The motion of a fixed mass of a viscous compressible heat conducting capillary fluid is examined. Assuming that the initial data are sufficiently close to a constant state and the external force vanishes we prove the existence of a global-in-time solution which is close to the constant state for any moment of time. Moreover, we present an analogous result for the case of a barotropic viscous compressible fluid.
@article{bwmeta1.element.bwnjournal-article-zmv25i4p489bwm,
author = {Ewa Zadrzy\'nska},
title = {On nonstationary motion of a fixed mass of a general viscous compressible heat conducting capillary fluid bounded by a free boundary},
journal = {Applicationes Mathematicae},
volume = {26},
year = {1999},
pages = {489-511},
zbl = {0994.35004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv25i4p489bwm}
}
Zadrzyńska, Ewa. On nonstationary motion of a fixed mass of a general viscous compressible heat conducting capillary fluid bounded by a free boundary. Applicationes Mathematicae, Tome 26 (1999) pp. 489-511. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv25i4p489bwm/
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