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].

引用

页码：143 / 154

页数：11

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