A remark on regularity criterion for the 3D Hall-MHD equations based on the vorticity

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• 作者：Zhuan Ye<sup>asup><sup> ; sup><sup>yezhuan815@126.comsup> ; Zujin Zhang<sup> ; sup><sup>bsup><sup> ; sup><sup>zhangzujin361@163.comsup>
• 关键词：Incompressible Hall-MHD equations ; Regularity criterion ; Vorticity
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：15 May 2017
• 年：2017
• 卷：301
• 期：Complete
• 页码：70-77
• 全文大小：346 K
• 卷排序：301

文摘

In this paper we investigate the regularity criterion for the local-in-time classical solution to the three-dimensional (3D) incompressible Hall-magnetohydrodynamic equations (Hall-MHD). It is proved that the control of the vorticity alone can ensure the smoothness of the solution.