Regularity criteria for the 3D MHD equations via one directional derivative of the pressure

被引：16
|
作者：
Zhang, Zujin [1 ]
Li, Peng [2 ]
Yu, Gaohang [1 ]
机构：
[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China
[2] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 401卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Magneto-hydrodynamic equations; Regularity criterion; Global regularity; a priori estimates; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; ONE-COMPONENT; TERMS;
D O I：
10.1016/j.jmaa.2012.11.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the Cauchy problem for the 3D viscous MHD equations, and provide some regularity criteria involving only one directional derivative of the pressure, say partial derivative(3)p. In particular, if partial derivative(3)p is an element of L-alpha(0, T; L-beta(R-3)) with 2/alpha + 3/beta = 2, 3/2 <= beta <= 3, then the solution remains smooth on [0, T]. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.
引用
收藏
页码：66 / 71
页数：6
相关论文
共 50 条
  • [21] 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
  • [22] A Regularity Criterion in Terms of Pressure for the 3D Viscous MHD Equations
    Gala, Sadek
    Ragusa, Maria Alessandra
    Zhang, Zujin
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2017, 40 (04) : 1677 - 1690
  • [23] Regularity criteria for 3D MHD equations via mixed velocity-magnetic gradient tensors
    Jia, Xuanji
    Zhou, Yong
    NONLINEARITY, 2023, 36 (02) : 1279 - 1301
  • [24] Weighted Regularity Criteria of Weak Solutions to the Incompressible 3D MHD Equations
    Kim, Jae-Myoung
    MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2018, 21 (04)
  • [25] Regularity criteria for the 3D generalized MHD and Hall-MHD systems
    Jiang, Zaihong
    Zhu, Mingxuan
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (01) : 105 - 122
  • [26] On the regularity criteria for the 3D magneto-micropolar fluids in terms of one directional derivative
    Xiang, Zhaoyin
    Yang, Huizhi
    BOUNDARY VALUE PROBLEMS, 2012,
  • [27] A new regularity criterion for the 3D incompressible MHD equations via partial derivatives
    Gala, Sadek
    Ragusa, Maria Alessandra
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 481 (02)
  • [28] A new regularity criterion for the 3D incompressible MHD equations in terms of one component of the gradient of pressure
    Jia, Xuanji
    Zhou, Yong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 396 (01) : 345 - 350
  • [29] 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,
  • [30] 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
12345