Regularity criterion of three dimensional magneto-micropolar fluid equations with fractional dissipation

被引:0
作者
Wang, Yazhou [1 ]
Wang, Yuzhu [1 ]
机构
[1] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450011, Peoples R China
来源
ELECTRONIC RESEARCH ARCHIVE | 2024年 / 32卷 / 07期
关键词
magneto-micropolar fluid equations; fractional dissipation; regularity criterion; weak solutions; BLOW-UP CRITERION; GLOBAL REGULARITY; WEAK SOLUTIONS; 2D;
D O I
10.3934/era.2024199
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we investigate the regularity criterion of weak solutions to three-dimensional magneto-micropolar fluid equations with fractional dissipation. A regularity criterion is established via the third component of the velocity fields, the micro-rotational velocity fields, and the magnetic fields.
引用
收藏
页码:4416 / 4432
页数:17
相关论文
共 36 条
[1]   Global Well-Posedness of the Incompressible Magnetohydrodynamics [J].
Cai, Yuan ;
Lei, Zhen .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2018, 228 (03) :969-993
[2]   SUFFICIENT CONDITIONS FOR THE REGULARITY TO THE 3D NAVIER STOKES EQUATIONS [J].
Cao, Chongsheng .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2010, 26 (04) :1141-1151
[3]   Global well-posedness for n-dimensional magneto-micropolar equations with hyperdissipation [J].
Deng, Lihua ;
Shang, Haifeng .
APPLIED MATHEMATICS LETTERS, 2021, 111
[4]   Regularity criteria for 3D generalized incompressible magneto-micropolar fluid equations [J].
Fan, Jishan ;
Zhong, Xin .
APPLIED MATHEMATICS LETTERS, 2022, 127
[5]   Regularity criteria for the 3D magneto-micropolar fluid equations in the Morrey-Campanato space [J].
Gala, Sadek .
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2010, 17 (02) :181-194
[6]   Global regularity of the 3D magneto-micropolar equations with fractional dissipation [J].
Jia, Yan ;
Xie, Qianqian ;
Dong, Bo-Qing .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (01)
[7]   On axially symmetric incompressible magnetohydrodynamics in three dimensions [J].
Lei, Zhen .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (07) :3202-3215
[8]   New regularity criteria for the 3D magneto-micropolar fluid equations in Lorentz spaces [J].
Li, Zhouyu ;
Niu, Pengcheng .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (07) :6056-6066
[9]   Global Regularity of 2D Incompressible Magneto-Micropolar Fluid Equations with Partial Viscosity [J].
Lin, Hongxia ;
Liu, Sen ;
Zhang, Heng ;
Bai, Ru .
ACTA MATHEMATICA SCIENTIA, 2023, 43 (03) :1275-1300
[10]  
Liu JT, 2018, COMMUN MATH SCI, V16, P2147