Global well-posedness of the Cauchy problem for the 3D Jordan–Moore–Gibson–Thompson equation

DOI10.1142/S0219199720500698zbMath1476.35052OpenAlexW2921766934MaRDI QIDQ5159141

Reinhard Racke, Belkacem Said-Houari

Publication date: 26 October 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199720500698

zbMATH Keywords

energy methodglobal existencedecay rateMoore-Gibson-Thompson equation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (10)

Global existence for the Jordan-Moore-Gibson-Thompson equation in Besov spaces ⋮ Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition ⋮ Global well-posedness of the Cauchy problem for the Jordan-Moore-Gibson-Thompson equation with arbitrarily large higher-order Sobolev norms ⋮ Asymptotic behaviors for the Jordan-Moore-Gibson-Thompson equation in the viscous case ⋮ Well-posedness and decay property for the Cauchy problem of the standard linear solid model with thermoelasticity of type III ⋮ Nonlinear acoustic equations of fractional higher order at the singular limit ⋮ Blow-up of solutions for the Moore-Gibson-Thompson equations on exterior domain in two dimensions. ⋮ Decay properties for the Cauchy problem of the linear JMGT-viscoelastic plate with heat conduction ⋮ A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case ⋮ On the well-posedness and general decay results of Moore-Gibson-Thompson equation with memory

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