Free boundary problem for the equations of magnetohydrodynamic incompressible viscous fluid
Volume 34 / 2007
Applicationes Mathematicae 34 (2007), 75-95
MSC: 35A05, 35R35, 76N10.
DOI: 10.4064/am34-1-7
Abstract
The existence of a 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 the velocity and magnetic field are small in the $H^3$-space.
