Longtime behavior of the semilinear wave equation with gentle dissipation
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Publication:325272
DOI10.3934/dcds.2016084zbMath1362.35191OpenAlexW2510132818MaRDI QIDQ325272
Zhijian Yang, Na Feng, Zhi-Ming Liu
Publication date: 18 October 2016
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2016084
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Critical exponents in context of PDEs (35B33) Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71)
Related Items (14)
Attractors and their stability on Boussinesq type equations with gentle dissipation ⋮ Regular attractor of the β-evolution equation with fractional damping on Rn ⋮ The existence of time-dependent attractor for wave equation with fractional damping and lower regular forcing term ⋮ Longtime dynamics of Boussinesq type equations with fractional damping ⋮ Upper semicontinuity of global attractors for a family of semilinear wave equations with gentle dissipation ⋮ Global attractor of the quasi-linear wave equation with strong damping ⋮ Longtime dynamics of the quasi-linear wave equations with structural damping and supercritical nonlinearities ⋮ Stability of exponential attractors for a family of semilinear wave equations with gentle dissipation ⋮ Stability of strong attractors for the extensible beam equation with gentle dissipation ⋮ Global attractor for a strongly damped wave equation with fully supercritical nonlinearities ⋮ Global attractor of multi-valued operators with applications to a strongly damped nonlinear wave equation without uniqueness ⋮ Strong attractors and their continuity for the semilinear wave equations with fractional damping ⋮ Trajectory statistical solutions and Liouville type theorem for nonlinear wave equations with polynomial growth ⋮ Well-posedness of solutions for a class of quasilinear wave equations with structural damping or strong damping
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