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

页码：315 / 360

页数：46

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