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

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

2009-05-09

arxiv.org/abs/0905.1388v1

Mathematics

Analysis of PDEs

29 pages

Scientific paper

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.

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