A new regularity criterion for the 3D incompressible MHD equations via partial derivatives

We consider the regularity criterion for the incompressible MHD equations. We show that the weak solution is regular, provided that [Formula presented] with 4≤r≤∞, or [Formula presented]. © 2019 Elsevier Inc.

Authors
Gala S. 1, 2 , Ragusa M.A. 2, 3
Journal
Journal of Mathematical Analysis and Applications
Publisher
Academic Press Inc.
Issue number
2
Language
English
State
Published
Link
External link
DOI
10.1016/J.JMAA.2019.123497
Number
123497
Volume
481
Year
2020
Organizations
  • 1 Department of Sciences exactes, Ecole Normale Supérieure de Mostaganem, University of Mostaganem, Box 227, Mostaganem, 27000, Algeria
  • 2 Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria, 6, Catania, 95125, Italy
  • 3 RUDN University, 6 Miklukho - Maklay St, Moscow, 117198, Russian Federation
Keywords
A priori estimates; MHD equations; Regularity criterion
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