On the Regularity of Weak Solutions to the Magneto Hydrodynamics System near the curved part of the boundary
classification
🧮 math.AP
keywords
boundaryconditionspartregularitysolutionssystemweakcaffarelli--kohn--nirenberg
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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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