Global existence of solutions of the free boundary problem for the equations of magnetohydrodynamic incompresible viscous fluid

Piotr Kacprzyk

DOI: http://dx.doi.org/10.12775/TMNA.2004.015

Abstract


Global motion of magnetohydrodynamic fluid in a domain bounded by
a free surface and under the external electrodynamic field is proved. The
motion is such that velocity and magnetic field are small in $H^3$-space.

Keywords


Free boundary; global existence; Sobolev spaces; magnetohydrodynamic incompresible fluid

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