A Cahn–Hilliard model in bounded domains with permeable walls

✍ Scribed by Ciprian G. Gal

• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 242 KB
• Volume: 29
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.757

✦ Synopsis

Abstract

In this article, we propose a model of phase separation in a binary mixture confined to a bounded region which may be contained within porous walls. The boundary conditions are derived from a mass conservation law and variational methods. Employing classical methods, that is, fixed point theorems and standard energy methods, we obtain the existence and uniqueness of a global solution to our problem. We then also compare our model of phase separation with other previous Cahn–Hilliard equations with homogeneous Neumann and dynamic boundary conditions. Copyright © 2006 John Wiley & Sons, Ltd.