On the hyperbolic thermoelasticity with several dissipation mechanisms
| Autor: | José R. Fernández, Ramón Quintanilla |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: |
80 Classical thermodynamics
heat transfer::80A Thermodynamics and heat transfer [Classificació AMS] Mechanical Engineering Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC] Energy decay Lord and Shulman theory Dissipation mechanisms Existence and uniqueness 35 Partial differential equations [Classificació AMS] Thermoelasticity Termoelasticitat |
| Popis: | In this work, we study a two-dimensional problem involving a thermoelastic body with four dissipative mechanisms. The well-known theory proposed by Lord and Shulman is used. The existence and uniqueness of solution is proved by using theory of linear semigroups. Then, introducing some assumptions of the coupling coefficients, we prove that the energy decay is exponential. An extension to the theory provided by Green and Lindsay is briefly presented and to the three-dimensional case is also commented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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