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On the stability in phase-lag heat conduction with two temperatures
Magaña Nieto, Antonio; Miranville, Alain; Quintanilla de Latorre, Ramón
Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
We investigate the well-posedness and the stability of the solutions for several Taylor approximations of the phase-lag two-temperature equations.We give conditions on the parameters which guarantee the existence and uniqueness of solutions as well as the stability and the instability of the solutions for each approximation
Peer Reviewed
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
-Thermoelasticity
-Differential equations, Partial
-Phase-lag heat conduction
-Well-posedness
-Stability
-Instability
-Energy methods
-Spectral analysis
-Termoelasticitat
-Equacions diferencials parcials
-Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
-Classificació AMS::35 Partial differential equations
Article - Submitted version
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