Abstract
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 \(\textit{BMO}\) spaces.
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Acknowledgements
The authors thank the referees and the associated editor for their invaluable comments and suggestions which helped improve the paper greatly. Part of the work was carried out while the second author was a long-term visitor at University of Catania. The hospitality and support of Catania University are gratefully acknowledged.
The research of M.A. Ragusa is partially supported by the Ministry of Education and Science of the Russian Federation (Agreement Number N. 02.03.21.0008).
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Alghamdi, A.M., Gala, S. & Ragusa, M.A. On the Blow-Up Criterion for Incompressible Stokes–MHD Equations. Results Math 73, 110 (2018). https://doi.org/10.1007/s00025-018-0874-x
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DOI: https://doi.org/10.1007/s00025-018-0874-x