On regularity criteria in terms of pressure for the 3D viscous MHD equations

Abstract

In this article, we consider regularity of solutions to the 3D viscous MHD equations. Regularity criteria are established in terms of the pressure or the gradient of pressure, which improve the results in Y. Zhou [Regularity criteria for the 3D MHD equations in terms of the pressure, Int. J. Non-Linear Mech. 41(10) (2006), pp. 1174–1180] where additional conditions on the magnetic field are also needed.

Keywords:

• MHD equations
• regularity criteria

AMS Subject Classifications::

• 35Q35
• 35B65
• 76D05

Acknowledgement

The author thanks the referees for careful reading and helpful suggestions.