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Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 6
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Original Articles

Some generalizations of the Caginalp phase-field system

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Pages 877-894 | Received 18 Feb 2009, Accepted 10 Apr 2009, Published online: 05 Aug 2009
 

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.

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Acknowledgements

This article was initiated while A. Miranville was visiting the Universitat Politècnica de Catalunya in Terrassa. He wishes to thank this institution for its warm hospitality. The work of R. Quintanilla is supported by the project ‘Estudio Cualitativo de Problemas Termomecánicos’ (MTM2006-03706).

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