Idioma:

Moore–Gibson–Thompson thermoelasticity

Quintanilla, Ramón

Mathematics and mechanics of solids, 2019-12, Vol.24 (12), p.4020-4031 [Periódico revisado por pares]

Texto completo disponível

Citações Citado por

Título:
Moore–Gibson–Thompson thermoelasticity
Autor: Quintanilla, Ramón
Assuntos: 35 Partial differential equations ; 74 Mechanics of deformable solids ; Classificació AMS ; Existence ; Matemàtica aplicada a les ciències ; Matemàtiques i estadística ; Moore–Gibson–Thompson equation ; Relaxation parameter ; Stability ; Termoelasticitat ; Thermoelasticity ; Àrees temàtiques de la UPC
É parte de: Mathematics and mechanics of solids, 2019-12, Vol.24 (12), p.4020-4031
Descrição: We consider a thermoelastic theory where the heat conduction is described by the Moore–Gibson–Thompson equation. In fact, this equation can be obtained after the introduction of a relaxation parameter in the Green–Naghdi type III model. We analyse the one- and three-dimensional cases. In three dimensions, we obtain the well-posedness and the stability of solutions. In one dimension, we obtain the exponential decay and the instability of the solutions depending on the conditions over the system of constitutive parameters. We also propose possible extensions for these theories.
Editor: London, England: SAGE Publications
Idioma: Inglês

Voltar para lista de resultados