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Dynamical aspect of a generalized Cahn–Hilliard equation based on a microforce balance

Article type: Research Article

Authors: Miranville, A. | Piétrus, A. | Rakotoson, J.M.

Affiliations: Département de Mathématiques, Université de Poitiers, 40 avenue du Recteur Pineau, 86022 Poitiers Cedex, France

Abstract: Our aim in this article is to study the existence of finite dimensional attractors for a class of generalized Cahn–Hilliard equations based on a microforce balance introduced by M. Gurtin (Physica D 92 (1996), 178–192). We first consider some general results on the existence of finite dimensional attractors, and then apply these results to the generalized Cahn–Hilliard equations.

Journal: Asymptotic Analysis, vol. 16, no. 3-4, pp. 315-345, 1998

Received 25 April 1997
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Published: 1998
Price: EUR 27.50
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