Well-posedness and decay property of regularity-loss type for the Cauchy problem of the standard linear solid model with Gurtin–Pipkin thermal law

DOI10.3233/ASY-201631zbMath1473.35557OpenAlexW3049071467MaRDI QIDQ5000014

Danhua Wang, Wenjun Liu

Publication date: 5 July 2021

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-201631

zbMATH Keywords

well-posednessdecay estimatestandard linear solid modelGurtin-Pipkin thermal law

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Vibrations in dynamical problems in solid mechanics (74H45) Thermal effects in solid mechanics (74F05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (4)

On the Moore-Gibson-Thompson equation with thermal effects of Gurtin-Pipkin type ⋮ Well-posedness and decay property for the Cauchy problem of the standard linear solid model with thermoelasticity of type III ⋮ Decay properties for the Cauchy problem of the linear JMGT-viscoelastic plate with heat conduction ⋮ On the Cauchy problem of the standard linear solid model with Cattaneo heat conduction

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