The motion of a viscous compressible heat conducting fluid in a domain in ℝ³ bounded by a free surface is considered. We prove local existence and uniqueness of solutions in Sobolev-Slobodetskiĭ spaces in two cases: with surface tension and without it.
@article{bwmeta1.element.bwnjournal-article-apmv59z2p133bwm,
author = {Ewa Zadrzy\'nska and Wojciech M. Zaj\k aczkowski},
title = {On local motion of a general compressible viscous heat conducting fluid bounded by a free surface},
journal = {Annales Polonici Mathematici},
volume = {60},
year = {1994},
pages = {133-170},
zbl = {0812.35102},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv59z2p133bwm}
}
Ewa Zadrzyńska; Wojciech M. Zajączkowski. On local motion of a general compressible viscous heat conducting fluid bounded by a free surface. Annales Polonici Mathematici, Tome 60 (1994) pp. 133-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv59z2p133bwm/
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