Steklov Institute of Mathematics at St.Petersburg

PREPRINT 09/2013


V. A. Solonnikov

$L_p$-THEORY OF FREE BOUNDARY PROBLEMS OF MAGNETOHYDRODYNAMICS IN SIMPLY CONNECTED DOMAINS

Steklov Mathematical Institute RAN, Fontanka 27, 191011 St.Petersburg, Russia
solonnik@pdmi.ras.ru
This preprint was accepted September 3, 2013

ABSTRACT:
 We present $L_p$-theory of solvability of free
boundary problems of magnetohydrodynamics for a viscous
incompressible fluid constructed in the paper [1] for $p=2$. We
consider the simplest problem studied in this paper.
 
Key words: Sobolev spaces, free boudaries, magnetohydrodynamics

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 ,    [1]   $p=2$.
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