The global-in-time existence of solutions for a system describing the interaction of gravitationally attracting particles that obey the Fermi--Dirac statistics is proved. Stationary solutions of that system are also studied.
"On an evolution system describing self-gravitating Fermi-Dirac particles." Adv. Differential Equations 9 (5-6) 563 - 586, 2004. https://doi.org/10.57262/ade/1355867936