Global existence of solutions of the free boundary problem for the equations of magnetohydrodynamic compressible fluid
Volume 70 / 2005
Banach Center Publications 70 (2005), 105-129
MSC: 35A05, 35R35, 76N10.
DOI: 10.4064/bc70-0-7
Abstract
Global existence of solutions for equations describing a motion of magnetohydrodynamic compresible fluid in a domain bounded by a free surface is proved. In the exterior domain we have an electromagnetic field which is generated by some currents located on a fixed boundary. We have proved that the domain occupied by the fluid remains close to the initial domain for all time.
