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

Viktor Vyalov

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arXiv · 1211.4089

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

Viktor Vyalov

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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. 2012-11-17. On the Regularity of Weak Solutions to the Magneto Hydrodynamics System near the curved part of the boundary. https://arxiv.org/abs/1211.4089

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