Geodesic
On the local smoothness of weak solutions to the MHD system near the boundary
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 42, Tome 397 (2011), pp. 5-19

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We establish conditions sufficient for local regularity of the siutable weak solutions to the MHD system near the plane part of the boundary. 
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     author = {V. Vyalov},
     title = {On the local smoothness of weak solutions to the {MHD} system near the boundary},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--19},
     publisher = {mathdoc},
     volume = {397},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_397_a0/}
}
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V. Vyalov. On the local smoothness of weak solutions to the MHD system near the boundary. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 42, Tome 397 (2011), pp. 5-19. http://geodesic.mathdoc.fr/item/ZNSL_2011_397_a0/