Robust exponential attractors for the strongly damped wave equation with memory. I.

DOI10.1134/S1061920808030014zbMath1183.35051MaRDI QIDQ1033789

Vittorino Pata, Francesco Di Plinio

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

nonlinear wave equationexponential attractorsdamped wave equation with memorytime independent source

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (12)

Asymptotic profiles and singular limits for the viscoelastic damped wave equation with memory of type I ⋮ Exponential attractors for the strongly damped wave equations ⋮ Robustness of exponentially \(\kappa\)-dissipative dynamical systems with perturbations ⋮ Robustness of exponential attractors for infinite dimensional dynamical systems with small delay and application to 2D nonlocal diffusion delay lattice systems ⋮ Robust exponential attractors for a class of non-autonomous semi-linear second-order evolution equation with memory and critical nonlinearity ⋮ Attractors for Navier-Stokes equation with fractional operator in the memory term ⋮ Invariant measures for dissipative dynamical systems: abstract results and applications ⋮ Asymptotic behavior for a semilinear second order evolution equation ⋮ Robust exponential attractors for the strongly damped wave equation with memory. II. ⋮ Asymptotic regularity for some dissipative equations ⋮ Time-dependent global attractors for strongly damped wave equations with time-dependent memory kernels ⋮ Exponential attractors for abstract equations with memory and applications to viscoelasticity

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