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Research Article | Open Access

On regularity criteria for MHD system in anisotropic Lebesgue spaces

Kun Cheng, Yong Zeng( )
School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China
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Abstract

This paper concerns the regularity criteria of the three-dimensional magnetohydrodynamic (MHD) system in anisotropic Lebesgue spaces. Two regularity results were proved under additional assumptions on the horizontal components of the velocity field u and the magnetic field B , or directions of Elsässer's variables u ± B .

Keywords

MHD systemregularity criteriaanisotropic Lebesgue spacesum spacesElsässer's variables

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Electronic Research Archive
Volume 31 Issue 8,
August 2023
Pages 4669-4682
DOI: 10.3934/era.2023239

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Cite this article:
Cheng K, Zeng Y. On regularity criteria for MHD system in anisotropic Lebesgue spaces. Electronic Research Archive, 2023, 31(8): 4669-4682. https://doi.org/10.3934/era.2023239

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Received: 29 March 2023
Revised: 14 June 2023
Accepted: 24 June 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)