In the paper the motion of a fixed mass of a viscous compressible heat conducting fluid is considered. Assuming that the initial data are sufficiently close to an equilibrium state and the external force, the heat sources and the heat flow through the boundary vanish, we prove the existence of a global in time solution which is close to the equilibrium state for any moment of time.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-20,
author = {Ewa Zadrzy\'nska and Wojciech M. Zaj\k aczkowski},
title = {On nonstationary motion of a fixed mass of a general fluid bounded by a free surface},
journal = {Banach Center Publications},
volume = {60},
year = {2003},
pages = {253-266},
zbl = {1039.76056},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-20}
}
Ewa Zadrzyńska; Wojciech M. Zajączkowski. On nonstationary motion of a fixed mass of a general fluid bounded by a free surface. Banach Center Publications, Tome 60 (2003) pp. 253-266. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-20/