Gravitational collapse of a Brownian gas
Volume 66 / 2004
Banach Center Publications 66 (2004), 287-304
MSC: 92-xx, 85-xx, 35-xx, 82-xx.
DOI: 10.4064/bc66-0-20
Abstract
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.
