Global attractor for a strongly damped wave equation with fully supercritical nonlinearities

DOI10.3934/dcds.2017094zbMath1373.35055OpenAlexW2572431143MaRDI QIDQ525585

Zhijian Yang, Zhi-Ming Liu

Publication date: 5 May 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017094

zbMATH Keywords

generalized semiflowsubclass of limit solutions

Mathematics Subject Classification ID

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) Higher-order semilinear hyperbolic equations (35L76)

Related Items (6)

Continuity of dynamical behaviors for strongly damped wave equations with perturbation ⋮ Complete regularity and strong attractor for the strongly damped wave equation with critical nonlinearities on \(\mathbb{R}^3\) ⋮ Analysis of finite difference schemes for a fourth-order strongly damped nonlinear wave equations ⋮ Global attractor of multi-valued operators with applications to a strongly damped nonlinear wave equation without uniqueness ⋮ Stability of attractors for the Kirchhoff wave equation with strong damping and critical nonlinearities ⋮ Global well-posedness of a class of fourth-order strongly damped nonlinear wave equations

Cites Work

• Unnamed Item
• Unnamed Item
• Attractors for damped quintic wave equations in bounded domains
• Longtime behavior of the semilinear wave equation with gentle dissipation
• Upper semicontinuity of pullback attractors for nonautonomous Kirchhoff wave models
• Strongly damped wave equations with critical nonlinearities
• Dynamics of second order in time evolution equations with state-dependent delay
• Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
• Damped wave equations with fast growing dissipative nonlinearities
• Finite-dimensional attractors for the quasi-linear strongly-damped wave equation
• Compact sets in the space \(L^ p(0,T;B)\)
• Dimension of the global attractor for strongly damped nonlinear wave equation
• Infinite-dimensional dynamical systems in mechanics and physics.
• Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
• Evolution equations and their trajectory attractors
• Global attractors for damped semilinear wave equations.
• On the strongly damped wave equation
• Kernel sections for non-autonomous strongly damped wave equations.
• Attractors for strongly damped wave equations with critical nonlinearities.
• Asymptotic regularity of solutions of singularly perturbed damped wave equations with supercritical nonlinearities
• Global attractors for strongly damped wave equations with subcritical-critical nonlinearities
• Global attractor for the generalized double dispersion equation
• Strichartz estimates and smooth attractors for a sub-quintic wave equation with fractional damping in bounded domains
• Global periodic attractor for strongly damped and driven wave equations
• On non-autonomous strongly damped wave equations with a uniform attractor and some averaging
• Exponential attractor for the wave equation with structural damping and supercritical exponent
• Long-term analysis of strongly damped nonlinear wave equations
• Long-time behavior of second order evolution equations with nonlinear damping
• A unified procedure for construction of theories of deformable media. I. Classical continuum physics
• Recent progress in attractors for quintic wave equations

This page was built for publication: Global attractor for a strongly damped wave equation with fully supercritical nonlinearities