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Title:
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Spatial behavior in high order partial differential equations
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Author:
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Leseduarte Milán, María Carme; 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. GRAA - Grup de Recerca en Anàlisi Aplicada |
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Abstract:
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In this paper we study the spatial behavior of solutions to the equations obtained by taking formal Taylor approximations to the heat conduction dual-phase-lag and three-phase-lag theories, reflecting Saint-Venant's principle. In a recent paper, two families of cases for high order partial differential equations were studied. Here we investigate a third family of cases which corresponds to the fact that a certain condition on the time derivative must be satis ed. We also study the spatial behavior of a thermoelastic problem. We obtain a Phragmén-Lindelöf alternative for the solutions in both cases. The main tool to handle these problems is the use of an exponentially weighted Poincaré inequality. |
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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, Hyperbolic
-Heat --Transmission -- Mathematical models
-Models in heat conduction
-Spatial stability
-Saint-Venant's principle
-Equacions diferencials hiperbòliques
-Calor -- Transmissió -- Models matemàtics
-Classificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type
-Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer |
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Rights:
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Document type:
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Article - Submitted version
Article |
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