Abstract
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 [22], we have eliminated the condition on the third component of the magnetic field completely while preserving the same upper bound on the integrability condition.
| Original language | English |
|---|---|
| Journal | Electronic Journal of Differential Equations |
| Volume | 2014 |
| State | Published - Apr 11 2014 |
Keywords
- Magnetohydrodynamics system
- Navier-Stokes equations
- Regularity criteria