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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].

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
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