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Long-time behaviour for a model of phase-field type

Published online by Cambridge University Press:  14 November 2011

Ph. Laurençot
Affiliation:
Equipe de Mathématiques, CNRS URA 741, Université de Franche-Comté, Route de Gray, F-25030 Besançon Cedex, France

Abstract

In this paper, we study a model of phase-field type for the kinetics of phase transitions which was considered by Halperin, Hohenberg and Ma and which includes the phase-field equations. We study the well-posedness of the corresponding initial boundary value problem in an open bounded subset in space dimension lower than or equal to 3 and prove that, under suitable conditions, the long-time behaviour of the solutions to this problem is described by a maximal attractor.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1996

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