Dimension Estimate of the Global Attractor for a 3D Brinkman- Forchheimer Equation
Dimension Estimate of the Global Attractor for a 3D Brinkman- Forchheimer Equation
复制标题
DOI：
10.1051/wujns/2023281001
复制
发表时间：
2023-02
影响因子：
--
通讯作者：
Xue-li Song;Xi Deng;B. Qiao
中科院分区：
文献类型：
--
作者：
Xue-li Song;Xi Deng;B. Qiao
本文研究了三维布林克曼 - 福希海默方程全局吸引子的维数估计。基于半群关于初始数据的可微性，我们证明了三维布林克曼 - 福希海默方程强解的全局吸引子具有有限的豪斯多夫维数和分形维数。
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 Brinkman-Forchheimer equation has finite Hausdorff and fractal dimensions.