Decay rates for the Moore-Gibson-Thompson equation with memory

DOI10.3934/eect.2020074zbMath1473.35367OpenAlexW3035304159MaRDI QIDQ2230376

Hizia Bounadja, Belkacem Said-Houari

Publication date: 17 September 2021

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

Full work available at URL: https://doi.org/10.3934/eect.2020074

zbMATH Keywords

energy methodexponential decaymemory kernelpolynomial decayMoore-Gibson-Thompson equationregularity loss

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Asymptotic behavior of solutions to PDEs (35B40) Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Degenerate hyperbolic equations (35L80)

Related Items (14)

General decay of the Moore-Gibson-Thompson equation with viscoelastic memory of type II ⋮ Asymptotic profiles and singular limits for the viscoelastic damped wave equation with memory of type I ⋮ Global existence for the Jordan-Moore-Gibson-Thompson equation in Besov spaces ⋮ Time-fractional Moore–Gibson–Thompson equations ⋮ Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation ⋮ Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with microtemperature effect ⋮ Decay rate of the solutions to the Cauchy problem of the Bresse system in thermoelasticity of type III with distributed delay ⋮ Analysis of a thermoelastic problem with the Moore-Gibson-Thompson microtemperatures ⋮ Boundary controllability for the 1D Moore-Gibson-Thompson equation ⋮ On the Jordan-Moore-Gibson-Thompson wave equation in hereditary fluids with quadratic gradient nonlinearity ⋮ A general stability result for a viscoelastic Moore-Gibson-Thompson equation in the whole space ⋮ Global well-posedness of the Cauchy problem for the 3D Jordan–Moore–Gibson–Thompson equation ⋮ General decay of the Cauchy problem for a Moore-Gibson-Thompson equation with memory ⋮ On the well-posedness and general decay results of Moore-Gibson-Thompson equation with memory

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