The MGT-Fourier model in the supercritical case

DOI10.1016/j.jde.2021.08.030zbMath1473.35043arXiv2106.12402OpenAlexW3197426289MaRDI QIDQ822755

Lorenzo Liverani, Vittorino Pata, Monica Conti

Publication date: 23 September 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.12402

zbMATH Keywords

exponential stabilitythermoviscoelasticitysolution semigroupFourier lawMoore-Gibson-Thompson equationcritical and supercritical regime

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Thermal effects in solid mechanics (74F05) Initial-boundary value problems for systems of linear higher-order PDEs (35G46)

Related Items

Analysis of a thermoelastic problem with the Moore-Gibson-Thompson microtemperatures, On the Moore-Gibson-Thompson equation with thermal effects of Gurtin-Pipkin type, On the analyticity of the abstract MGT-Fourier system, Spectral analysis and stability of the Moore-Gibson-Thompson-Fourier model, On the optimal decay rate of the weakly damped wave equation, Thermoelasticity with antidissipation

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