English

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

Analysis of PDEs 2015-10-29 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.0905.1388,
  title  = {On an evolution system describing self-gravitating particles in microcanonical setting},
  author = {Robert Stańczy},
  journal= {arXiv preprint arXiv:0905.1388},
  year   = {2015}
}

Comments

29 pages

R2 v1 2026-06-21T12:59:58.808Z