On the Global Regularity for the 3D Magnetohydrodynamics Equations Involving Partial Components

被引：0
|
作者：
Chenyin Qian
机构：
[1] Zhejiang Normal University,Department of Mathematics
来源：
Journal of Mathematical Fluid Mechanics | 2018年 / 20卷
关键词：
3D MHD equations; weak solution; regularity criterion; Primary 35Q35; Secondary 76D03;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the regularity criteria of the three-dimensional magnetohydrodynamics system in terms of some components of the velocity field and the magnetic field. With a decomposition of the four nonlinear terms of the system, this result gives an improvement of some corresponding previous works (Yamazaki in J Math Fluid Mech 16: 551–570, 2014; Jia and Zhou in Nonlinear Anal Real World Appl 13: 410–418, 2012).
引用
收藏
页码：117 / 131
页数：14
相关论文
共 50 条
  • [21] Refined regularity class of suitable weak solutions to the 3D magnetohydrodynamics equations with an application
    Yanqing Wang
    Gang Wu
    Daoguo Zhou
    Zeitschrift für angewandte Mathematik und Physik, 2016, 67
  • [22] Global well-posedness of the 3D hydrostatic magnetohydrodynamics equations
    Du, Lili
    Li, Dan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (12) : 10040 - 10067
  • [23] Refined regularity class of suitable weak solutions to the 3D magnetohydrodynamics equations with an application
    Wang, Yanqing
    Wu, Gang
    Zhou, Daoguo
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2016, 67 (06):
  • [24] Regularity Criterion for 3D Boussinesq Equations via Partial Horizontal Derivatives of Two Velocity Components
    Wu, Fan
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2021, 52 (02): : 267 - 279
  • [25] Regularity Criterion for 3D Boussinesq Equations via Partial Horizontal Derivatives of Two Velocity Components
    Fan Wu
    Bulletin of the Brazilian Mathematical Society, New Series, 2021, 52 : 267 - 279
  • [26] Global weighted regularity for the 3D axisymmetric MHD equations
    Guo, Zhengguang
    Wang, Yufei
    Li, Yeping
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (04):
  • [27] Global weighted regularity for the 3D axisymmetric MHD equations
    Zhengguang Guo
    Yufei Wang
    Yeping Li
    Zeitschrift für angewandte Mathematik und Physik, 2022, 73
  • [28] Some regularity criteria for the 3D incompressible magnetohydrodynamics
    Ji, Eunjeong
    Lee, Jihoon
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 369 (01) : 317 - 322
  • [29] Some Interior Regularity Criteria Involving Two Components for Weak Solutions to the 3D Navier–Stokes Equations
    Yanqing Wang
    Gang Wu
    Daoguo Zhou
    Journal of Mathematical Fluid Mechanics, 2018, 20 : 2147 - 2159
  • [30] REGULARITY CRITERIA FOR THE 3D MHD EQUATIONS VIA PARTIAL DERIVATIVES
    Jia, Xuanji
    Zhou, Yong
    KINETIC AND RELATED MODELS, 2012, 5 (03) : 505 - 516
12345