The existence of steady states in the microcanonical case for a system describing the interaction of gravitationally attracting particles with a self-similar pressure term is proved. The system generalizes the Smoluchowski-Poisson equation. The presented theory covers the case of the model with diffusion that obeys the Fermi-Dirac statistic.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-31,
author = {Robert Sta\'nczy},
title = {Stationary solutions of the generalized Smoluchowski-Poisson equation},
journal = {Banach Center Publications},
volume = {83},
year = {2008},
pages = {493-500},
zbl = {1154.35436},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-31}
}
Robert Stańczy. Stationary solutions of the generalized Smoluchowski-Poisson equation. Banach Center Publications, Tome 83 (2008) pp. 493-500. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-31/