# American Institute of Mathematical Sciences

April  2013, 6(2): 387-400. doi: 10.3934/dcdss.2013.6.387

## A Cahn-Hilliard-Gurtin model with dynamic boundary conditions

 1 Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, United States 2 Université de Poitiers, Laboratoire de Mathématiques et Applications, UMR CNRS 7348 - SP2MI, Boulevard Marie et Pierre Curie - Téléport 2, 86962 Chasseneuil Futuroscope Cedex, France

Received  September 2011 Revised  October 2011 Published  November 2012

Our aim in this paper is to define proper dynamic boundary conditions for a generalization of the Cahn-Hilliard system proposed by M. Gurtin. Such boundary conditions take into account the interactions with the walls in confined systems. We then study the existence and uniqueness of weak solutions.
Citation: Gisèle Ruiz Goldstein, Alain Miranville. A Cahn-Hilliard-Gurtin model with dynamic boundary conditions. Discrete & Continuous Dynamical Systems - S, 2013, 6 (2) : 387-400. doi: 10.3934/dcdss.2013.6.387
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