Almost global in time existence of solutions for equations describing the motion of a magnetohydrodynamic incompressible fluid in a domain bounded by a free surfaced is proved. In the exterior domain we have an electromagnetic field which is generated by some currents which are located on a fixed boundary. We prove that a solution exists for t ∈ (0,T), where T > 0 is large if the data are small.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am31-1-6,
author = {Piotr Kacprzyk},
title = {Almost global solutions of the free boundary problem for the equations of a magnetohydrodynamic incompressible fluid},
journal = {Applicationes Mathematicae},
volume = {31},
year = {2004},
pages = {69-77},
zbl = {1059.35107},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am31-1-6}
}
Piotr Kacprzyk. Almost global solutions of the free boundary problem for the equations of a magnetohydrodynamic incompressible fluid. Applicationes Mathematicae, Tome 31 (2004) pp. 69-77. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am31-1-6/