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

Q3 Multidisciplinary

Wuhan University Journal of Natural Sciences Pub Date : 2023-08-01 DOI:10.1051/wujns/2023284282

Xueli Song, Shuang Xu, Baoming Qiao

引用次数: 0

Abstract

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 [see formula in PDF].

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一类三维Brinkman-Forchheimer方程在poincar无界区域上的全局吸引子的存在性

本文研究了一类满足Poincaré不等式的三维Brinkman-Forchheimer方程在某些无界域中全局吸引子的存在性。我们使用尾部估计方法来建立解算子的渐近紧性，然后在[见PDF中的公式]中证明全局吸引子的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Wuhan University Journal of Natural Sciences Multidisciplinary-Multidisciplinary

CiteScore

0.40

自引率

0.00%

发文量

2485

期刊介绍： Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.