Refined regularity criteria for the MHD system involving only two components of the solution

Abstract

We focus on the Cauchy problem for the MHD system, and refine three previous regularity conditions involving two components of the solutions.

Keywords:

• MHD equations
• regularity criteria

AMS Subject Classifications:

• 35B65
• 35Q35
• 76D03

Acknowledgements

The author would like to thank the anonymous referees for careful reading and helpful suggestions.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was partially supported by the Natural Science Foundation of Jiangxi [grant number 20151BAB201010]; the National Natural Science Foundation of China [grant number 11501125], [grant number 11361004].