A new approach to MGT-thermoviscoelasticity

DOI10.3934/DCDS.2021052zbMath1479.35855OpenAlexW3153442176MaRDI QIDQ2042896

Vittorino Pata, Marta Pellicer, Ramón Quintanilla, Monica Conti

Publication date: 22 July 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021052

zbMATH Keywords

exponential stabilitythermoelasticitythermoviscoelasticitysolution semigroupMoore-Gibson-Thompson equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Thermal effects in solid mechanics (74F05) Linear constitutive equations for materials with memory (74D05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (16)

Numerical approximation of some poro-elastic problems with MGT-type dissipation mechanisms ⋮ The MGT-Fourier model in the supercritical case ⋮ Time decay for several porous thermoviscoelastic systems of Moore–Gibson–Thompson type ⋮ Numerical analysis of a thermoelastic dielectric problem arising in the Moore-Gibson-Thompson theory ⋮ A MGT thermoelastic problem with two relaxation parameters ⋮ Moore Gibson Thompson thermoelastic plates: comparisons ⋮ Analysis of a thermoelastic problem with the Moore-Gibson-Thompson microtemperatures ⋮ Asymptotic analysis of two thermoelastic plates with dissipative histories ⋮ On the mixtures of MGT viscoelastic solids ⋮ On the decay of MGT-viscoelastic plate with heat conduction of Cattaneo type in bounded and unbounded domains ⋮ On the Cauchy problem of the standard linear solid model with Fourier heat conduction ⋮ On the time decay for the MGT-type porosity problems ⋮ On the decay of the energy for radial solutions in Moore–Gibson–Thompson thermoelasticity ⋮ Some unexplored questions arising in linear viscoelasticity ⋮ On the numerical approximation of a problem involving a mixture of a MGT viscous material and an elastic solid ⋮ On a mixture of an MGT viscous material and an elastic solid

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