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

Keywords: Magneto-hydrodynamics equation , regularity , Serrin criteria

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Abstract:

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.

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