Regularity of weak solutions to the magneto-hydrodynamics equations in terms of the direction of velocity
Electronic Journal of Differential Equations, Tome 2009 (2009).

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Summary: 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
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     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},
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     volume = {2009},
     year = {2009},
     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/