We investigate a model describing the dynamics of a gas of self-gravitating Brownian particles. This model can also have applications for the chemotaxis of bacterial populations. We focus here on the collapse phase obtained at sufficiently low temperature/energy and on the post-collapse regime following the singular time where the central density diverges. Several analytical results are illustrated by numerical simulations.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-20,
author = {Cl\'ement Sire and Pierre-Henri Chavanis},
title = {Gravitational collapse of a Brownian gas},
journal = {Banach Center Publications},
volume = {65},
year = {2004},
pages = {287-304},
zbl = {1056.92008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-20}
}
Clément Sire; Pierre-Henri Chavanis. Gravitational collapse of a Brownian gas. Banach Center Publications, Tome 65 (2004) pp. 287-304. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-20/