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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:434

Article

Li, Fang¹  Zhong, Chengkui¹  You, Bo² 

[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

关键词: Cahn-Hilliard-Brinkman system;    Dissipativity;    Asymptotical a priori estimates;    Global attractor;    Fractal dimension;   

DOI  :  10.1016/j.jmaa.2015.09.026

来源: Elsevier

【 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.

【 授权许可】

Free