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Title:
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Qualitative results for a mixture of Green-Lindsay thermoelastic solids
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Author:
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Magaña Nieto, Antonio; Muñoz Rivera, Jaime E.; Naso, Maria Grazia; Quintanilla de Latorre, Ramón
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Other authors:
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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 |
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Abstract:
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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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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
-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 |
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Rights:
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Document type:
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Article - Submitted version
Article |
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