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 |
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Journal | Electronic Journal of Differential Equations |
Volume | 2014 |
State | Published - Apr 11 2014 |
Keywords
- Magnetohydrodynamics system
- Navier-Stokes equations
- Regularity criteria