Time averaging of global attractors for nonautonomous wave equations with singularly oscillating external forces

DOI10.1134/S1064562408050128zbMath1182.35046OpenAlexW1989448458MaRDI QIDQ1048493

Mark I. Vishik, Vladimir V. Chepyzhov, Vittorino Pata

Publication date: 12 January 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562408050128

zbMATH Keywords

Dirichlet boundary conditionsdissipative wave equation

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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• Attractors of dissipative hyperbolic equations with singularly oscillating external forces
• Averaging in infinite dimensions
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• Global averaging and parametric resonances in damped semilinear wave equations
• Averaging principle for dissipative dynamical systems with rapidly oscillating right-hand sides
• Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems

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