期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 29, 期 17, 页码 2009-2036出版社
WILEY
DOI: 10.1002/mma.757
关键词
Cahn-Hilliard equation; dynamic boundary conditions; Wentzell boundary conditions
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 (C) 2006 John Wiley & Sons, Ltd.
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