On the time decay in phase-lag thermoelasticity with two temperatures
The aim of this paper is to study the time decay of the solutions for two models of the one-dimensional phase-lag thermoelasticity with two temperatures. The first one is obtained when the heat flux vector and the inductive temperature are approximated by a second-order and first-order Taylor polyno...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/170281 |
| Acceso en línea: | https://hdl.handle.net/2117/170281 https://dx.doi.org/10.3934/era.2019007 |
| Access Level: | acceso abierto |
| Palabra clave: | Thermoelasticity Differential equations, Partial Phase-lag thermoelasticity Exponential stability Slow decay Spectral analysis Termoelasticitat Equacions diferencials parcials Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems Classificació AMS::34 Ordinary differential equations::34B Boundary value problems Classificació AMS::35 Partial differential equations::35P Spectral theory and eigenvalue problems for partial differential operators Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| Sumario: | The aim of this paper is to study the time decay of the solutions for two models of the one-dimensional phase-lag thermoelasticity with two temperatures. The first one is obtained when the heat flux vector and the inductive temperature are approximated by a second-order and first-order Taylor polynomial, respectively. In this case, the solutions decay in a slow way. The second model that we consider is obtained taking first-order Taylor approximations for the inductive thermal displacement, the inductive temperature and the heat flux. The decay is, therefore, of exponential type. |
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