Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models

DOI10.1007/978-981-10-1714-8zbMath1351.74003OpenAlexW2501413663MaRDI QIDQ2814741

Zhiyong Ma, Yu-ming Qin

Publication date: 22 June 2016

Full work available at URL: https://doi.org/10.1007/978-981-10-1714-8

zbMATH Keywords

exponential stabilityBresse systemsemigroup methodpolynomial decayTimoshenko systemviscoelastic modelsthermal memoryasymptotic behavior of the solutionstermoelastic modelswell-posedness of the solutions

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Thermal effects in solid mechanics (74F05) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Linear constitutive equations for materials with memory (74D05) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)

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Smooth dynamics of a Timoshenko system with hybrid dissipation ⋮ Energy decay rate for a nonlinear von Kármán equation with memory ⋮ Impulsive evolution processes: abstract results and an application to a coupled wave equations ⋮ Exponential stability for a thermoelastic Bresse system: Theoretical and numerical study ⋮ General decay results for viscoelastic systems with memory and time‐varying delay ⋮ New general decay result of the laminated beam system with infinite history ⋮ Long-time behaviour for a non-autonomous Klein-Gordon-Zakharov system

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