Stability of the 2D Boussinesq equations with a velocity damping term in the strip domain

被引:1
|
作者
Luo, Zekai [1 ]
Ren, Xiaoxia [1 ]
机构
[1] North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
来源
关键词
Boussinesq equations; Strip domain; Low regularity; GLOBAL WELL-POSEDNESS;
D O I
10.1007/s00033-023-01951-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove the global well-posedness for the 2D Boussinesq equations with a velocity damping term around the equilibrium state (0, x(2)) in the strip domain R x (0, 1) with Navier-type slip boundary condition. It is worth mentioning that the results of low regularity are obtained using only the energy estimate and the structure of the equations.
引用
收藏
页数:20
相关论文
共 50 条
  • [21] Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation
    Boqing Dong
    Jiahong Wu
    Xiaojing Xu
    Ning Zhu
    Calculus of Variations and Partial Differential Equations, 2021, 60
  • [22] Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation
    Dong, Boqing
    Wu, Jiahong
    Xu, Xiaojing
    Zhu, Ning
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 60 (03)
  • [23] Global dynamics of 2D Boussinesq equations
    You, YC
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (07) : 4643 - 4654
  • [24] A class large solution of the 2D MHD equations with velocity and magnetic damping
    Li, Jinlu
    Yang, Minghua
    Yu, Yanghai
    JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (03)
  • [25] The optimal decay rates for solutions to the 3D Boussinesq equations with a velocity damping term in R3
    Dong, Lihua
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2025, 255
  • [26] Stability Near Hydrostatic Equilibrium to the 2D Boussinesq Equations Without Thermal Diffusion
    Lizheng Tao
    Jiahong Wu
    Kun Zhao
    Xiaoming Zheng
    Archive for Rational Mechanics and Analysis, 2020, 237 : 585 - 630
  • [27] Stability Near Hydrostatic Equilibrium to the 2D Boussinesq Equations Without Thermal Diffusion
    Tao, Lizheng
    Wu, Jiahong
    Zhao, Kun
    Zheng, Xiaoming
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2020, 237 (02) : 585 - 630
  • [28] Note on global stability of 2D anisotropic Boussinesq equations near the hydrostatic equilibrium
    Qiu, Hua
    Wang, Xia
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 85
  • [29] Stability and large-time behavior of the 2D Boussinesq equations with partial dissipation
    Lai, Suhua
    Wu, Jiahong
    Zhong, Yueyuan
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 271 : 764 - 796
  • [30] GLOBAL SMALL SOLUTION TO THE 2D MHD SYSTEM WITH A VELOCITY DAMPING TERM
    Wu, Jiahong
    Wu, Yifei
    Xu, Xiaojing
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2015, 47 (04) : 2630 - 2656