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New models of Cahn-Hilliard-Gurtin equations
Authors:M.?Efendiev  author-information"  >  author-information__contact u-icon-before"  >  mailto:messoud.efendiev@mathematik.uni-stuttgart.de"   title="  messoud.efendiev@mathematik.uni-stuttgart.de"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,A.?Miranville
Affiliation:(1) Fakultät Mathematik, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany;(2) Laboratoire d"rsquo"Applications des Mathématiques, SP2MI, Université de Poitiers, Téléport 2, Avenue Marie et Pierre Curie, 86962 Chasseneuil, Futuroscope Cedex, France
Abstract:In this article, we further generalize the models of Cahn-Hilliard equations proposed by Gurtin and based on a balance law for microforces. We then study the existence and uniqueness of solutions and the boundedness of the order parameter.Received: 26 May 2003, Accepted: 29 August 2003, Published online: 3 February 2004PACS: 02.30.Jr, 64.75. + g Correspondence to: M. Efendiev
Keywords:Cahn-Hilliard equation  microforce balance  constitutive equations  second law of thermodynamics  dissipation inequality  existence and uniqueness of solutions
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