scholarly journals Regularity criterion for a weak solution to the three-dimensional magneto-micropolar fluid equations

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Yinxia Wang
Keyword(s):  
Weak Solution ◽  
Micropolar Fluid ◽  
Three Dimensional ◽  
Regularity Criterion ◽  
Fluid Equations ◽  
Micropolar Fluid Equations

scholarly journals Logarithmical Regularity Criteria of the Three-Dimensional Micropolar Fluid Equations in terms of the Pressure

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Yan Jia ◽  
Jing Zhang ◽  
Bo-Qing Dong
Keyword(s):  
Partial Derivative ◽  
Besov Spaces ◽  
Micropolar Fluid ◽  
Three Dimensional ◽  
Regularity Criterion ◽  
Regularity Criteria ◽  
Lebesgue Spaces ◽  
Fluid Equations ◽  
Micropolar Fluid Equations

This paper is devoted to the regularity criterion of the three-dimensional micropolar fluid equations. Some new regularity criteria in terms of the partial derivative of the pressure in the Lebesgue spaces and the Besov spaces are obtained which improve the previous results on the micropolar fluid equations.

scholarly journals A Regularity Criterion for the Magneto-Micropolar Fluid Equations inB˙∞,∞−1

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Zhihao Tang ◽  
Gang Wang ◽  
Haiwa Guan
Keyword(s):  
Cauchy Problem ◽  
Besov Space ◽  
Micropolar Fluid ◽  
Three Dimensional ◽  
Regularity Criterion ◽  
Fluid Equations ◽  
The Cauchy Problem ◽  
Homogeneous Besov Space ◽  
Micropolar Fluid Equations

The paper is dedicated to study of the Cauchy problem for the magneto-micropolar fluid equations in three-dimensional spaces. A new logarithmically improved regularity criterion for the magneto-micropolar fluid equations is established in terms of the pressure in the homogeneous Besov spaceB˙∞,∞−1.

scholarly journals Regularity Criterion for Weak Solution to the 3D Micropolar Fluid Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Yu-Zhu Wang ◽  
Zigao Chen
Keyword(s):  
Weak Solution ◽  
Micropolar Fluid ◽  
Directional Derivative ◽  
Regularity Criterion ◽  
Fluid Equations ◽  
Micropolar Fluid Equations

Regularity criterion for the 3D micropolar fluid equations is investigated. We prove that, for someT>0, if∫0T∥vx3∥Lϱρdt<∞, where3/ϱ+2/ρ≤1andϱ≥3, then the solution(v,w)can be extended smoothly beyondt=T. The derivativevx3can be substituted with any directional derivative ofv.

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