Dimension Estimate of the Global Attractor for a 3D Brinkman-Forchheimer Equation  

作　　者：SONG Xueli DENG Xi 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1期1-10,共10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 dimension estimate of global attractor for a 3D Brinkman-Forchheimer equation.Based on the differentiability of the semigroup with respect to the initial data,we show that the global attractor of strong solution of the 3D BrinkmanForchheimer equation has finite Hausdorff and fractal dimensions.

关 键 词：Brinkman-Forchheimer equation global attractor Hausdorff dimension fractal dimension 

分 类 号：O175.29[理学—数学]