scholarly journals Blow-up criteria of smooth solutions to the three-dimensional micropolar fluid equations in Besov space

2016 ◽  
Vol 9 (6) ◽  
pp. 2167-2179 ◽  
Author(s):  
Baoquan Yuan ◽  
Xiao Li
Keyword(s):  
Besov Space ◽  
Micropolar Fluid ◽  
Blow Up ◽  
Three Dimensional ◽  
Smooth Solutions ◽  
Fluid Equations ◽  
Micropolar Fluid Equations

scholarly journals Logarithmically Improved Blow up Criterion for Smooths Solution to the 3D Micropolar Fluid Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Yin-Xia Wang ◽  
Hengjun Zhao
Keyword(s):  
Micropolar Fluid ◽  
Blow Up ◽  
Smooth Solutions ◽  
Fluid Equations ◽  
Micropolar Fluid Equations ◽  
Blow Up Criterion

Blow-up criteria of smooth solutions for the 3D micropolar fluid equations are investigated. Logarithmically improved blow-up criteria are established in the Morrey-Campanto space.

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.

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