[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