On Regularity Criteria for the 3D Incompressible MHD Equations Involving One Velocity Component

被引：35

作者：

Jia, Xuanji ^{[1
]}

Zhou, Yong ^{[2
,3
]}

机构：

[1] City Univ Hong Kong, Dept Math, Tat Chee Ave, Kowloon, Hong Kong, Peoples R China

[2] Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China

[3] King Abdulaziz Univ, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2016年 / 18卷 / 01期

关键词：

MHD equations; weak solutions; regularity criteria; ONE CURRENT-DENSITY; WEAK SOLUTIONS;

D O I：

10.1007/s00021-015-0246-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By introducing a new a priori estimate for the -equation, we establish some regularity criteria for the weak solutions of the 3D incompressible MHD equations in terms of one velocity component and two magnetic field components. Our results improve some recent works.

引用

页码：187 / 206

页数：20

共 50 条

[41] Logarithmically improved regularity criteria for the 3D viscous MHD equations
Zhou, Yong
Fan, Jishan
[J]. FORUM MATHEMATICUM, 2012, 24 (04) : 691 - 708
[42] Remarks on the regularity criteria for the 3D MHD equations in the multiplier spaces
Zujin Zhang
Xiqin Ouyang
Dingxing Zhong
Shulin Qiu
[J]. Boundary Value Problems, 2013
[43] Regularity criteria of the three-dimensional MHD system involving one velocity and one vorticity component
Yamazaki, Kazuo
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 135 : 73 - 83
[44] 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
[45] Regularity criteria for the 3D magnetohydrodynamics system involving only two velocity components
Zhang, Shunhang
Guo, Zhengguang
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (15) : 9014 - 9023
[46] Anisotropic Pro di-Serrin regularity criteria for the 3D Navier-Stokes equations involving the gradient of one velocity component
Guo, Zhengguang
Chol-Jun, O.
[J]. APPLIED MATHEMATICS LETTERS, 2023, 145
[47] A Regularity Criterion in Terms of Pressure for the 3D Viscous MHD Equations
Gala, Sadek
Ragusa, Maria Alessandra
Zhang, Zujin
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2017, 40 (04) : 1677 - 1690
[48] A note on regularity criteria in terms of pressure for the 3D viscous MHD equations
S. Gala
M. A. Ragusa
[J]. Mathematical Notes, 2017, 102 : 475 - 479
[49] On Regularity Criteria via Pressure for the 3D MHD Equations in a Half Space
Kim, Jae-Myoung
[J]. ADVANCES IN MATHEMATICAL PHYSICS, 2022, 2022
[50] Logarithmically improved regularity criteria for the 3D magnetohydrodynamic equations
Zhang, Honglin
Li, Li
Zhang, Qingning
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (18) : 14417 - 14430

← 1 2 3 4 5 →