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Title:
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Exponential decay in nonsimple thermoelasticity of type III
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Author:
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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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This is the peer reviewed version of the following article: Magaña, A., and Quintanilla, R. (2016) Exponential decay in nonsimple thermoelasticity of type III. Math. Meth. Appl. Sci., 39: 225–235. doi: 10.1002/mma.3472, which has been published in final form at http://dx.doi.org/10.1002/mma.3472. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving |
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Abstract:
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This paper deals with the model proposed for nonsimple materials
with heat conduction of type III.We analyze rst the general system of equations, determine the behavior of its solutions with respect to the time and show that the semigroup associated with the system is not analytic. Two limiting cases of the model are studied later. |
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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::Equacions diferencials i integrals::Equacions en derivades parcials
-Differential equations, Partial
-Strength of materials--Mathematic
-Elastic solids--Mathematics
-Thermoelasticity of type III
-Exponential decay
-Semigroup of contractions
-Analyticity
-Impossibility of localization
-Elasticitat -- Matemàtica
-Resistència de materials -- Models matemàtics
-Equacions diferencials parcials
-Classificació AMS::35 Partial differential equations
-Classificació AMS::74 Mechanics of deformable solids |
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Rights:
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Document type:
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Article - Submitted version
Article |
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