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Journal of Applied Mathematics 
Volume 2003 (2003), Issue 4, Pages 165-185
doi:10.1155/S1110757X03204083

Generalized Cahn-Hilliard equations based on a microforce balance

Alain Miranville

Laboratoire d'Applications desMathématiques, Université de Poitiers, SP2MI, Téléport 2, boulevard Marie et Pierre Curie, Chasseneuil Futuroscope Cedex 86962, France

Received 30 April 2002; Revised 23 September 2002

Abstract

We present some models of Cahn-Hilliard equations based on a microforce balance proposed by M. Gurtin. We then study the existence and uniqueness of solutions.