Global well-posedness for axisymmetric MHD equations with vertical dissipation and vertical magnetic diffusion

被引：7
作者：
Wang, Peng [1 ]
Guo, Zhengguang [2 ,3 ]
机构：
[1] Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China
[2] Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
[3] Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China
来源：
NONLINEARITY | 2022年 / 35卷 / 05期
关键词：
MHD equations; global regularity; axisymmetric solutions; AXIALLY-SYMMETRIC FLOWS; WEAK SOLUTIONS; REGULARITY; SYSTEM; MAGNETOHYDRODYNAMICS;
D O I：
10.1088/1361-6544/ac62e1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the unique global strong axisymmetric solutions for the incompressible MHD equations with only vertical dissipation and vertical magnetic diffusion are established, where no smallness assumptions on the initial data are required. One of the key ingredients of the analysis is to obtain higher-order regularity estimates for velocity and magnetic fields, where the axisymmetry of the solutions and some new L (2) energy estimates play an important role.
引用
收藏
页码：2147 / 2174
页数：28
相关论文
共 50 条
  • [1] Low regularity global well-posedness of axisymmetric MHD equations with vertical dissipation and magnetic diffusion
    Abidi, Hammadi
    Gui, Guilong
    Ke, Xueli
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 409 : 635 - 663
  • [2] Global well-posedness for axisymmetric MHD system with only vertical viscosity
    Jiu, Quansen
    Yu, Huan
    Zheng, Xiaoxin
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (05) : 2954 - 2990
  • [3] Global well-posedness and optimal decay for incompressible MHD equations with fractional dissipation and magnetic diffusion
    Jin, Meilin
    Jiu, Quansen
    Xie, Yaowei
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2024, 75 (02):
  • [4] GLOBAL REGULARITY FOR THE 3D AXISYMMETRIC MHD EQUATIONS WITH HORIZONTAL DISSIPATION AND VERTICAL MAGNETIC DIFFUSION
    Jiu, Quansen
    Liu, Jitao
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (01) : 301 - 322
  • [5] The Global Well-Posedness and Decay Estimates for the 3D Incompressible MHD Equations With Vertical Dissipation in a Strip
    Lin, Hongxia
    Suo, Xiaoxiao
    Wu, Jiahong
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023, 2023 (22) : 19115 - 19155
  • [6] Global well-posedness for the two-dimensional nonlinear Boussinesq equations with vertical dissipation
    Wu, Gang
    Zheng, Xiaoxin
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (09) : 2891 - 2926
  • [7] Global Well-Posedness for MHD Equations with Magnetic Diffusion and Damping Term in R2
    Feng, Weixun
    Qin, Dongdong
    Zhu, Rui
    Chen, Zhi
    JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (04)
  • [8] GLOBAL WELL-POSEDNESS OF THE MHD EQUATIONS IN A HOMOGENEOUS MAGNETIC FIELD
    Wei, Dongyi
    Zhang, Zhifei
    ANALYSIS & PDE, 2017, 10 (06): : 1361 - 1406
  • [9] On the Global Well-Posedness of the 3D Axisymmetric Resistive MHD Equations
    Hassainia, Zineb
    ANNALES HENRI POINCARE, 2022, 23 (08): : 2877 - 2917
  • [10] Global well-posedness for the 2D MHD equations without magnetic diffusion in a strip domain
    Ren, Xiaoxia
    Xiang, Zhaoyin
    Zhang, Zhifei
    NONLINEARITY, 2016, 29 (04) : 1257 - 1291
12345