On the regularity of weak solutions of the MHD equations in BMO−1 and Ḃ∞,∞−1

2021 ◽  
Vol 62 (9) ◽  
pp. 091509
Author(s):  
Yanqing Wang ◽  
Baoquan Yuan ◽  
Jiefeng Zhao ◽  
Daoguo Zhou
Keyword(s):  
Weak Solutions ◽  
Mhd Equations ◽  
Regularity Of Weak Solutions

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.

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