Exponential attractors and inertial manifolds for singular perturbations of the Cahn-Hilliard equations

被引：37
|
作者：
Zheng, SM
Milani, A
机构：
[1] Univ Wisconsin, Dept Math, Milwaukee, WI 53211 USA
[2] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 57卷 / 5-6期
基金：
美国国家科学基金会;
关键词：
Cahn-Hilliard equations; singular perturbation; semiflow; exponential attractor; inertial manifold;
D O I：
10.1016/j.na.2004.03.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the singular perturbations of two boundary value problems, concerning, respectively, the viscous and the nonviscous Cahn-Hilliard equations in one dimension of space. We show that the dynamical systems generated by these two problems admit exponential attractors and inertial manifolds in the phase space H-0(1)(0, pi) x H-1(0, pi). (C) 2004 Elsevier Ltd. All rights reserved.
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页码：843 / 877
页数：35
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