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Title:
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Phragmén-Lindelöf alternative for an exact heat conduction equation with delay
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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 Matemàtica Aplicada II |
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Abstract:
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In this paper we investigate the spatial behavior of the solutions fora theory for the heat conduction with one delay term. We obtain a Phragm én-Lindelöf type alternative. That is, the solutions either decay in an exponentialway or blow-up at in nity in an exponential way. We also show how to obtainan upper bound for the amplitude term. Later we point out how to extendthe results to a thermoelastic problem. We nish the paper by consideringthe equation obtained by the Taylor approximation to the delay term. APhragm én-Lindelöf type alternative is obtained for the forward and backwardin time equations. |
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Publication date:
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2012-10-11 |
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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
Àrees temàtiques de la UPC::Física::Termodinàmica::Física de la transmissió de la calor
Heat--Transmission
Differential equations, Partial
Calor -- Transmissió -- Matemàtica
Equacions diferencials parcials
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer |
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Rights:
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Restricted access - publisher's policy |
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Document type:
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Article |
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