On regularity criteria in terms of pressure for the 3D viscous MHD equations

被引：37
|
作者：
Duan, Huiling [1 ]
机构：
[1] Chongqing Three Gorges Univ, Coll Math & Comp Sci, Chongqing 404000, Peoples R China
来源：
APPLICABLE ANALYSIS | 2012年 / 91卷 / 05期
关键词：
MHD equations; regularity criteria; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; MAGNETOHYDRODYNAMIC EQUATIONS;
D O I：
10.1080/00036811.2011.556626
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider regularity of solutions to the 3D viscous MHD equations. Regularity criteria are established in terms of the pressure or the gradient of pressure, which improve the results in Y. Zhou [Regularity criteria for the 3D MHD equations in terms of the pressure, Int. J. Non-Linear Mech. 41(10) (2006), pp. 1174-1180] where additional conditions on the magnetic field are also needed.
引用
收藏
页码：947 / 952
页数：6
相关论文
共 50 条
  • [21] ON THE REGULARITY CRITERIA FOR THE GENERALIZED VISCOUS MHD EQUATIONS
    Chen, Xiaochun
    Gala, Sadek
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2011, 4 (03) : 403 - 411
  • [22] Regularity criteria in terms of the pressure for the three-dimensional MHD equations
    Lin, Hongxia
    Li, Shan
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 221 : 164 - 168
  • [23] Regularity criteria of axisymmetric weak solutions to the 3D MHD equations
    Guo, Zhengguang
    Wang, Yu
    Li, Yeping
    JOURNAL OF MATHEMATICAL PHYSICS, 2021, 62 (12)
  • [24] Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
    Yong Zhou
    Sadek Gala
    Zeitschrift für angewandte Mathematik und Physik, 2010, 61 : 193 - 199
  • [25] Remark on regularity criteria of a weak solution to the 3D MHD equations
    Kim, Jae-Myoung
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017, (25) : 1 - 8
  • [26] Remarks on the regularity criteria for the 3D MHD equations in the multiplier spaces
    Zhang, Zujin
    Ouyang, Xiqin
    Zhong, Dingxing
    Qiu, Shulin
    BOUNDARY VALUE PROBLEMS, 2013,
  • [27] Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
    Zhou, Yong
    Gala, Sadek
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2010, 61 (02): : 193 - 199
  • [28] Remarks on the regularity criteria for the 3D MHD equations in the multiplier spaces
    Zujin Zhang
    Xiqin Ouyang
    Dingxing Zhong
    Shulin Qiu
    Boundary Value Problems, 2013
  • [29] Regularity criteria for the 3D MHD equations involving partial components
    Jia, Xuanji
    Zhou, Yong
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (01) : 410 - 418
  • [30] New regularity criteria for the 3D Hall-MHD equations
    Alghamdi, Ahmad Mohammad
    Gala, Sadek
    Ragusa, Maria Alessandra
    ANNALES POLONICI MATHEMATICI, 2018, 121 (01) : 7 - 20
12345