Open Access
2018 Remarks on regularity criteria for the 2D generalized MHD system in Besov spaces
Zujin Zhang
Rocky Mountain J. Math. 48(8): 2785-2795 (2018). DOI: 10.1216/RMJ-2018-48-8-2785

Abstract

This paper concerns regularity criteria for the $2$D generalized MHD system and shows that, if we can control the Besov norm of the vorticity and/or the current density, then the solution is, in fact, smooth. This improves the recent result of Jiang, Wang, and Zhou (2016).

Citation

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Zujin Zhang. "Remarks on regularity criteria for the 2D generalized MHD system in Besov spaces." Rocky Mountain J. Math. 48 (8) 2785 - 2795, 2018. https://doi.org/10.1216/RMJ-2018-48-8-2785

Information

Published: 2018
First available in Project Euclid: 30 December 2018

zbMATH: 06999284
MathSciNet: MR3895003
Digital Object Identifier: 10.1216/RMJ-2018-48-8-2785

Subjects:
Primary: 35B65 , 35Q30 , 76D03

Keywords: Fractional diffusion , generalized MHD system , Regularity criteria

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

Vol.48 • No. 8 • 2018
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