Weak Solutions for the Cahn-Hilliard Equation with Degenerate Mobility

被引：61
|
作者：
Dai, Shibin [1 ]
Du, Qiang [2 ]
机构：
[1] New Mexico State Univ, Dept Math Sci, Las Cruces, NM 88003 USA
[2] Columbia Univ, Dept Appl Phys & Appl Math, New York, NY 10027 USA
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2016年 / 219卷 / 03期
基金：
美国国家科学基金会;
关键词：
SURFACE MOTION;
D O I：
10.1007/s00205-015-0918-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the well-posedness of Cahn-Hilliard equations with degenerate phase-dependent diffusion mobility. We consider a popular form of the equations which has been used in phase field simulations of phase separation and microstructure evolution in binary systems. We define a notion of weak solutions for the nonlinear equation. The existence of such solutions is obtained by considering the limits of Cahn-Hilliard equations with non-degenerate mobilities.
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页码：1161 / 1184
页数：24
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