ORIGINAL ARTICLE
Regularity via one vorticity component for the 3D axisymmetric MHD equations
Zhengguang Guo,
Fangru Chen,
Corresponding Author
Zhengguang Guo
School of Mathematics and Statistics, Huaiyin Normal University, Huai'an, Jiangsu, China
Correspondence
Zhengguang Guo, School of Mathematics and Statistics, Huaiyin Normal University, Huai'an 223300, China.
Email: [email protected]
Search for more papers by this authorFangru Chen
Department of Mathematics, Wenzhou University, Wenzhou, Zhejiang, China
Search for more papers by this authorZhengguang Guo,
Fangru Chen,
Corresponding Author
Zhengguang Guo
School of Mathematics and Statistics, Huaiyin Normal University, Huai'an, Jiangsu, China
Correspondence
Zhengguang Guo, School of Mathematics and Statistics, Huaiyin Normal University, Huai'an 223300, China.
Email: [email protected]
Search for more papers by this authorFangru Chen
Department of Mathematics, Wenzhou University, Wenzhou, Zhejiang, China
Search for more papers by this authorFirst published: 28 November 2022
Abstract
In this paper, we investigate the regularity criteria of axisymmetric weak solutions to the three-dimensional (3D) incompressible magnetohydrodynamics (MHD) equations with nonzero swirl component. By making use of techniques of the Littlewood–Paley decomposition, we show that weak solutions to the 3D axisymmetric MHD equations become regular if the swirl component of vorticity satisfies that , which partially gives a positive answer to the marginal case for the regularity of MHD equations.
CONFLICT OF INTEREST
The authors declare no potential conflict of interests.
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