GLOBAL WELL-POSEDNESS OF 3D MAGNETO-MICROPOLAR FLUID EQUATIONS WITHOUT MAGNETIC DIFFUSION

被引:0
|
作者
Wang, Yazhou [1 ]
Wang, Yuzhu [1 ]
机构
[1] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450011, Peoples R China
关键词
Magneto-micropolar fluid equations; without magnetic diffusion; global stability; periodic boundary conditions; 3-D MHD SYSTEM; REGULARITY CRITERION; WEAK SOLUTIONS; EXISTENCE; MAGNETOHYDRODYNAMICS; DISSIPATION;
D O I
10.3934/eect.2025011
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
. This paper investigates 3D magneto-micropolar fluid equations without magnetic diffusion on periodic boxes. When the magnetic diffusion disappears, we demonstrate the global existence of the smooth solutions under the condition that the initial values is small enough. Here we assume that the average of the initial values is equal to zero, and the initial values have some symmetry. The proof is mainly based on the time-weighted energy estimate, poincare<acute accent> type inequality and bootstrapping argument.
引用
收藏
页数:23
相关论文
共 50 条
  • [1] Global well-posedness of the 3D magneto-micropolar equations with damping
    Liu, Hui
    Sun, Chengfeng
    Meng, Fanwei
    APPLIED MATHEMATICS LETTERS, 2019, 94 (38-43) : 38 - 43
  • [2] Global Well-Posedness of Compressible Magneto-micropolar Fluid Equations
    Jia, Cuiman
    Tan, Zhong
    Zhou, Jianfeng
    JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (11)
  • [3] Global Well-Posedness of Compressible Magneto-micropolar Fluid Equations
    Cuiman Jia
    Zhong Tan
    Jianfeng Zhou
    The Journal of Geometric Analysis, 2023, 33
  • [4] Global well-posedness of 3D magneto-micropolar fluid equations with mixed partial viscosity
    Wang, Yinxia
    Wang, Keyan
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 33 : 348 - 362
  • [5] GLOBAL WELL-POSEDNESS AND EXPONENTIAL DECAY FOR 3D NONHOMOGENEOUS MAGNETO-MICROPOLAR FLUID EQUATIONS WITH VACUUM
    Zhong, Xin
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 21 (02) : 493 - 515
  • [6] Global well-posedness and large time behavior for the 3D magneto-micropolar equations
    Shang, Haifeng
    Liu, Chao
    APPLICABLE ANALYSIS, 2025, 104 (02) : 277 - 292
  • [7] Global well-posedness of 3D magneto-micropolar fluid equations with mixed partial viscosity near an equilibrium
    Yuzhu Wang
    Weijia Li
    Zeitschrift für angewandte Mathematik und Physik, 2021, 72
  • [8] Global well-posedness of 3D magneto-micropolar fluid equations with mixed partial viscosity near an equilibrium
    Wang, Yuzhu
    Li, Weijia
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 72 (01):
  • [9] Well-posedness for the hyperviscous magneto-micropolar equations
    Liu, Hui
    Sun, Chengfeng
    Xin, Jie
    APPLIED MATHEMATICS LETTERS, 2020, 107
  • [10] Global well-posedness and decay estimates to the 3D Cauchy problem of nonhomogeneous magneto-micropolar fluid equations with vacuum
    Yang, Xinying
    Zhong, Xin
    JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (01)