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 H³-space.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am34-1-7,
author = {Piotr Kacprzyk},
title = {Free boundary problem for the equations of magnetohydrodynamic incompressible viscous fluid},
journal = {Applicationes Mathematicae},
volume = {34},
year = {2007},
pages = {75-95},
zbl = {1122.35113},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-1-7}
}
Piotr Kacprzyk. Free boundary problem for the equations of magnetohydrodynamic incompressible viscous fluid. Applicationes Mathematicae, Tome 34 (2007) pp. 75-95. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-1-7/