On the existence and decay in a new thermoelastic theory with two temperatures
In this work, we study a new two-temperatures thermoelastic model. Both thermodynamic and conductive temperatures are included, being related by means of an elliptic or parabolic equation. Then, two problems are considered assuming the dependence or not on the rate conductivity temperature. Existenc...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| 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:2117/380867 |
| Acceso en línea: | https://hdl.handle.net/2117/380867 https://dx.doi.org/10.4171/ZAA/1702 |
| Access Level: | acceso abierto |
| Palabra clave: | Thermoelasticity Two-temperatures Existence of solutions Energy decay Termoelasticitat Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects Classificació AMS::74 Mechanics of deformable solids::74A Generalities, axiomatics, foundations of continuum mechanics of solids Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| Sumario: | In this work, we study a new two-temperatures thermoelastic model. Both thermodynamic and conductive temperatures are included, being related by means of an elliptic or parabolic equation. Then, two problems are considered assuming the dependence or not on the rate conductivity temperature. Existence of solutions for the three-dimensional setting and the exponential energy decay in the one-dimensional case are shown |
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