On an evolution system describing self-gravitating particles in microcanonical setting

Abstract

The global in time existence of solutions of a system describing the interaction of gravitationally attracting particles with a general diffusion term and fixed energy is proved. The presented theory covers the case of the model with diffusion that obeys Fermi-Dirac statistics. Some of the results apply to the dissipative polytropic case as well.

arXiv comment29 pages