[Authors]
 Frolova, E. V.

[Title]
 Free boundary problem of magnetohydrodynamics for two liquids

[AMS Subj-class]
 35Q35 PDEs in connection with fluid mechanics
 35R35 Free boundary problems
 76D03 Existence, uniqueness, and regularity theory

[Abstract]
 We consider two-phase free boundary problem of magnetohydrodynamics.
 To reduce free boundary problem to a problem in a given domain, we use
 Hanzawa coordinate transform. We formulate local (in time) solvability
 result in Sobolev-Slobodetskii spaces and outline main ideas of the proof.

[Keywords]
 free boundary problem, magnetohydrodynamics, two-phase problem,
 existense theorem

[Comments]
 LaTeX, English, 6 pp.

[Contact e-mail]
 elenafr@mail.ru