Well-posedness and dynamics of 2D Navier-Stokes equations with moving boundary

被引：0
|
作者：
Chang, Qingquan [1 ]
Li, Dandan [2 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[2] Great Bay Univ, Dongguan, Guangdong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 02期
基金：
中国国家自然科学基金;
关键词：
PULLBACK ATTRACTORS;
D O I：
10.1063/5.0113626
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate the longtime dynamical behavior of 2D Navier-Stokes equations with a moving boundary. We obtain the well-posedness and dissipation through the penalty method. Then, we derive the regularity by applying a new penalty. Finally, we show that the induced dynamical system has pullback exponential attractors.
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页数：9
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