An optimal regularity criterion for the 3D MHD equations in homogeneous Besov spaces

2020 ◽  
Vol 44 (2) ◽  
pp. 2130-2139
Author(s):  
Zhengguang Guo ◽  
Shunhang Zhang
Keyword(s):  
Besov Spaces ◽  
Regularity Criterion ◽  
Mhd Equations ◽  
Optimal Regularity

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.

scholarly journals A regularity criterion for the 3D MHD equations in terms of the gradient of the pressure in the multiplier spaces

2014 ◽  
Vol 4 (2) ◽  
pp. 153-157 ◽  
Author(s):  
Zujin Zhang ◽  
Pingzhou Hong ◽  
Dingxing Zhong ◽  
Shulin Qiu
Keyword(s):  
Regularity Criterion ◽  
Mhd Equations
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