On the free boundary problem of magnetohydrodynamics

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 $W^{2+l,1+l/2}_2$, $1/2<l<1$. Bibl. 15 titles.