Attractors for strongly damped wave equations with nonlinear hyperbolic dynamic boundary conditions

DOI10.1088/0951-7715/29/4/1171zbMath1379.35033arXiv1507.07971OpenAlexW2242792387MaRDI QIDQ2805232

P. Jameson Graber, Joseph L. Shomberg

Publication date: 10 May 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07971

zbMATH Keywords

global attractorfinite fractal dimensionweak exponential attractor

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) PDEs in connection with mechanics of deformable solids (35Q74) Second-order semilinear hyperbolic equations (35L71)

Related Items (7)

Longtime behavior of the semilinear wave equation with gentle dissipation ⋮ A generalized finite element method for the strongly damped wave equation with rapidly varying data ⋮ Weak exponential attractors for Coleman-Gurtin equations with dynamic boundary conditions possessing different memory kernels ⋮ Regular Global Attractors for Wave Equations with Degenerate Memory ⋮ GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR STRONGLY DAMPED WAVE EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS AND BALANCED POTENTIALS ⋮ Regularization of initial inverse problem for strongly damped wave equation ⋮ On a logarithmic wave equation with nonlinear dynamical boundary conditions: local existence and blow-up

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