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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-7,
author = {Piotr Kacprzyk},
title = {Global existence of solutions of the free boundary problem for the equations of magnetohydrodynamic compressible fluid},
journal = {Banach Center Publications},
volume = {68},
year = {2005},
pages = {105-129},
zbl = {1101.35360},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-7}
}
Piotr Kacprzyk. Global existence of solutions of the free boundary problem for the equations of magnetohydrodynamic compressible fluid. Banach Center Publications, Tome 68 (2005) pp. 105-129. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-7/