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

页码：1705 / 1729

页数：25

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