# On the local smoothness of weak solutions to the MHD system

@article{Vyalov2010OnTL, title={On the local smoothness of weak solutions to the MHD system}, author={V. Vyalov}, journal={Journal of Mathematical Sciences}, year={2010}, volume={166}, pages={1-10} }

A sufficient condition for local regularity of weak solutions to the system of magnetohydrodynamics is proved. Bibliography: 12 titles.

## 3 Citations

On the boundary regularity of weak solutions to the MHD system

- Mathematics, Physics
- 2011

The partial regularity of boundary suitable weak solutions to the MHD system near the plane part of the boundary is proved. Bibliography: 16 titles.

On the Regularity of Weak Solutions to the MHD System Near the Boundary

- Physics
- 2014

We obtain sufficient conditions of local regularity of suitable weak solutions to the MHD system for the points belonging to a C3-smooth part of the boundary. Our results are some generalization of…

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

- Mathematics
- 2012

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…

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A class of sufficient conditions for local boundary regularity of suitable weak solutions of nonstationary three-dimensional Navier–Stokes equations is discussed. The corresponding results are stated…

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