Fixed Point Theory and Applications.
Springer International Publishing.
Vol. 2017.
2017.
On the regularity criterion of weak solutions for the 3D MHD equations
The paper deals with the 3D incompressible MHD equations and aims at improving a regularity criterion in terms of the horizontal gradient of velocity and magnetic field. It is proved that the weak solution (u, b) becomes regular provided that (Formula Presented.) The result is an extension of regularity criterion for 3D Navier–Stokes equations in Besov space due to Fang and Qian (Commun Pure Appl Anal 13:585–603, 2014) [see also (Ni et al. in J Math Anal Appl 396:108–118, 2012)]. © 2017, Springer International Publishing AG, part of Springer Nature.
Authors
Gala S.1,
2
,
Ragusa M.A.
2,
3
Publisher
Birkhauser Verlag AG
Number of issue
6
Language
English
Status
Published
Link
Number
140
Volume
68
Year
2017
Organizations
- 1 Department of Mathematics, University of Mostaganem, Box 227, Mostaganem, 27000, Algeria
- 2 Dipartimento di Matematica e Informatica, Universit à di Catania, Viale Andrea Doria, 6, Catania, 95125, Italy
- 3 RUDN University, 6 Miklukho - Maklay St., Moscow, 117198, Russian Federation
Keywords
Besov space; Blow-up criterion; MHD equations; Regularity criterion; Smooth solutions
Date of creation
19.10.2018
Date of change
19.10.2018
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