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Zbl 0621.35022
Kalantarov, V.K.
Attractors for some nonlinear problems of mathematical physics.
(Russian. English summary)
[J] Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 152, 50-54 (1986). ISSN 0373-2703

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 2000:
*35G20 General theory of nonlinear higher-order PDE
37C70 Attractors and repellers, topological structure
35Q99 PDE of mathematical physics and other areas
35Q30 Stokes and Navier-Stokes equations
35L70 Second order nonlinear hyperbolic equations
35K70 Ultraparabolic (etc.) problems
35B40 Asymptotic behavior of solutions of PDE

Keywords: existence; compact global attractors; Navier-Stokes-Voigt equations; pseudoparabolic equations; quasilinear wave equation; strong dissipative term

Cited in: Zbl 0645.35011

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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