LOGARITHMICALLY IMPROVED REGULARITY CRITERION FOR THE 3D GENERALIZED MAGNETO-HYDRODYNAMIC EQUATIONS

被引：0

作者：

赵继红 ^{[1
]}

刘桥 ^{[2
]}

机构：

[1] College of Science,Northwest A&F University

[2] Department of Mathematics,Hunan Normal University

来源：

ActaMathematicaScientia | 2014年 / 34卷 / 02期

关键词：

Generalized magneto-hydrodynamic equations; regularity criterion; multiplier spaces;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

This article proves the logarithmically improved Serrin’s criterion for solutions of the 3D generalized magneto-hydrodynamic equations in terms of the gradient of the velocity field, which can be regarded as improvement of results in [10](Luo Y W. On the regularity of generalized MHD equations. J Math Anal Appl, 2010, 365: 806–808) and [18](Zhang Z J.Remarks on the regularity criteria for generalized MHD equations. J Math Anal Appl, 2011,375: 799–802).

引用

页码：568 / 574

页数：7

共 50 条

[31] On the Regularity Criterion of Weak Solution for the 3D Viscous Magneto-Hydrodynamics Equations
Chen, Qionglei
Miao, Changxing
Zhang, Zhifei
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 284 (03) : 919 - 930
[32] On the Regularity Criterion of Weak Solution for the 3D Viscous Magneto-Hydrodynamics Equations
Qionglei Chen
Changxing Miao
Zhifei Zhang
Communications in Mathematical Physics, 2008, 284
[33] A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations
Fuyi Xu
Xinliang Li
Yujun Cui
Yonghong Wu
Zeitschrift für angewandte Mathematik und Physik, 2017, 68
[34] A REGULARITY CRITERION TO THE 3D BOUSSINESQ EQUATIONS
Alghamdi, A. M.
Ben Omrane, I
Gala, S.
Ragusa, M. A.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2019, 16 : 1795 - 1804
[35] A regularity criterion for the 3D Boussinesq equations
Wu, Fan
APPLICABLE ANALYSIS, 2022, 101 (08) : 3039 - 3047
[36] Logarithmically Improved Blow up Criterion for Smooths Solution to the 3D Micropolar Fluid Equations
Wang, Yin-Xia
Zhao, Hengjun
JOURNAL OF APPLIED MATHEMATICS, 2012,
[37] REMARKS ON LOGARITHMICALLY REGULARITY CRITERIA FOR THE 3D VISCOUS MHD EQUATIONS
Chen, Xiaochun
Gala, Sadek
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (03) : 465 - 474
[38] A logarithmically improved regularity criterion for the 3D MHD system involving the velocity field in homogeneous Besov spaces
Zhang, Zujin
ANNALES POLONICI MATHEMATICI, 2016, 118 (01) : 51 - 57
[39] A remark on the logarithmically improved regularity criterion for the micropolar fluid equations in terms of the pressure
Gala, Sadek
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (16) : 1945 - 1953
[40] 3D Magneto-hydrodynamic simulations of Parker instability with cosmic rays
Lo, Ying-Yi
Ko, Chung-Ming
Wang, Chih-Yueh
COMPUTER PHYSICS COMMUNICATIONS, 2011, 182 (01) : 177 - 179

← 1 2 3 4 5 →