A priori estimates for solutions of a system describing the interaction of gravitationally attracting particles with a self-similar pressure term are proved. The presented theory covers the case of the model with diffusions that obey either Fermi-Dirac statistics or a polytropic one.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc74-0-13,
author = {Robert Sta\'nczy},
title = {On some parabolic-elliptic system with self-similar pressure term},
journal = {Banach Center Publications},
volume = {72},
year = {2006},
pages = {205-215},
zbl = {1110.35090},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc74-0-13}
}
Robert Stańczy. On some parabolic-elliptic system with self-similar pressure term. Banach Center Publications, Tome 72 (2006) pp. 205-215. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc74-0-13/