Gravitation and Cosmology.
Vol. 25.
2019.
P. 44-49
Logarithmically improved blow-up criterion for smooth solutions to the leray-α-magnetohydrodynamic equations
In this paper, the Cauchy problem for the 3D Leray-α-MHD model is investigated. We obtain the logarithmically improved blow-up criterion of smooth solutions for the Leray-α-MHD model in terms of the magnetic field B only in the framework of homogeneous Besov space with negative index. © 2019, Masarykova Universita. All rights reserved.
Authors
Omrane I.B.1
,
Gala S.2,
3
,
Kim J.-M.4
,
Ragusa M.A.
5,
6
Journal
Publisher
Masarykova Universita
Number of issue
1
Language
English
Pages
55-68
Status
Published
Link
Volume
55
Year
2019
Organizations
- 1 Department of Mathematics, Faculty of Science, Al Imam Mohammad Ibn Saud, Islamic University (IMSIU), P. O. Box 90950, Riyadh, 11623, 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 Department of Mathematical Sciences, Seoul National University, Seoul, South Korea
- 5 RUDN University, 6 Miklukho – Maklay St, Moscow, 117198, Russian Federation
- 6 Dipartimento di Matematica e Informatica, Università di Catania, Italy
Keywords
Besov space; Magnetohydrodynamic-α model; Regularity criterion
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IEEE Access.
Institute of Electrical and Electronics Engineers Inc..
Vol. 7.
2019.
P. 24376-24391