Blow-up criteria of smooth solutions to the three-dimensional magneto-micropolar fluid equations

被引：7

作者：

Wang, Yinxia ^{[1
]}

机构：

[1] North China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450045, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2015年

关键词：

magneto-micropolar fluid equations; smooth solutions; blow-up criteria; REGULARITY CRITERION; WEAK SOLUTIONS; EXISTENCE; MAGNETOHYDRODYNAMICS; UNIQUENESS;

D O I：

10.1186/s13661-015-0382-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this short article, the initial value problem for the 3D magneto-micropolar fluid equations is investigated. Some new blow-up criteria of smooth solutions in terms of the vorticity and the velocity in a homogenous Besov space are established, respectively.

引用

页码：1 / 10

页数：10

共 38 条

[21]

Ortega-Torres E., 1999, ABSTR APPL ANAL, V4, P109

[22]

Ortega-Torres E.E., 1996, Revista de Matematicas Aplicades, V17, P75

[23] On the Regularity for Solutions of the Micropolar Fluid Equations [J].

Ortega-Torres, Elva ;

Rojas-Medar, Marko .

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2009, 122 :27-37

[24]

Rojas-Medar M., 1998, REV MATH COMP, V11, P443, DOI 10.5209/revREMA.1998.v11.n2.17276

[25] Magneto-micropolar fluid motion: Existence and uniqueness of strong solution [J].

RojasMedar, MA .

MATHEMATISCHE NACHRICHTEN, 1997, 188 :301-319

[26] Regularity criterion for a weak solution to the three-dimensional magneto-micropolar fluid equations [J].

Wang, Yinxia .

BOUNDARY VALUE PROBLEMS, 2013,

[27] A Beale-Kato-Madja Criterion for Magneto-Micropolar Fluid Equations with Partial Viscosity [J].

Wang, Yu-Zhu ;

Hu, Liping ;

Wang, Yin-Xia .

BOUNDARY VALUE PROBLEMS, 2011,

[28] A logarithmically improved blow-up criterion for smooth solutions to the 3D micropolar fluid equations [J].

Wang, Yu-Zhu ;

Yuan, Hecai .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (04) :1904-1912

[29] A LOGARITHMALLY IMPROVED BLOW-UP CRITERION OF SMOOTH SOLUTIONS FOR THE THREE- DIMENSIONAL MHD EQUATIONS [J].

Wang, Yu-Zhu ;

Zhao, Hengjun ;

Wang, Yin-Xia .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2012, 23 (02)

[30] Regularity Criterion for Weak Solution to the 3D Micropolar Fluid Equations [J].

Wang, Yu-Zhu ;

Chen, Zigao .

JOURNAL OF APPLIED MATHEMATICS, 2011,

← 1 2 3 4 →