35073 Chepyzhov, V.; Vishik, Mark Iosifovich 26 1993 Nonautonomous evolution equations and their attractors. Zbl 0913.35055 Chepyzhov, Vladimir V.; Vishik, Mark I. 11 1993 Dimension estimates for attractors and for kernel sections of non-autonomous evolution equations. Zbl 0796.35065 Chepyzhov, Vladimir V.; Vishik, Mark I. 4 1993 Attractors for nonautonomous evolution equations with almost periodic symbols. Zbl 0770.35028 Chepyzhov, Vladimir V.; Vishik, Mark I. 2 1993 Families of semiprocesses and their attractors. Zbl 0896.58054 Chepyzhov, Vladimir V.; Vishik, Mark I. 1 1993 Attractors of evolution equations. Transl. from the Russian by A. V. Babin. Zbl 0778.58002 Babin, A. V.; Vishik, M. I. 668 1992 Asymptotic behaviour of solutions of evolutionary equations. Zbl 0797.35016 Vishik, M. I. 48 1992 Attractors of nonautonomous dynamical systems and an estimation of their dimension. Zbl 0866.35022 Vishik, M. I.; Chepyzhov, V. V. 3 1992 Properties of global attractors of partial differential equations. Zbl 0746.00021 1 1992 Non-autonomous evolution equations with almost periodic symbols. Zbl 0827.35013 Chepyzhov, Vladimir V.; Vishik, Mark I. 1 1992 Uniform finite-parameter asymptotics of solutions of nonlinear evolution equations. Zbl 0765.35023 Babin, A. V.; Vishik, M. I. 12 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. 166 1989 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. 27 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 Mathematical problems of statistical hydromechanics. Transl. from the Russian by D. A. Leites. Zbl 0688.35077 Vishik, M. I.; Fursikov, A. V. 113 1988 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 Perturbations of quasilinear elliptic equations and Fredholm manifolds. Zbl 0625.35029 Vishik, M. I.; Kuksin, S. B. 2 1987 Maximal attractors of semigroups corresponding to evolution differential equations. Zbl 0611.35033 Babin, A. V.; Vishik, M. I. 13 1986 Unstable invariant sets of semigroups of non-linear operators and their perturbations. Zbl 0624.47065 Babin, A. V.; Vishik, M. I. 12 1986 Mathematische Probleme der statistischen Hydromechanik. (Mathematical problems of statistical hydromechanics). Zbl 0626.35002 Višik, M. J.; Fursikov, A. V. 5 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 Quasilinear elliptic equations and Fredholm manifolds. Zbl 0599.35041 Vishik, M. I.; Kuksin, S. B. 4 1985 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. 76 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 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. 2 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 Strong solution of a two-dimensional stochastic Navier-Stokes system and the corresponding Kolmogorov equation. Zbl 0512.60050 Vishik, M. I.; Komech, A. I. 1 1982 Individual and statistical solutions of the two-dimensional Euler system. Zbl 0503.35075 Vishik, M. I.; Komech, A. I. 6 1981 Weak solutions of the inverse Kolmogorov equation corresponding to the stochastic Navier-Stokes system. Zbl 0491.60061 Vishik, M. I.; Komech, A. I. 1 1981 On a stochastic Navier-Stokes system and the corresponding Kolmogorov equations. Zbl 0513.35071 Vishik, M. I.; Komech, A. I. 1 1981 Mathematical problems of statistical hydromechanics. (Matematicheskie zadachi statisticheskoj gidromekhaniki). Zbl 0643.35005 Vishik, M. I.; Fursikov, A. V. 51 1980 Some mathematical problems of statistical hydromechanics. Zbl 0503.76045 Vishik, M. I.; Komech, A. I.; Fursikov, A. V. 37 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. 26 1979 Gewisse mathematische Probleme der statistischen Hydromechanik. Zbl 0495.76036 Vishik, M. I.; Komech, A. I.; Fursikov, A. V. 1 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. 4 1978 On Cauchy’s problem for infinite dimensional parabolic differential equations of second order. Zbl 0415.35040 Vishik, M. I.; Komech, A. I. 1 1978 Solutions statistiques homogenes des systèmes différentiels paraboliques et du système de Navier-Stokes. Zbl 0373.76055 Vishik, M. I.; Foursikov, A. V. 9 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. 8 1977 Infinite-dimensional parabolic equations connected with stochastic partial differential equations. Zbl 0389.60046 Vishik, M. I.; Komech, A. I. 3 1977 Homogene statistische Lösungen eines Navier-Stokesschen Systems. Zbl 0363.35033 Vishik, M. I.; Fursikov, A. V. 2 1977 Asymptotic expansion of moment functions of solutions of nonlinear parabolic equations. Zbl 0323.35046 Vishik, M. I.; Fursikov, A. V. 1 1976 Sobolev-Slobodeckii spaces of variable order with weighted norms and their applications to mixed elliptic boundary problems. Zbl 0351.35030 Vishik, M. I. 1 1976 Analytic first integrals of nonlinear parabolic equations and their applications. Zbl 0297.35041 Vishik, M. I.; Fursikov, A. V. 3 1974 ...and 56 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,274 Authors 100 Nazarov, Sergeĭ Aleksandrovich 60 Zelik, Sergey V. 51 Caraballo Garrido, Tomás 49 Zhou, Shengfan 48 Langa, Jose’ Antonio 48 Zhao, Caidi 42 Zhong, Chengkui 41 Valero, José 40 Chepyzhov, Vladimir V. 40 Kapustyan, Oleksiy V. 40 Wang, Bixiang 38 Miranville, Alain M. 37 Nolasco de Carvalho, Alexandre 35 Sun, Chunyou 33 Kloeden, Peter Eris 31 Chueshov, Igor’ Dmitrievich 30 Kasyanov, Pavlo O. 28 Vishik, Marko Iosifovich 27 Temam, Roger Meyer 26 Pata, Vittorino 24 Robinson, James Cooper 24 You, Yuncheng 23 Yang, Zhijian 21 Guo, Boling 20 Qin, Yuming 19 Schulze, Bert-Wolfgang 19 Wang, Yejuan 18 Cui, Hongyong 18 Freitas, Mirelson M. 18 Ilyin, Aleksei A. 18 Łukaszewicz, Grzegorz 18 Xie, Yongqin 18 You, Bo 17 Fiedler, Bernold 16 Babin, Anatoli V. 16 Conti, Monica C. 16 Efendiev, Messoud 16 Kalantarov, Varga K. 16 Kostianko, Anna 16 Rocha, Carlos 16 Yang, Meihua 15 Chechkin, Gregory Aleksandrovich 15 Duan, Jinqiao 15 Grasselli, Maurizio 15 Lasiecka, Irena 15 Li, Yangrong 15 Marín-Rubio, Pedro 14 Cung The Anh 14 Hale, Jack Kenneth 14 Li, Desheng 14 Ma, Qiaozhen 14 Ma, To Fu 14 Mohan, Manil Thankamani 14 Wang, Xiaoming 14 Yang, Xinguang 14 Zvyagin, Viktor Grigor’evich 13 Abdallah, Ahmed Y. 13 Cholewa, Jan W. 13 Feireisl, Eduard 13 Gorban, Nataliia V. 13 Kalita, Piotr 13 Komech, Alexander Ilich 13 Li, Fang 13 Meng, Fengjuan 13 Raugel, Geneviève 13 Rodríguez-Bernal, Aníbal 13 Schmalfuß, Björn 13 Shirikyan, Armen R. 13 Titi, Edriss Saleh 13 Zhu, Kaixuan 12 Arrieta, José M. 12 Foiaș, Ciprian 12 Gal, Ciprian Gheorghe Sorin 12 Ramos, Anderson J. A. 12 Xin, Jie 12 Zgurovsky, Mikhail Z. 11 Bortolan, Matheus Cheque 11 Faierman, Melvin 11 Jung, Changyeol 11 Lu, Kening 11 Nascimento, Marcelo Jose Dias 11 Real Anguas, José 11 Solonnikov, Vsevolod Alekseevich 10 Brzeźniak, Zdzisław 10 Li, Yongsheng 10 Los, Valerii M. 10 Ma, Shan 10 O’Malley, Robert E. jun. 10 Rezunenko, Oleksandr V”yacheslavovych 10 Rosa, Ricardo M. S. 10 Taskinen, Jari 9 Baev, Aleksandr Dmitrievich 9 Bekmaganbetov, Kuanysh Abdrakhmanovich 9 Bezerra, Flank David Morais 9 Bonotto, Everaldo M. 9 Denk, Robert 9 Deugoue, Gabriel 9 Ding, Pengyan 9 Dudnikova, Tat’yana V. 9 Flandoli, Franco ...and 2,174 more Authors all top 5 Cited in 364 Serials 174 Journal of Differential Equations 154 Journal of Mathematical Analysis and Applications 127 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 108 Journal of Mathematical Sciences (New York) 92 Discrete and Continuous Dynamical Systems. 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