Generalized Cahn-Hilliard equations with a logarithmic free energy

 

Laurence Cherfils   Alain Miranville
Université de La Rochelle, LMCA   Université de Poitiers
Avenue Marillac   SP2MI, Boulevard 3, Téléport 2,
17042 La Rochelle Cedex 1   86960 Futuroscope cedex
France   France

 

Abstract:

Our aim in this article is to study some models of Generalized Cahn-Hilliard equations with a logarithmic free energy. We obtain the existence and uniqueness of solutions and then study the existence of finite dimensional attractors.

Key words: Cahn-Hilliard equation, microforces, logarithmic free energy, global attractor, exponential attractor.
Mathematics Subject Classification (1991): 35B40, 35B45, 35A05.

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