Some regularity criteria for the 3D incompressible magnetohydrodynamics (Q982600)

A regularity criterion for the three-dimensional incompressible viscous and restrictive magnetohydrodynamic equations is considered, which govern the dynamics of electrically conducting fluids. Some sufficient integrability conditions on some components of the velocity and magnetic fields for the regularity of the weak solutions are presented. The authors also found the similarity and the difference between MHD and Navier-Stokes equations by studying the obtained regularity criterion attached to the mentioned magnetohydrodynamic equations with given initial data.