Asymtotic behaviour of the viscous Cahn-Hilliard equation

被引：0
|
作者：
S. M. Choo
S. K. Chung
机构：
[1] Ulsan University,School of Mathematics and Physics
[2] Seoul National University,Department of Mathematics Education
来源：
Journal of Applied Mathematics and Computing | 2003年 / 11卷 / 1-2期
关键词：
35K55; 35K57; 35B05; Viscous Cahn-Hilliard equation; regularity; decay property; comparison theorem;
D O I：
10.1007/BF02935727
中图分类号：
学科分类号：
摘要：
Analytical solutions for the viscous Cahn-Hilliard equation are considered. Existence and uniqueness of the solution are shown. The exponential decay of the solution inH2-norm, which is an improvement of the result in Elliott and Zheng[5]. We also compare the early stages of evolution of the viscous Cahn-Hilliard equation with that of the Cahn-Hilliard equation, which has been given as an open question in Novick-Cohen[8].
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页码：143 / 154
页数：11
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