We study the regularity of the three-dimensional magnetohydrodynamics system, and obtain criteria in terms of one velocity field component and two magnetic field components. In contrast to the previous results such as , we have eliminated the condition on the third component of the magnetic field completely while preserving the same upper bound on the integrability condition.
|Journal||Electronic Journal of Differential Equations|
|State||Published - Apr 11 2014|
- Magnetohydrodynamics system
- Navier-Stokes equations
- Regularity criteria