Biler, Piotr; Nadzieja, Tadeusz; Stańczy, Robert Nonisothermal systems of self-attracting Fermi-Dirac particles. (English) Zbl 1146.35415 Biler, Piotr (ed.) et al., Nonlocal elliptic and parabolic problems. Papers of the conference, Bȩdlewo, Poland, September 12–15, 2003. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 66, 61-78 (2004). Summary: The existence of stationary solutions and blow up of solutions for a system describing the interaction of gravitationally attracting particles that obey the Fermi-Dirac statistics are studied.For the entire collection see [Zbl 1052.35002]. Cited in 18 Documents MSC: 35Q72 Other PDE from mechanics (MSC2000) 35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations 35B40 Asymptotic behavior of solutions to PDEs 82C21 Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics Keywords:Chavanis-Sommeria-Robert model; mean field equations; nonlinear nonlocal parabolic system; finite time blow up of solutions; steady states PDFBibTeX XMLCite \textit{P. Biler} et al., Banach Cent. Publ. 66, 61--78 (2004; Zbl 1146.35415)