On regularity criterion to the 3D axisymmetric incompressible MHD equations

2016 ◽  
Vol 39 (15) ◽  
pp. 4535-4544 ◽  
Author(s):  
Jitao Liu
Keyword(s):  
Regularity Criterion ◽  
Mhd Equations ◽  
Incompressible Mhd

scholarly journals A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces

2017 ◽  
Vol 2017 ◽  
pp. 1-5 ◽  
Author(s):  
Chunhong Tian
Keyword(s):  
Weak Solutions ◽  
Regularity Criterion ◽  
Mhd Equations ◽  
Magnetohydrodynamics Equations ◽  
Partial Derivatives ◽  
Magnetic Components ◽  
Incompressible Mhd ◽  
Derivatives Of ◽  
Incompressible Magnetohydrodynamics

We are concerned with the regularity criterion for weak solutions to the 3D incompressible MHD equations in this paper. We show that if some partial derivatives of the velocity components and magnetic components belong to the multiplier spaces, then the solution actually is smooth on (0,T).

scholarly journals Regularity Criteria for the 3D Magneto-Hydrodynamics Equations in Anisotropic Lorentz Spaces

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 625
Author(s):  
Maria Alessandra Ragusa ◽  
Fan Wu
Keyword(s):  
Weak Solutions ◽  
Lorentz Space ◽  
Regularity Criterion ◽  
Lorentz Spaces ◽  
Mhd Equations ◽  
Regularity Criteria ◽  
Regularity Of Weak Solutions ◽  
Incompressible Mhd ◽  
Hydrodynamics Equations

In this paper, we investigate the regularity of weak solutions to the 3D incompressible MHD equations. We provide a regularity criterion for weak solutions involving any two groups functions (∂1u1,∂1b1), (∂2u2,∂2b2) and (∂3u3,∂3b3) in anisotropic Lorentz space.

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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