Finite-dimensional global attractor of the Cahn-Hilliard-Brinkman system

被引：7

作者：

Li, Fang ^{[1
]}

Zhong, Chengkui ^{[1
]}

You, Bo ^{[2
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 434卷 / 01期

基金：

美国国家科学基金会;

关键词：

Cahn-Hilliard-Brinkman system; Dissipativity; Asymptotical a priori estimates; Global attractor; Fractal dimension; LONG-TIME BEHAVIOR; WELL-POSEDNESS; FLUID; VISCOSITY; MODEL; FLOW;

D O I：

10.1016/j.jmaa.2015.09.026

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 the asymptotic behavior of the Cahn-Hilliard-Brinkman system. We obtain the existence of a finite fractal dimensional global attractor A in H-4(Omega)boolean AND V-I by asymptotical a priori estimates for the Cahn-Hilliard-Brinkman system. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：599 / 616

页数：18

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