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}
}
  • V. Vyalov
  • Published 2 March 2010
  • Mathematics
  • Journal of Mathematical Sciences
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
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
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
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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