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Attractors for some nonlinear problems of mathematical physics. (Russian. English summary) Zbl 0621.35022

The existence of compact global attractors for Navier-Stokes-Voigt equations, for pseudoparabolic equations and for quasilinear wave equation with a strong dissipative term is proved.

MSC:

35G20 Nonlinear higher-order PDEs
37C70 Attractors and repellers of smooth dynamical systems and their topological structure
35Q99 Partial differential equations of mathematical physics and other areas of application
35Q30 Navier-Stokes equations
35L70 Second-order nonlinear hyperbolic equations
35K70 Ultraparabolic equations, pseudoparabolic equations, etc.
35B40 Asymptotic behavior of solutions to PDEs
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