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

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摘要

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.

论文关键词：Incompressible Hall-MHD equations,Regularity criterion,Vorticity

论文评审过程：Received 6 May 2016, Revised 2 October 2016, Accepted 13 December 2016, Available online 27 December 2016, Version of Record 27 December 2016.

论文官网地址：https://doi.org/10.1016/j.amc.2016.12.011