Asymptotic behavior of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity

DOI10.3934/eect.2022025zbMath1504.35084arXiv2108.07395OpenAlexW4285124537MaRDI QIDQ2106048

Chunyan Zhao, Zhijun Tang, Cheng-Kui Zhong

Publication date: 8 December 2022

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.07395

zbMATH Keywords

global attractorcritical nonlinearitynonlocal weak dampingnonlocal weak anti-damping

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

Global attractor for a coupled wave and plate equation with nonlocal weak damping on Riemannian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Longtime dynamics of the Kirchhoff equations with fractional damping and supercritical nonlinearity
• Attractors and their properties for a class of nonlocal extensible beams
• Dynamics of quasi-stable dissipative systems
• Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
• Damped wave equations with fast growing dissipative nonlinearities
• Global attractors for wave equations with nonlinear interior damping and critical exponents
• Global solutions for a nonlinear wave equation
• Attractors for damped nonlinear hyperbolic equations
• Compact sets in the space \(L^ p(0,T;B)\)
• Finite-dimensional asymptotic behavior of some semilinear damped hyperbolic problems
• Global attractors for semilinear damped wave equations with supercritical exponent
• Infinite-dimensional dynamical systems in mechanics and physics.
• On the damped semilinear wave equation with critical exponent
• Global attractors for damped semilinear wave equations.
• Global attractor of the Kirchhoff wave models with strong nonlinear damping
• On the strongly damped wave equation
• Attractors for strongly damped wave equations with critical nonlinearities.
• Rates of decay of a nonlocal beam equation
• Asymptotic behaviour of the wave equation with nonlocal weak damping and anti-damping
• The global attractor for a class of extensible beams with nonlocal weak damping
• Optimal attractors of the Kirchhoff wave model with structural nonlinear damping
• On a beam model related to flight structures with nonlocal energy damping
• Exponential stability for the wave equation with degenerate nonlocal weak damping
• Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping
• Global attractors for von Kármán equations with nonlinear interior dissipation
• Global attractors for the wave equation with nonlinear damping
• Exponential attractor for the wave equation with structural damping and supercritical exponent
• Smooth attractors for strongly damped wave equations
• Long-time behavior of second order evolution equations with nonlinear damping
• Von Karman Evolution Equations
• Longtime Behaviour of Strongly Damped Wave Equations, Global Attractors and Their Dimension
• A damped hyerbolic equation with critical exponent
• Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
• ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
• Functional differential equations
• Attractors for semilinear strongly damped wave equations on \(\mathbb{R}^3\).

This page was built for publication: Asymptotic behavior of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity