Well-posedness and long time behavior of a perturbed Cahn-Hilliard system with regular potentials

被引：4

作者：

Israel, Haydi ^{[1
]}

Miranville, Alain ^{[1
]}

Petcu, Madalina ^{[1
,2
]}

机构：

[1] Univ Poitiers, CNRS, Lab Math & Applicat, UMR 7348, F-86962 Futuroscope, France

[2] Romanian Acad, Inst Math, Bucharest, Romania

来源：

ASYMPTOTIC ANALYSIS | 2013年 / 84卷 / 3-4期

关键词：

Cahn-Hilliard equation; regular potential; global attractor; exponential attractor; ATTRACTORS; EQUATIONS;

D O I：

10.3233/ASY-131172

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study the well-posedness and long time behavior, in terms of finite-dimensional attractors, of a perturbed Cahn-Hilliard equation. This equation differs from the usual Cahn-Hilliard by the presence of the term epsilon(-Delta u + f(u)). In particular, we prove the existence of a robust family of exponential attractors as epsilon goes to zero.

引用

页码：147 / 179

页数：33

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