A Regularity Criterion for the 3D Generalized MHD Equations

被引：14
|
作者：
Fan, Jishan [1 ]
Alsaedi, Ahmed [2 ]
Hayat, Tasawar [2 ,3 ]
Nakamura, Gen [4 ]
Zhou, Yong [2 ,5 ]
机构：
[1] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Jiangsu, Peoples R China
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[3] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[4] Inha Univ, Dept Math, Inchon 402751, South Korea
[5] Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China
来源：
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2014年 / 17卷 / 3-4期
关键词：
Generalized MHD system; Regularity criterion; Fractional diffusion; MAGNETOHYDRODYNAMIC EQUATIONS; GLOBAL REGULARITY;
D O I：
10.1007/s11040-014-9159-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper proves a new regularity criterion for the 3D generalized MHD system with fractional diffusion terms (-Delta)alpha(u) and (-Delta)(beta)b with 0 < alpha < 5/4 <= beta.
引用
收藏
页码：333 / 340
页数：8
相关论文
共 50 条
  • [1] A Regularity Criterion for the 3D Generalized MHD Equations
    Jishan Fan
    Ahmed Alsaedi
    Tasawar Hayat
    Gen Nakamura
    Yong Zhou
    Mathematical Physics, Analysis and Geometry, 2014, 17 : 333 - 340
  • [2] On the regularity criterion for the 3D generalized MHD equations in Besov spaces
    Zhang, Shuanghu
    Qiu, Hua
    BOUNDARY VALUE PROBLEMS, 2014, : 1 - 13
  • [3] On the regularity criterion for the 3D generalized MHD equations in Besov spaces
    Shuanghu Zhang
    Hua Qiu
    Boundary Value Problems, 2014
  • [4] A logarithmic regularity criterion for the 3D generalized MHD system
    Fan, Jishan
    Li, Jinkai
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (18) : 5279 - 5283
  • [5] Remark on an improved regularity criterion for the 3D MHD equations
    Xu, Xiaojing
    Ye, Zhuan
    Zhang, Zujin
    APPLIED MATHEMATICS LETTERS, 2015, 42 : 41 - 46
  • [6] On the regularity criterion of weak solutions for the 3D MHD equations
    Gala, Sadek
    Ragusa, Maria Alessandra
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (06):
  • [7] On regularity criterion to the 3D axisymmetric incompressible MHD equations
    Liu, Jitao
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (15) : 4535 - 4544
  • [8] On the regularity criterion of weak solutions for the 3D MHD equations
    Sadek Gala
    Maria Alessandra Ragusa
    Zeitschrift für angewandte Mathematik und Physik, 2017, 68
  • [9] A Regularity Criterion for the 3D Density-Dependent MHD Equations
    Alghamdi, Ahmad Mohammad
    Gala, Sadek
    Ragusa, Maria Alessandra
    Zhang, Zujin
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2021, 52 (02): : 241 - 251
  • [10] A Regularity Criterion for the 3D MHD Equations in a Local BMO Space
    Kim, Jae-Myoung
    JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2022, 24 (02)
12345