scholarly journals Local interior regularity for the 3D MHD equations in nonendpoint borderline Lorentz space

2021 ◽  
Vol 6 (3) ◽  
pp. 2440-2453
Author(s):  
Jae-Myoung Kim ◽  
Keyword(s):  
Lorentz Space ◽  
Mhd Equations ◽  
Interior Regularity

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 of the 3D MHD equations involving one velocity and one current density component in Lorentz space

2020 ◽  
Vol 71 (3) ◽  
Author(s):  
Ravi P. Agarwal ◽  
Sadek Gala ◽  
Maria Alessandra Ragusa
Keyword(s):  
Current Density ◽  
Lorentz Space ◽  
Regularity Criterion ◽  
Mhd Equations

On a characteristic property of the Lorentz space in the class of symmetric spaces

1970 ◽  
Vol 7 (5) ◽  
pp. 378-381 ◽  
Author(s):  
D. V. Salekhov
Keyword(s):  
Lorentz Space ◽  
Symmetric Spaces ◽  
Characteristic Property

On the 3D ideal MHD equations with partial damping

2021 ◽  
pp. 107017
Author(s):  
Xuanji Jia
Keyword(s):  
Mhd Equations ◽  
Ideal Mhd

scholarly journals Global well-posedness of the full compressible Hall-MHD equations

2021 ◽  
Vol 10 (1) ◽  
pp. 1235-1254
Author(s):  
Qiang Tao ◽  
Canze Zhu
Keyword(s):  
Global Solution ◽  
Large Time ◽  
Initial Temperature ◽  
Large Time Behavior ◽  
Initial Energy ◽  
Mhd Equations ◽  
Well Posedness ◽  
Time Behavior ◽  
Magnetohydrodynamic Flows ◽  
Hall Mhd

Abstract This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large oscillations. In addition, the large time behavior of the global solution is obtained.

scholarly journals On 3D Hall-MHD Equations with Fractional Laplacians: Global Well-Posedness

2021 ◽  
Vol 23 (3) ◽  
Author(s):  
Huali Zhang ◽  
Kun Zhao
Keyword(s):  
Mhd Equations ◽  
Well Posedness ◽  
Hall Mhd

scholarly journals Variational inequalities with lack of ellipticity. Part I: Optimal interior regularity and non-degeneracy of the free boundary

2003 ◽  
Vol 52 (2) ◽  
pp. 361-398 ◽  
Author(s):  
Donatella Danielli ◽  
Nicola Garofalo ◽  
Sandro Salsa
Keyword(s):  
Free Boundary ◽  
Variational Inequalities ◽  
Interior Regularity
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