On uniqueness and continuous dependence in type III thermoelasticity

This note is concerned with the linear (and linearised) type III thermoelastic theory proposed by Green and Naghdi. First, the continuous dependence of the solutions upon the initial data and supply terms is established for noncentrosymmetric bodies. Then a uniqueness result for centrosymmetric mate...

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Veröffentlicht in:Journal of mathematical analysis and applications 2012-11, Vol.395 (1), p.429-436
Hauptverfasser: Leseduarte, M.C., Quintanilla, R.
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container_title Journal of mathematical analysis and applications
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creator Leseduarte, M.C.
Quintanilla, R.
description This note is concerned with the linear (and linearised) type III thermoelastic theory proposed by Green and Naghdi. First, the continuous dependence of the solutions upon the initial data and supply terms is established for noncentrosymmetric bodies. Then a uniqueness result for centrosymmetric materials is established.
doi_str_mv 10.1016/j.jmaa.2012.05.019
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subjects 35 Partial differential equations
80 Classical thermodynamics, heat transfer
Anàlisi matemàtica
Classificació AMS
Continuous dependence
Differential equations, Partial
Equacions diferencials i integrals
Equacions diferencials parcials
Equacions en derivades parcials
Matemàtiques i estadística
Termoelasticitat
Type III thermoelasticity
Uniqueness of solutions
Àrees temàtiques de la UPC
title On uniqueness and continuous dependence in type III thermoelasticity
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