Asymptotic behavior of solutions to a nonlinear plate equation with memory

DOI10.3934/cpaa.2017027zbMath1356.35050OpenAlexW2578229335MaRDI QIDQ507299

Yongqin Liu

Publication date: 3 February 2017

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2017027

zbMATH Keywords

time-weighted energy methodfrictional dissipation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (5)

Decay estimate and global existence of semilinear thermoelastic Timoshenko system with two damping effects ⋮ A general decay result for the Cauchy problem of a fractional Laplace viscoelastic equation ⋮ Decay estimate and asymptotic profile for a plate equation with memory ⋮ Dynamics of solutions to a semilinear plate equation with memory ⋮ A general decay result for the Cauchy problem of plate equations with memory

Cites Work

• Global existence and asymptotic decay of solutions to the nonlinear Timoshenko system with memory
• Decay of solutions to an inertial model for a semilinear plate equation with memory
• Decay property for a plate equation with memory-type dissipation
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• \(L_p\) theory for the linear thermoelastic plate equations in bounded and exterior domains
• Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory
• Timoshenko's plate equation as a singular limit of the dynamical von Kármán system
• Decay of solutions to generalized plate type equations with memory
• Energy decay rates for the Timoshenko system of thermoelastic plates
• DECAY ESTIMATES OF SOLUTIONS TO A SEMI-LINEAR DISSIPATIVE PLATE EQUATION
• GLOBAL EXISTENCE AND DECAY OF SOLUTIONS FOR A QUASI-LINEAR DISSIPATIVE PLATE EQUATION
• DECAY PROPERTY FOR THE TIMOSHENKO SYSTEM WITH MEMORY-TYPE DISSIPATION
• ASYMPTOTIC PROPERTIES FOR A SEMILINEAR PLATE EQUATION IN UNBOUNDED DOMAINS
• On a thermoelastic plate equation in an exterior domain
• Global solvability and uniform decays of solutions to quaslinear equation with nonlinear boundary dissipation
• On the exponential stability of linear viscoelasticity and thermoviscoelasticity
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