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Some models of Cahn-Hilliard equations in nonisotropic media

Published online by Cambridge University Press:  15 April 2002

Alain Miranville
Alain Miranville*
Affiliation:
Université de Poitiers, Mathématiques, SP2MI, Téléport 2, boulevard Marie et Pierre Curie, 86962 Chasseneuil Futuroscope Cedex, France. (miranv@wallis.sp2mi.univ-poitiers.fr)
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Abstract

We derive in this article some models of Cahn-Hilliard equations in nonisotropic media. These models, based on constitutive equations introduced by Gurtin in [19], take the work of internal microforces and also the deformations of the material into account. We then study the existence and uniqueness of solutions and obtain the existence of finite dimensional attractors.

Keywords

Cahn-Hilliard equationinternal microforcesdeformable continuumnonisotropic materialglobal attractorexponential attractor.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 3 , May 2000 , pp. 539 - 554
Copyright
© EDP Sciences, SMAI, 2000

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