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].
For the entire collection see [Zbl 1052.35002].
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 |