Moore Gibson Thompson thermoelastic plates: comparisons
In this paper we investigate two examples of thermoelastic plates free of the paradox of instan- taneous propagation of thermal or mechanical waves when only one of them is dissipative and the other is conservative. To be precise we consider a Moore–Gibson–Thompson plate with type II heat conduction...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| 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:2117/405079 |
| Acceso en línea: | https://hdl.handle.net/2117/405079 https://dx.doi.org/10.1007/s00028-023-00921-y |
| Access Level: | acceso abierto |
| Palabra clave: | Thermoelasticity Termoelasticitat Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| Sumario: | In this paper we investigate two examples of thermoelastic plates free of the paradox of instan- taneous propagation of thermal or mechanical waves when only one of them is dissipative and the other is conservative. To be precise we consider a Moore–Gibson–Thompson plate with type II heat conduction and a conservative elastic plate with Moore–Gibson–Thompson heat conduction. In both cases we prove the well-posedness. In the first case we also show the exponential decay of the solutions, but in the second we obtain the lack of the exponential decay and the optimality of the polynomial decay with rate of decay of type O(t-1) for the associated semigroup. |
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