One-dimensional global attractor for strongly damped wave equations

DOI10.1016/j.cnsns.2005.06.007zbMath1111.35088OpenAlexW2064821984MaRDI QIDQ868079

Hong-Yan Li, Shengfan Zhou

Publication date: 19 February 2007

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2005.06.007

zbMATH Keywords

wave equationglobal attractorlimit sethorizontal curve

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30)

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Random attractor of the stochastic strongly damped wave equation ⋮ RANDOM ATTRACTOR FOR NON-AUTONOMOUS STOCHASTIC STRONGLY DAMPED WAVE EQUATION ON UNBOUNDED DOMAINS ⋮ Finite fractal dimension of random attractor for stochastic non-autonomous strongly damped wave equation ⋮ Existence of random attractors for strongly damped wave equations with multiplicative noise unbounded domain ⋮ The existence of global attractors for a system of multi-dimensional symmetric regularized wave equations

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Infinite-dimensional dynamical systems in mechanics and physics
• One-dimensional global attractor for the damped and driven sine-Gordon equation
• Longtime Behaviour of Strongly Damped Wave Equations, Global Attractors and Their Dimension
• Unnamed Item