Geodesic
On the free boundary problem of magnetohydrodynamics
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 41, Tome 385 (2010), pp. 135-186 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper proves the solvability of a free boundary problem of magnetohydrodynamics for a viscous incompressible fluid in a simply connected domain. The solution is obtained in Sobolev–Slobodetskii spaces $W^{2+l,1+l/2}_2$, $1/2. Bibl. 15 titles. 
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M. Padula; V. A. Solonnikov. On the free boundary problem of magnetohydrodynamics. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 41, Tome 385 (2010), pp. 135-186. http://geodesic.mathdoc.fr/item/ZNSL_2010_385_a6/

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