A free boundary problem controlling the motion of a finite isolated mass of a viscous incompressible electrically conducting fluid in vacuum is considered. The fluid is moving under the action of a magnetic field and volume forces. It is proved that this free boundary problem is solvable in an infinite time interval under additional smallness assumptions imposed on the initial data and the external forces.
|Journal||Journal of Mathematical Sciences|
|Early online date||1 Oct 2015|
|Publication status||Published - 2015|