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A Caginalp phase-field system based on type III heat conduction with two temperatures

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Miranville, Alain
Quintanilla de Latorre, RamónMés informacióMés informacióMés informació
Document typeArticle
Defense date2016-06-01
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
ProjectANALISIS MATEMATICO DE LAS ECUACIONES EN DERIVADAS PARCIALES DE LA TERMOMECANICA (MINECO-MTM2013-42004-P)
Abstract
Our aim in this paper is to study a generalization of the Caginalp phasefield system based on the theory of type III thermomechanics with two temperatures for the heat conduction. In particular, we obtain well-posedness results and study the dissipativity of the associated solution operators. We consider here both regular and singular nonlinear terms. Furthermore, we endow the equations with two types of boundary conditions, namely, Dirichlet and Neumann. Finally, we study the spatial behavior of the solutions in a semi-infinite cylinder, when such solutions exist.
CitationMiranville, A., Quintanilla, R. A Caginalp phase-field system based on type III heat conduction with two temperatures. "Quarterly of applied mathematics", 01 Juny 2016, vol. 74, núm. 2, p. 375-398. 
URIhttp://hdl.handle.net/2117/87512
DOI10.1090/qam/1430
ISSN0033-569X
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