Doubly nonlinear Cahn-Hilliard-Gurtin equations

被引：15
作者：
Miranville, A. [1 ]
Zelik, S. [2 ]
机构：
[1] Univ Poitiers, Lab Math & Applicat, SP2MI, F-86962 Futuroscope, France
[2] Univ Surrey, Dept Math, Guildford GU2 7XH, Surrey, England
来源：
HOKKAIDO MATHEMATICAL JOURNAL | 2009年 / 38卷 / 02期
关键词：
Doubly nonlinear Cahn-Hilliard-Gurtin equations; dissipativity; global attractor; exponential attractor; EXPONENTIAL ATTRACTORS; FAST DIFFUSION; BEHAVIOR; SYSTEM;
D O I：
10.14492/hokmj/1248190081
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Our aim in this article is to study the long time behavior, in terms of finite-dimensional attractors, of doubly nonlinear Cahn-Hilliard type equations. In particular, we prove the existence of an exponential attractor. We also study the continuity of exponential attractors when the equations converge to the usual Cahn-Hilliard equation.
引用
收藏
页码：315 / 360
页数：46
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