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

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  • Ye, Zhuan
  • Zhang, Zujin

Abstract

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.

Suggested Citation

  • Ye, Zhuan & Zhang, Zujin, 2017. "A remark on regularity criterion for the 3D Hall-MHD equations based on the vorticity," Applied Mathematics and Computation, Elsevier, vol. 301(C), pages 70-77.
    • Handle: RePEc:eee:apmaco:v:301:y:2017:i:c:p:70-77
    DOI: 10.1016/j.amc.2016.12.011
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    Cited by:

    1. Yuan, Baoquan & Li, Chaoying, 2019. "The 3D incompressible Hall magneto-hydrodynamics equations with partial hyperdissipation," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 308-332.

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