武汉大学自然科学学报(英文版)2023,Vol.28Issue(1) :1-10.DOI:10.1051/wujns/2023281001

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

SONG Xueli DENG Xi QIAO Baoming
武汉大学自然科学学报(英文版)2023,Vol.28Issue(1) :1-10.DOI:10.1051/wujns/2023281001

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

SONG Xueli 1DENG Xi 1QIAO Baoming1
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作者信息

  • 1. College of Science,Xi'an University of Science and Technology,Xi'an 710054,Shaanxi,China
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Abstract

In this paper,we study the dimension estimate of global attractor for a 3D Brinkman-Forchheimer equation.Based on the differ-entiability 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.

Key words

Brinkman-Forchheimer equation/global attractor/Hausdorff dimension/fractal dimension

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基金项目

National Natural Science Foundation of China(12001420)

出版年

2023
武汉大学自然科学学报(英文版)
武汉大学

武汉大学自然科学学报(英文版)

CSTPCDCSCD北大核心
影响因子:0.066
ISSN:1007-1202
参考文献量3
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