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Strong solutions and the attractor of a system of Kárman equations. (Russian) Zbl 0707.35085
An evolutionary system of von Kármán equations modelling nonlinear vibrations of a shell in a gas flow is considered. Existence of global solutions is established. Then the dynamical system defined by the solutions is examined. It is proved that if the damping in the equation is sufficiently large, then this dynamical system is dissipative and has a global attractor of finite Hausdorff dimension.
Reviewer: P.Polacik

35L35 Initial-boundary value problems for higher-order hyperbolic equations
35B40 Asymptotic behavior of solutions to PDEs
74H45 Vibrations in dynamical problems in solid mechanics
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