Finite-dimensional asymptotic behavior of some semilinear damped hyperbolic problems

DOI10.1007/BF02219186zbMath0795.35065OpenAlexW2011429304WikidataQ59316830 ScholiaQ59316830MaRDI QIDQ1319923

Eduard Feireisl

Publication date: 14 September 1994

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02219186

zbMATH Keywords

global attractorsemilinear hyperbolic equationfinite-dimensional inertial set

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (10)

Global attractors for wave equations with nonlinear interior damping and critical exponents ⋮ Large-time behavior of solutions to degenerate damped hyperbolic equations ⋮ Asymptotic behaviour of the wave equation with nonlocal weak damping and anti-damping ⋮ Multiple equilibrium points in global attractor for the weakly damped wave equation with critical exponent ⋮ Finite dimensionality and regularity of attractors for a 2-D semilinear wave equation with nonlinear dissipation ⋮ Attractors for second-order evolution equations with a nonlinear damping ⋮ Global attractors for the wave equation with nonlinear damping ⋮ The global attractor for the wave equation with nonlocal strong damping ⋮ Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent ⋮ Asymptotic behavior of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity

Cites Work

• Attractors for damped nonlinear hyperbolic equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Finite dimensional exponential attractors for semilinear wave equations with damping
• Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent
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