scholarly journals Global Regularity Criterion for the Magneto-Micropolar Fluid Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Fanhui Meng ◽  
Gang Wang
Keyword(s):  
Micropolar Fluid ◽  
Global Regularity ◽  
Regularity Criterion ◽  
Fluid Equations ◽  
Micropolar Fluid Equations

scholarly journals The anisotropic integrability logarithmic regularity criterion to the 3D micropolar fluid equations

2020 ◽  
Vol 5 (1) ◽  
pp. 359-375
Author(s):  
Ahmad Mohammad Alghamdi ◽  
◽  
Sadek Gala ◽  
Jae-Myoung Kim ◽  
Maria Alessandra Ragusa ◽  
...  
Keyword(s):  
Micropolar Fluid ◽  
Regularity Criterion ◽  
Fluid Equations ◽  
Micropolar Fluid Equations

scholarly journals Logarithmically Improved Regularity Criterion for the 3D Micropolar Fluid Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Hui Zhang
Keyword(s):  
Besov Space ◽  
Strong Solution ◽  
Weak Solutions ◽  
Micropolar Fluid ◽  
Regularity Criterion ◽  
Vorticity Field ◽  
Regularity Of Weak Solutions ◽  
Fluid Equations ◽  
Incompressible Micropolar Fluid ◽  
Micropolar Fluid Equations

We study the regularity of weak solutions to the incompressible micropolar fluid equations. We obtain an improved regularity criterion in terms of vorticity of velocity in Besov space. It is proved that if the vorticity field satisfies ∫0T∇×uB˙∞,∞0/1+log1+∇×uB˙∞,∞0dt<∞ then the strong solution can be smoothly extended after time T.

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