Regularity of the attractor for strongly damped wave equations with nonlinearity

DOI10.1186/1029-242X-2014-396zbMath1371.35009OpenAlexW2114697331WikidataQ59324565 ScholiaQ59324565MaRDI QIDQ2405702

Hong-Yan Li

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-396

zbMATH Keywords

global attractorcompact setstrongly damped wave equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Ordinary differential equations of infinite order (34A35)

Related Items

FEM-IDS for a second order strongly damped wave equation with memory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A non-autonomous strongly damped wave equation: existence and continuity of the pullback attractor
• Regularity of the attractor for symmetric regularized wave equation
• Semigroups of linear operators and applications to partial differential equations
• Finite dimensional exponential attractors for semilinear wave equations with damping
• Global attractors for semilinear damped wave equations with supercritical exponent
• Infinite-dimensional dynamical systems in mechanics and physics.
• Global attractors for damped semilinear wave equations.
• Attractors for second-order evolution equations with a nonlinear damping
• Limiting behavior of strongly damped nonlinear wave equations
• A remark on the damped wave equation
• Global attractors for the wave equation with nonlinear damping
• Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
• Smooth attractors for strongly damped wave equations
• Just-in-time control of time-varying discrete event dynamic systems in (max,+) algebra
• Longtime Behaviour of Strongly Damped Wave Equations, Global Attractors and Their Dimension
• A damped hyerbolic equation with critical exponent
• Dimension of the global attractor for damped nonlinear wave equations
• Global periodic attractor for strongly damped wave equations with time-periodic driving force
• Uniform Attractors for Nonautonomous Wave Equations with Nonlinear Damping