Abstract
In this paper we consider the three dimensional (3D) incompressible Hall-magnetohydrodynamic equations (Hall-MHD). It is proved that the local smooth solution can be continued beyond time T provided that the velocity u and the magnetic field B satisfy
for . As a consequence, this result extend the previous result.
Acknowledgements
The author would like to express the heartfelt thanks to the anonymous referees and the editor for their constructive comments and helpful suggestions that have contributed to the final preparation of the paper.
Notes
No potential conflict of interest was reported by the author.