Geodesic
Regularity of weak solutions to the magneto-hydrodynamics equations in terms of the direction of velocity
Electronic journal of differential equations, Tome 2009 (2009)
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.
Classification : 35Q35, 76D03
Keywords: magneto-hydrodynamics equation, regularity, serrin criteria 
@article{EJDE_2009__2009__a136,
     author = {Luo,  Yuwen},
     title = {Regularity of weak solutions to the magneto-hydrodynamics equations in terms of the direction of velocity},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1178.35304},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a136/}
}
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Luo,  Yuwen. Regularity of weak solutions to the magneto-hydrodynamics equations in terms of the direction of velocity. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a136/