descriptionPublicationkeyboard_double_arrow_right Article 27 Oct 2021 English Publisher:SAGE PublicationsJournal:Asymptotic Analysis, volume 129, pages 339-359 (issn: 0921-7134, eissn: 1875-8576,

Authors: Bazarra, Noelia; Fernández, Jose R.; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón;

doi: 10.3233/asy-211732

handle: 2117/355710

Time decay for several porous thermoviscoelastic systems of Moore–Gibson–Thompson type

- Summary
- Subjects
- Metrics

Abstract

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.

Related Organizations

Universitat Politècnica de Catalunya
Spain
Universitat Polite`cnica de Catalunya
Spain
Universidade de Vigo
Spain

Keywords

:74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects [Classificació AMS], Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects, :Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC], Energy decay, Existence and uniqueness, Thermoviscoelasticity, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències, Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications, :37 Dynamical systems and ergodic theory::37N Applications [Classificació AMS], Dissipation mechanisms, Thermoelasticity, Termoelasticitat

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	5
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%