A higher-order porous thermoelastic problem with microtemperatures
In this paper, we study a porous thermoelastic problem with microtemperatures assuming parabolic higher order in time derivatives for the thermal variables. The model is derived and written as a coupled linear system. Then, a uniqueness result is proved by using the logarithmic convexity method in t...
| Autores: | ; |
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| Tipo de documento: | Artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/401896 |
| Acceso en línea: | https://hdl.handle.net/2117/401896 https://dx.doi.org/10.1007/s10483-023-3049-8 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Thermoelasticity Higher order Microtemperature Logarithmic convexity method Existence and uniqueness Termoelasticitat Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| Sumario: | In this paper, we study a porous thermoelastic problem with microtemperatures assuming parabolic higher order in time derivatives for the thermal variables. The model is derived and written as a coupled linear system. Then, a uniqueness result is proved by using the logarithmic convexity method in the case that we do not assume that the mechanical energy is positive definite. Finally, the existence of the solution is obtained by introducing an energy function and applying the theory of linear semigroups. |
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