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Título:
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On the spatial behavior of constrained motion in type III thermoelasticity
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Autor/a:
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Quintanilla de Latorre, Ramón
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Otros autores:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
Abstract:
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Green and Naghdi proposed three theories of thermoelasticity labelled as type I, II and III, respectively. Here we investigate the spatial behaviour of solutions of a problem determined by the type III thermoelasticity. We study the growth/decay alternative in the spatial variable for the linear theory in the case that the thermoelastic deformations and the instant T are constrained to be proportional to the ones at the instant zero. In the case that the solutions decay, an upper bound for the amplitude term by means of the data of the problem can be obtained. We sketch how to obtain it. we finish by noting (through examples) that for several families of cases the solutions can be periodic in the spatial variable and the Phragmen-Lindelof alternative is not satisfied. |
Abstract:
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Peer Reviewed |
Materia(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències -Thermoelasticity -Termoelasticitat -Matemàtica aplicada |
Derechos:
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Tipo de documento:
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Artículo - Versión publicada Artículo |
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