Remarks on regularity criteria for the 2D generalized MHD system in Besov spaces

2018 ◽  
Vol 48 (8) ◽  
pp. 2785-2795 ◽  
Author(s):  
Zujin Zhang
Keyword(s):  
Besov Spaces ◽  
Regularity Criteria ◽  
Mhd System

3D Hall-MHD system with vorticity in Besov spaces

2018 ◽  
Vol 121 (1) ◽  
pp. 91-98
Author(s):  
Zujin Zhang
Keyword(s):  
Besov Spaces ◽  
Mhd System ◽  
Hall Mhd

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 New Regularity Criterion for the Three-Dimensional Incompressible Magnetohydrodynamic Equations in the Besov Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
TianLi LI ◽  
Wen Wang ◽  
Lei Liu
Keyword(s):  
Weak Solution ◽  
Weak Solutions ◽  
Besov Spaces ◽  
Pressure Field ◽  
Three Dimensional ◽  
Regularity Criterion ◽  
Mhd Equations ◽  
Regularity Criteria ◽  
Magnetohydrodynamic Equations ◽  
Incompressible Magnetohydrodynamic Equations

Regularity criteria of the weak solutions to the three-dimensional (3D) incompressible magnetohydrodynamic (MHD) equations are discussed. Our results imply that the scalar pressure field π plays an important role in the regularity problem of MHD equations. We derive that the weak solution u , b is regular on 0 , T , which is provided for the scalar pressure field π in the Besov spaces.

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