ON THE FREE BOUNDARY PROBLEM OF MAGNETOHYDRODYNAMICS

摘要

In the paper, the solvability of the free boundary problem of magnetohydrodynamics for a viscous incompressible fluid in a simply connected domain is proved. The solution is obtained in the Sobolev-Slobodetskii spaces W_(2~2+l,1+l/2), 1/2 < l < 1. Bibliography: 15 titles.