On the Regularity of Weak Solutions to the Magneto Hydrodynamics System near the curved part of the boundary

Published 17 Nov 2012 in math.AP | (1211.4089v1)

Abstract: We prove a sufficient conditions of local regularity of suitable weak solutions to the MHD system for the point from $C^3$-smooth part of the boundary. Our conditions are the generalizing of the Caffarelli--Kohn--Nirenberg theorem for Navier-Stokes equations.

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Viktor Vyalov

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