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

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.

arXiv admin note: substantial text overlap with arXiv:1211.0795