On the Blow-Up Criterion for Incompressible Stokes–MHD Equations

Our aim is to establish a blow-up criterion for the local strong solutions in terms of the gradient of the magnetic field only in BMO spaces. © 2018, Springer Nature Switzerland AG.

Authors
Alghamdi A.M. 1 , Gala S. 2, 3 , Ragusa M.A. 3, 4
Journal
Results in Mathematics
Publisher
Birkhauser Verlag AG
Issue number
3
Language
English
State
Published
Link
External link
DOI
10.1007/S00025-018-0874-X
Number
110
Volume
73
Year
2018
Organizations
  • 1 Department of Mathematical Science Faculty of Applied Science, Umm Alqura University, P. O. Box 14035, Makkah, 21955, Saudi Arabia
  • 2 Department of Mathematics, ENS of Mostaganem, Box 227, Mostaganem, 27000, Algeria
  • 3 Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria, 6, Catania, 95125, Italy
  • 4 RUDN University, 6 Miklukho - Maklay St, Moscow, 117198, Russian Federation
Keywords
blow-up criteria; BMO spaces; Stokes–MHD equations; strong solutions
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