Existence of Global Attractor for a 3D Brinkman-Forchheimer Equfation in Some Poincaré Unbounded Domains
Existence of Global Attractor for a 3D Brinkman-Forchheimer Equfation in Some Poincaré Unbounded Domains
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DOI：
10.1051/wujns/2023284282
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发表时间：
2023-08
影响因子：
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通讯作者：
Xueli Song;Shuang Xu;Baoming Qiao
中科院分区：
文献类型：
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作者：
Xueli Song;Shuang Xu;Baoming Qiao
本文研究了一类满足庞加莱不等式的无界区域中三维布林克曼 - 福希海默方程全局吸引子的存在性。我们运用尾部估计方法来确立解算子的渐近紧性，进而证明全局吸引子的存在性（详见PDF中的公式）。
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].