3-D viscous Cahn-Hilliard equation with memory

被引：19

作者：

Conti, Monica ^{[1
]}

Mola, Gianluca ^{[1
]}

机构：

[1] Politecn Milan, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2009年 / 32卷 / 11期

关键词：

Cahn-Hilliard equations; memory relaxation; singular limit; robust exponential attractors; PHASE-FIELD MODEL; EXPONENTIAL ATTRACTORS; SYSTEM; RELAXATION; STABILITY; LIMIT;

D O I：

10.1002/mma.1091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with the memory relaxation of the viscous Cahn-Hilliard equation in 3-D, covering the well-known hyperbolic version of the model. We study the long-term dynamic of the system in dependence of the scaling parameter of the memory kernel c and of the viscosity coefficient delta. In particular we construct a family of exponential attractors, which is robust as both epsilon and delta go to zero, provided that E is linearly controlled by delta. Copyright (C) 2008 John Wiley & Sons, Ltd.

引用

页码：1370 / 1395

页数：26

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