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Some generalizations of the Caginalp phase-field system

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Abstract:

Our aim in this article is to study generalizations of the Caginalp phase-field system based on a thermomechanical theory of deformable continua proposed by Green and Naghdi. In particular, we obtain well-posedness results and study the asymptotic and spatial behaviours of the solutions.

Keywords: Caginalp system; asymptotic behaviour of the solutions; spatial behaviour of the solutions; thermoelasticity; type II; type III; well-posedness

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/00036810903042182

Affiliations: 1: Laboratoire de Mathematiques et Applications, Universite de Poitiers, F-86962, Chasseneuil Futuroscope Cedex, Poitiers, France 2: Matematica Aplicada 2, ETSEIAT-UPC, S-08222, Terrassa, Barcelona, Spain

Publication date: June 1, 2009

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