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.

引用

页数：9

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