Qualitative results for a mixture of Green-Lindsay thermoelastic solids
We study qualitative properties of the solutions of the system of partial differential equations modeling thermomechanical deformations for mixtures of thermoelastic solids when the theory of Green and Lindsay for the heat conduction is considered. Three dissipation mechanisms are proposed in the sy...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| 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:2117/125861 |
| Acceso en línea: | https://hdl.handle.net/2117/125861 |
| Access Level: | acceso abierto |
| Palabra clave: | Thermoelasticity Elastic solids -- Mechanical properties Thermoelastic mixtures existence uniqueness exponential decay Green- Lindsay heat conduction Termoelasticitat Sòlids elàstics -- Propietats mecàniques Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| Sumario: | We study qualitative properties of the solutions of the system of partial differential equations modeling thermomechanical deformations for mixtures of thermoelastic solids when the theory of Green and Lindsay for the heat conduction is considered. Three dissipation mechanisms are proposed in the system: thermal dissipation, viscosity e ects on one constituent of the mixture and damping in the relative velocity of the two displacements of both constituents. First, we prove the existence and uniqueness of the solutions. Later we prove the exponential stability of the solutions over the time. We use the semigroup arguments to establish our results |
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