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Attractors for some nonlinear problems of mathematical physics. (Russian) 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:
35G20General theory of nonlinear higher-order PDE
37C70Attractors and repellers, topological structure
35Q99PDE of mathematical physics and other areas
35Q30Stokes and Navier-Stokes equations
35L70Nonlinear second-order hyperbolic equations
35K70Ultraparabolic equations, pseudoparabolic equations, etc.
35B40Asymptotic behavior of solutions of PDE