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Title:
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On the exponential decay of solutions in dual-phase-lag porous thermoelasticity
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Author:
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Fernández, José Ramón; Magaña Nieto, Antonio; 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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In the last years, a big interest has been developed to understand the time decay of solutions for the porous thermoelasticity with different thermal mechanisms. We here want to consider the problem of the one-dimensional porous thermoelasticity when the heat conduction is given by means of the dual-phase-lag theory. We want to give suitable conditions in order to guarantee that the decay of solutions is controlled by a negative exponential. We also want to provide conditions for the slow decay of the solutions. |
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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
-Differential equations, Partial
-One-dimensional porous thermoelasticity
-Time decay
-Dual-phase-lag
-Semi-group arguments
-Spectral arguments
-Termoelasticitat
-Equacions diferencials parcials
-Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials
-Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application |
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Rights:
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Document type:
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Article - Published version
Book Part |
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Published by:
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Springer
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