Robust family of exponential attractors for isotropic crystal models

被引：1
|
作者：
Cherfils, Laurence [1 ]
Gatti, Stefania [2 ]
机构：
[1] Univ La Rochelle, Lab Math Images & Applicat, EA 3165, Ave Michel Crepeau, F-17042 La Rochelle 1, France
[2] Univ Modena & Reggio Emilia, Dipartimento Sci FIM, Via Campi 213-B, I-41125 Modena, Italy
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 07期
关键词：
robust exponential attractor; Allen-Cahn equation; Cahn-Hilliard equation; Willmore regularization; CAHN-HILLIARD EQUATION;
D O I：
10.1002/mma.3597
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our aim in this paper is to study, in term of finite dimensional exponential attractors, the Willmore regularization, (depending on a small regularization parameter beta > 0), of two phase-field equations, namely, the Allen-Cahn and the Cahn-Hilliard equations. In both cases, we construct robust families of exponential attractors, that is, attractors that are continuous with respect to the perturbation parameter. Copyright (C) 2015 John Wiley & Sons, Ltd.
引用
收藏
页码：1705 / 1729
页数：25
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