Weak Solutions for the Cahn-Hilliard Equation with Degenerate Mobility

被引：68

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.

引用

页码：1161 / 1184

页数：24

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