Two regularity criteria for the 3D MHD equations

被引：252
|
作者：
Cao, Chongsheng [2 ]
Wu, Jiahong [1 ]
机构：
[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA
[2] Florida Int Univ, Dept Math, Miami, FL 33199 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 248卷 / 09期
基金：
美国国家科学基金会;
关键词：
3D MHD equations; Regularity criteria; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; WELL-POSEDNESS; HYDRODYNAMICS; PRESSURE; SINGULARITIES; INEQUALITIES; VORTICITY; EVOLUTION; BOUNDS;
D O I：
10.1016/j.jde.2009.09.020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work establishes two regularity criteria for the 3D incompressible MHD equations. The first one is in terms of the derivative of the velocity field in one direction while the second one requires suitable boundedness of the derivative of the pressure in one direction. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：2263 / 2274
页数：12
相关论文
共 50 条
  • [1] Regularity criteria for 3D Hall-MHD equations
    Jia, Xuanji
    Zhou, Yong
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (06):
  • [2] Regularity criteria for the 3D MHD equations in term of velocity
    Bie, Qunyi
    Wang, Qiru
    Yao, Zheng-an
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (12) : 2506 - 2516
  • [3] Regularity criteria for the 3D MHD equations in terms of the pressure
    Zhou, Yong
    [J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2006, 41 (10) : 1174 - 1180
  • [4] Some new regularity criteria for the 3D MHD equations
    Ni, Lidiao
    Guo, Zhengguang
    Zhou, Yong
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 396 (01) : 108 - 118
  • [5] Regularity criteria for 3D Hall-MHD equations
    Xuanji Jia
    Yong Zhou
    [J]. Zeitschrift für angewandte Mathematik und Physik, 2022, 73
  • [6] Remarks on the global regularity criteria for the 3D MHD equations via two components
    Zujin Zhang
    [J]. Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 977 - 987
  • [7] Remarks on the global regularity criteria for the 3D MHD equations via two components
    Zhang, Zujin
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (03): : 977 - 987
  • [8] Regularity criteria of axisymmetric weak solutions to the 3D MHD equations
    Guo, Zhengguang
    Wang, Yu
    Li, Yeping
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2021, 62 (12)
  • [9] Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
    Yong Zhou
    Sadek Gala
    [J]. Zeitschrift für angewandte Mathematik und Physik, 2010, 61 : 193 - 199
  • [10] On regularity criteria in terms of pressure for the 3D viscous MHD equations
    Duan, Huiling
    [J]. APPLICABLE ANALYSIS, 2012, 91 (05) : 947 - 952
12345