Moore-Gibson-Thompson theory for thermoelastic dielectrics
| Autor: | R. Quintanilla, J. R. Fernández |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects [Classificació AMS]
Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC] Existence 02 engineering and technology Dielectric System of linear equations 01 natural sciences Stability (probability) Thermoelastic damping 0203 mechanical engineering Exponential decay 0101 mathematics Thermoelasticity Physics Partial differential equation Applied Mathematics Mechanical Engineering Mathematical analysis 010101 applied mathematics 020303 mechanical engineering & transports Mechanics of Materials 37 Dynamical systems and ergodic theory::37N Applications [Classificació AMS] Moore-Gibson-Thompson thermoelastic dielectric Semigroups Termoelasticitat |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Popis: | We consider the system of equations determining the linear thermoelastic deformations of dielectrics within the recently called Moore-Gibson-Thompson (MGT) theory. First, we obtain the system of equations for such a case. Second, we consider the case of a rigid solid and show the existence and the exponential decay of solutions. Third, we consider the thermoelastic case and obtain the existence and the stability of the solutions. Exponential decay of solutions in the one-dimensional case is also recalled |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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