On regularity criteria in terms of pressure for the 3D viscous MHD equations. (English) Zbl 1247.35101
Summary: 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 [Int. J. Non-Linear Mech. 41, No. 10, 1174–1180 (2006; Zbl 1160.35506)] where additional conditions on the magnetic field are also needed.
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
Citations:
Zbl 1160.35506References:
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