Some models of Cahn-Hilliard equations in nonisotropic media

Abstract

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. Résumé. Nous obtenons dans cet article des modèles d'équations de

Global and exponential attractors for a Caginalp type phase-field problem

“…The proof is based on estimate (20) obtained in the proof of Theorem 2.1 with ( ) replaced by ( ) that we rewrite here as…”