Time decay for several porous thermoviscoelastic systems of Moore-Gibson-Thompson type. (English) Zbl 1500.35272

Bazarra, Noelia; Fernández, José R.; Magaña, Antonio; Quintanilla, Ramón

Asymptotic Anal. 129, No. 3-4, 339-359 (2022).

Summary: In this paper, we consider several problems arising in the theory of thermoelastic bodies with voids. Four particular cases are considered depending on the choice of the constitutive tensors, assuming different dissipation mechanisms determined by Moore-Gibson-Thompson-type viscosity. For all of them, the existence and uniqueness of solutions are shown by using semigroup arguments. The energy decay of the solutions is also analyzed for each case.

MSC:

35Q74	PDEs in connection with mechanics of deformable solids
35Q79	PDEs in connection with classical thermodynamics and heat transfer
74F05	Thermal effects in solid mechanics
74A15	Thermodynamics in solid mechanics
74B10	Linear elasticity with initial stresses
80A19	Diffusive and convective heat and mass transfer, heat flow
35A01	Existence problems for PDEs: global existence, local existence, non-existence
35A02	Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness

Keywords:

thermoviscoelasticity; existence and uniqueness; energy decay; dissipation mechanisms

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