Attractors of dissipative hyperbolic equations with singularly oscillating external forces

DOI10.1007/s11006-006-0054-2zbMath1124.37046OpenAlexW2010326236MaRDI QIDQ881026

Mark I. Vishik, Vladimir V. Chepyzhov

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0054-2

zbMATH Keywords

sine-Gordon equationabsorbing setdissipative hyperbolic equation, global attractorsingularly oscillating external force

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Wave equation (35L05) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (10)

Non-autonomous 2D Newton-Boussinesq equation with oscillating external forces and its uniform attractor ⋮ ``Strange term in homogenization of attractors of reaction-diffusion equation in perforated domain ⋮ Averaging of equations of viscoelasticity with singularly oscillating external forces ⋮ Attractors for Nonautonomous Navier–Stokes System and Other Partial Differential Equations ⋮ Weak convergence of attractors of reaction–diffusion systems with randomly oscillating coefficients ⋮ Homogenization of trajectory attractors of 3D Navier-Stokes system with randomly oscillating force ⋮ Averaging of nonautonomous damped wave equations with singularly oscillating external forces ⋮ Strong convergence of trajectory attractors for reaction-diffusion systems with random rapidly oscillating terms ⋮ Dynamical behaviour of non-autonomous 2D Navier–Stokes equations with singularly oscillating external force ⋮ Time averaging of global attractors for nonautonomous wave equations with singularly oscillating external forces

Cites Work

• Integral manifolds and attractors with exponential rate for nonautonomous hyperbolic equations with dissipation
• Averaging in infinite dimensions
• Infinite-dimensional dynamical systems in mechanics and physics.
• Global attractors for damped semilinear wave equations.
• On non-autonomous sine-Gordon type equations with a simple global attractor and some averaging
• Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homo\-genization.
• Averaging of trajectory attractors of evolution equations with rapidly oscillating terms
• A priori estimates and smoothness of solutions of a system of quasi-linear equations that is elliptic in the Douglis-Nirenberg sense
• Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems
• Approximation of trajectories lying on a global attractor of a hyperbolic equation with exterior force rapidly oscillating in time
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