Marko Iosifovich Vishik
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Mathematics
Marko Iosifovich Vishik's Degrees
- PhD Mathematics Moscow State University
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(Suggest an Edit or Addition)Marko Iosifovich Vishik's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Attractors of Evolution Equations (1992) (1321)
- Attractors for Equations of Mathematical Physics (2001) (1058)
- ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE (1964) (643)
- Mathematical Problems of Statistical Hydromechanics (1988) (360)
- Attractors of non-autonomous dynamical systems and their dimension (1994) (257)
- Evolution equations and their trajectory attractors (1997) (247)
- Attractors of partial differential evolution equations in an unbounded domain (1990) (220)
- THE SOLUTION OF SOME PERTURBATION PROBLEMS FOR MATRICES AND SELFADJOINT OR NON-SELFADJOINT DIFFERENTIAL EQUATIONS I (1960) (151)
- Attractors of partial differential evolution equations and estimates of their dimension (1983) (144)
- Trajectory and Global Attractors of Three-Dimensional Navier--Stokes Systems (2002) (100)
- Asymptotic Behaviour of Solutions of Evolutionary Equations (1993) (92)
- Trajectory attractors for evolution equations (1995) (78)
- Trajectory attractors for reaction-diffusion systems (1996) (76)
- SOME MATHEMATICAL PROBLEMS OF STATISTICAL HYROMECHANICS (1979) (72)
- MAXIMAL ATTRACTORS OF SEMIGROUPS CORRESPONDING TO EVOLUTION DIFFERENTIAL EQUATIONS (1986) (69)
- On the convergence of solutions of the Leray-$\alpha $ model to the trajectory attractor of the 3D Navier-Stokes system (2006) (61)
- Some unsolved problems in the theory of differential equations and mathematical physics (1989) (58)
- ON NON{AUTONOMOUS SINE{GORDON TYPE EQUATIONS WITH A SIMPLE GLOBAL ATTRACTOR AND SOME AVERAGING (2004) (52)
- Trajectory attractors of equations of mathematical physics (2011) (51)
- Translationally homogeneous statistical solutions and individual solutions with infinite energy of a system of Navier-Stokes equations (1978) (47)
- Spectrum of small oscillations of an ideal fluid and Lyapunov exponents (1996) (47)
- Unstable invariant sets of semigroups of non-linear operators and their perturbations (1986) (46)
- Non-autonomous evolutionary equations with translation-compact symbols and their attractors (1995) (43)
- Averaging of trajectory attractors of evolution equations with rapidly oscillating terms (2001) (43)
- ELLIPTIC EQUATIONS IN CONVOLUTION IN A BOUNDED DOMAIN AND THEIR APPLICATIONS (1967) (40)
- Strong trajectory attractors for dissipative Euler equations (2011) (40)
- Strong trajectory attractor for a dissipative reaction-diffusion system (2010) (37)
- NON-AUTONOMOUS 2D NAVIER{STOKES SYSTEM WITH A SIMPLE GLOBAL ATTRACTOR AND SOME AVERAGING PROBLEMS (2002) (36)
- THE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH LARGE OR QUICKLY CHANGING COEFFICIENTS AND BOUNDARY CONDITIONS (1960) (36)
- On convergence of trajectory attractors of the 3D Navier-Stokes-α model as α approaches 0 (2007) (35)
- EQUATIONS IN CONVOLUTIONS IN A BOUNDED REGION (1965) (35)
- Traveling waves of dissipative nonautonomous hyperbolic equations in a strip (1998) (32)
- Trajectory attractor approximation of the 3D Navier-Stokes system by a Leray-α model (2005) (32)
- Averaging of nonautonomous damped wave equations with singularly oscillating external forces (2008) (29)
- Trajectory attractors for the 2D Navier-Stokes system and some generalizations (1996) (28)
- Quantitative homogenization of analytic semigroups and reaction-diffusion equations with Diophantine spatial frequencies (2001) (28)
- Large patterns of elliptic systems in infinite cylinders (1998) (27)
- Quantitative homogenization of global attractors for reaction-diffusion systems with rapidly oscillating terms (2003) (26)
- Quantitative homogenization of global attractors for hyperbolic wave equations with rapidly oscillating coefficients (2002) (24)
- Trajectory attractors for dissipative 2D Euler and Navier-Stokes equations (2008) (23)
- Regular attractors and nonautonomous perturbations of them (2013) (22)
- TRAJECTORY ATTRACTOR FOR REACTION-DIFFUSION SYSTEM WITH DIFFUSION COEFFICIENT VANISHING IN TIME (2010) (19)
- Uniform finite-parameter asymptotics of solutions of nonlinear evolutionary equations (1989) (18)
- The trajectory attractor of a non-linear elliptic system in a cylindrical domain (1996) (18)
- Attractors of Non-Autonomous Evolution Equations with Translation-Compact Symbols (1995) (17)
- Non-autonomous Ginzburg-Landau equation and its attractors (2005) (17)
- Non-autonomous evolution equations and their attractors (2000) (16)
- Variable order Sobolev-Slobodetskii spaces with weighted norms and their application to mixed boundary value problems (1968) (15)
- Attractors of periodic processes and estimates of their dimension (1995) (14)
- Regular attractor for a non-linear elliptic system in a cylindrical domain (1999) (13)
- Attractors of Navier-Stokes systems and of parabolic equations, and estimates for their dimensions (1985) (13)
- Approximation of trajectories lying on a global attractor of a hyperbolic equation with exterior force rapidly oscillating in time (2003) (13)
- Dimension estimates for attractors and for kernel sections of non-autonomous evolution equations (1993) (13)
- Kolmogorov $ \varepsilon$-entropy estimates for the uniform attractors of non-autonomous reaction-diffusion systems (1998) (12)
- Attractors of dissipative hyperbolic equations with singularly oscillating external forces (2006) (12)
- Periodic processes and non-autonomous evolution equations with time-periodic terms (1994) (11)
- Dimension of attractors (2001) (11)
- Non-autonomous dynamical systems and their attractors (1993) (11)
- Attractors of nonautonomous dynamical systems and an estimation of their dimension (1992) (10)
- Analytic first integrals of non-linear parabolic systems of differential equations in the sense of Petrovskii, and applications (1974) (10)
- PERTURBATIONS OF QUASILINEAR ELLIPTIC EQUATIONS AND FREDHOLM MANIFOLDS (1987) (9)
- Perturbation of trajectory attractors for dissipative hyperbolic equations (1999) (9)
- COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Existence of and an estimate for the dimension of attractors in quasilinear parabolic equations, and Navier-Stokes systems (1982) (9)
- THE PARAMETRIX OF ELLIPTIC OPERATORS WITH INFINITELY MANY INDEPENDENT VARIABLES (1971) (8)
- Trajectory attractors of reaction-diffusion systems with small diffusion (2009) (8)
- LAZAR' ARONOVICH LYUSTERNIK (on the occasion of his seventieth birthday) (1970) (7)
- Upper and lower estimates for the dimension of attractors of partial differential evolution equations (1983) (7)
- Spectral and stabilized asymptotic behaviour of solutions of non-linear evolution equations (1988) (6)
- Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit (2011) (6)
- Attractors for nonautonomous Navier–Stokes system and other partial differential equations (2008) (6)
- Attractors for nonautonomous evolution equations with almost periodic symbols (1993) (6)
- IZRAIL' MOISEEVICH GELFAND (on his fiftieth birthday) (1964) (5)
- Semigroups dependent on a parameter, their attractors and asymptotic behaviour (1990) (5)
- Non-autonomous evolution equations with almost periodic symbols (1992) (5)
- DEGENERATING ELLIPTIC DIFFERENTIAL AND PSEUDO-DIFFERENTIAL OPERATORS (1970) (5)
- Quasilinear elliptic equations and Fredholm manifolds (1985) (5)
- Families of semiprocesses and their attractors (1993) (4)
- ON UNSTABLE SETS OF EVOLUTION EQUATIONS IN THE NEIGHBORHOOD OF CRITICAL POINTS OF A STATIONARY CURVE (1988) (4)
- Kolmogorov ε-Entropy in the Problems on Global Attractors for Evolution Equations of Mathematical Physics (2003) (3)
- LAZAR' ARONOVICH LYUSTERNIK (on his eightieth birthday) (1980) (3)
- The global attractor of the nonautonomous 2D navier-stokes system with singularly oscillating external force (2007) (3)
- Evgenii Mikhailovich Landis (on his sixtieth birthday) (1983) (3)
- Attractors of singularly perturbed parabolic equations, and asymptotic behavior of their elements (1992) (3)
- Strong solutions of a two-dimensional stochastic Navier-Stokes system and corresponding Kolmogorov equations (in Russian) (1982) (3)
- LAZAR' ARONOVICH LYUSTERNIK (on the occasion of his 60th birthday) (1960) (3)
- REGULAR BOUNDARY VALUE PROBLEMS FOR ELLIPTIC DIFFERENTIAL-OPERATOR EQUATIONS OF THE FOURTH ORDER IN UMD BANACH SPACES (2009) (3)
- ASYMPTOTICS OF THE ELEMENTS OF ATTRACTORS CORRESPONDING TO SINGULARLY PERTURBED PARABOLIC EQUATIONS (1993) (3)
- Vladimir A. Borovikov December 25, 1932–July 6, 2008 (2009) (2)
- MATHEMATICAL EVENTS IN THE USSR: Ol'ga Arsen'evna Oleinik (on her sixtieth birthday) (1995) (2)
- IL'YA NESTOROVICH VEKUA (on his seventieth birthday) (1977) (2)
- Mikhail Semenovich Agranovich (on his 70th birthday) (2001) (2)
- Quantitative homogenization of global attractors for hyperbolic wave equations with rapidly oscillating terms (2004) (2)
- Yaroslav Borisovich Lopatinskii (obituary) (1982) (2)
- Weak solutions of the inverse Kolmogorov equation corresponding to the stochastic Navier-Stokes system (1981) (2)
- MATHEMATICAL LIFE: Vladimir Gilelevich Maz'ya (to his 70th brithday) (2008) (1)
- An estimate for the mean square of the difference of velocities for homogeneous statistical solutions of the three-dimensional Navier-Stokes system (1989) (1)
- Sergei Mikhailovich Kozlov (obituary) (1996) (1)
- Ivan Il'ich Danilyuk (obituary) (1989) (1)
- Stabilized Asymptotics of solutions to reaction-diffusion systems with a small parameter (1995) (1)
- Trajectory attractor of the nonautonomous Ginzburg-Landau equation (2005) (1)
- Boris Vasil'evich Fedosov (obituary) (2012) (1)
- The Cauchy problem for nonlinear Schrödinger-type equations”, Russian Acad (1975) (1)
- On the non-degenerate solutions of quasi-linear elliptic boundary value problems (1986) (0)
- Kernels of processes (2001) (0)
- Translation compact functions (2001) (0)
- Leonid Romanovich Volevich (obituary) (2007) (0)
- Time averaging of global attractors for nonautonomous wave equations with singularly oscillating external forces (2008) (0)
- Yurii Vladimirovich Egorov (on his 60th birthday) (1999) (0)
- Trajectory attractors of non-autonomous equations (2001) (0)
- Kolmogorov -entropy of attractors (2001) (0)
- Semiprocesses and attractors (2001) (0)
- Generalized solutions of inverse Kolmogorov equation corresponding to stochastic Navier-Stokes system (1986) (0)
- Attractors in Hausdorff spaces (2001) (0)
- Averaging of attractors of evolution equations with rapidly oscillating terms (2001) (0)
- REGULAR ATTRACTORS AND THEIRNONAUTONOMOUS (2007) (0)
- Variation of the instability index on stationary curves of elliptic equations depending on a parameter (1989) (0)
- Asymptotic behaviour of solutions of evolutionary equations: Introduction (1993) (0)
- Perturbation of trajectory attractors (2001) (0)
- Asymptotics of solutions of singular perturbed evolutionary equations (1993) (0)
- Olga Arsenievna Oleinik (on her 70th birthday) (1997) (0)
- Andrei Vasil'evich Bitsadze (on his seventieth birthday) (1987) (0)
- Partial differential equations : Mark Vishik's seminar (2002) (0)
- Proofs of Theorems II.1.4 and II.1.5 (2001) (0)
- Trajectory attractor for a reaction-diffusion system with a small diffusion coefficient (2009) (0)
- Aleksandr Ivanovich Koshelev (on his sixtieth birthday) (1987) (0)
- Trajectory attractors of autonomous ordinary differential equations (2001) (0)
- Attractors of non-autonomous partial differential equations (2001) (0)
- Properties of global attractors of partial differential equations (1992) (0)
- Asymptotic behaviour of solutions of evolutionary equations: Local spectral asymptotics (1993) (0)
- Approximation of trajectory attractors (2001) (0)
- Asymptotics of elements lying on the attractor of solutions of the perturbed evolutionary equations (1993) (0)
- ESTIMATE FOR A SOLUTION TO THE WATER WAVE PROBLEM IN THE PRESENCE OF A SUBMERGED BODY (2013) (0)
- Attractors of the Navier-Stokes system and of parabolic equations, and the estimation of their dimensionality (1982) (0)
- Attractors of autonomous ordinary differential equations (2001) (0)
- Trajectory attractors of non-autonomous partial differential equations (2001) (0)
- HOMOGENEOUS STATISTICAL SOLUTIONS AND INDIVIDUAL SOLUTIONS WITH INFINITE ENERGY OF A SYSTEM OF NAVIER- STOKES EQUATIONS (1978) (0)
- Trajectory attractor of a reaction-diffusion system with a series of zero diffusion coefficients (2009) (0)
- Asymptotic behaviour of solutions of evolutionary equations: Uniform approximation of trajectories of semigroups depending on a parameter (1993) (0)
- Processes and attractors (2001) (0)
- POSITIVE SOLUTIONS OF LINEAR QUASIELLIPTIC EVOLUTION EQUATIONS (2017) (0)
- Trajectory attractor for a system of two reaction-diffusion equations with diffusion coefficient δ(t) → 0+ as t → + ∞ (2010) (0)
- Trajectory attractor for the 2d dissipative Euler equations and its relation to the Navier-Stokes system with vanishing viscosity (2007) (0)
- Lattices and coverings (2001) (0)
- Dimensionality of attractors of the Navier-Stokes system and other evolutionary equations (1983) (0)
- Microlocal properties of the problem with a singular oblique derivative in a neighbourhood of (2016) (0)
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