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
收藏
页数：9
相关论文
共 50 条
  • [31] On well-posedness of Navier-Stokes variational inequalities
    Han, Weimin
    Yao, Yuan
    APPLIED MATHEMATICS LETTERS, 2024, 155
  • [32] WELL-POSEDNESS AND DECAY OF SOLUTIONS TO 3D GENERALIZED NAVIER-STOKES EQUATIONS
    Zhao, Xiaopeng
    Zhou, Yong
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (02): : 795 - 813
  • [33] Global well-posedness of 2D Hyperbolic perturbation of the Navier-Stokes system in a thin strip
    Aarach, Nacer
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2024, 76
  • [34] Well-posedness of an inverse problem of Navier-Stokes equations with the final overdetermination
    Fan, J.
    Nakamura, G.
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2009, 17 (06): : 565 - 584
  • [35] LOCAL WELL-POSEDNESS OF ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH VACUUM
    Gong, Huajun
    Li, Jinkai
    Liu, Xian-Gao
    Zhang, Xiaotao
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2020, 18 (07) : 1891 - 1909
  • [36] INHOMOGENEOUS BOUNDARY VALUE PROBLEMS FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS: WELL-POSEDNESS AND SENSITIVITY ANALYSIS
    Plotnikov, P. I.
    Ruban, E. V.
    Sokolowski, J.
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2008, 40 (03) : 1152 - 1200
  • [37] Global Well-Posedness of 2D Compressible Navier–Stokes Equations with Large Data and Vacuum
    Quansen Jiu
    Yi Wang
    Zhouping Xin
    Journal of Mathematical Fluid Mechanics, 2014, 16 : 483 - 521
  • [38] On the global well-posedness for the 2D incompressible Keller-Segel-Navier-Stokes equations
    Zhang, Qian
    Zhang, Yehua
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2019, 99 (11):
  • [39] On the well-posedness of 2-D incompressible Navier-Stokes equations with variable viscosity in critical spaces
    Xu, Huan
    Li, Yongsheng
    Zhai, Xiaoping
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (08) : 6604 - 6637
  • [40] The well-posedness for the 3D incompressible axisymmetric Navier-Stokes equations in BMO-2
    Guo, Congchong
    Wang, Qianying
    Lu, Ming
    APPLIED MATHEMATICS LETTERS, 2020, 102
12345