Existence of Global Attractor for a 3D Brinkman-Forchheimer Equation in Some Poincaré Unbounded Domains  

作　　者：SONG Xueli XU Shuang QIAO Baoming 

机构地区：[1]College of Science,Xi'an University of Science and Technology,Xi'an 710054,Shaanxi,China

出　　处：《Wuhan University Journal of Natural Sciences》2023年第4期282-290,共9页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (12001420)。

摘　　要：In this paper, we study the existence of global attractor of a class of three-dimensional Brinkman-Forchheimer equation in some unbounded domains which satisfies Poincaré inequality. We use the tail estimation method to establish the asymptotic compactness of the solution operator and then prove the existence of the global attractor in(H_0~1(Ω))~3.

关 键 词：Brinkman-Forchheimer equation global attractor asymptotic compactness tail estimation method 

分 类 号：O175.29[理学—数学]