Regularity of weak solutions to the magneto-hydrodynamics equations in terms of the direction of velocity

In this article, we study the regularity of weak solutions to the 3D incompressible magneto-hydrodynamics equations. We obtain a new class of regularity criteria in terms of the direction of the velocity. Our result extend some results known for incompressible Navier-Stokes equations.

Bibliographic Details
Main Author: Yuwen Luo
Format: Article
Language:English
Published: Texas State University 2009-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/132/abstr.html