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.
Format:	Artikel
Sprache:	eng
Schlagworte:	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
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Beschreibung
Zusammenfassung:	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.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2012.05.019