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Regularity criterion for the 3D Hall-magnetohydrodynamic equations involving the vorticity. (English) Zbl 1348.35206
The author study the regularity of solutions to the three-dimensional incompressible Hall-magneto-hydrodynamic equations. And the regularity criterion is obtained only in terms of the vorticity fields, which is similar with that of the magneto-hydrodynamic equations.
Reviewer: Cheng He (Beijing)

##### MSC:
 35Q35 PDEs in connection with fluid mechanics 35B65 Smoothness and regularity of solutions to PDEs 35Q85 PDEs in connection with astronomy and astrophysics 76W05 Magnetohydrodynamics and electrohydrodynamics
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