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On an evolution system describing self-gravitating Fermi-Dirac particles

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Publication:2501597
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zbMath1103.35086MaRDI QIDQ2501597

Piotr Biler, Tadeusz Nadzieja, Philippe Laurençot

Publication date: 15 September 2006

Published in: Advances in Differential Equations (Search for Journal in Brave)


zbMATH Keywords

existencePoisson equationnonlinear diffusionkinetic equationsmean field equationFermi-Dirac statisticsself-gravitating particlesFermi integral


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) PDEs in connection with quantum mechanics (35Q40) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21)


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Non-existence and uniqueness results for supercritical semilinear elliptic equations ⋮ On an evolution system describing self-gravitating particles in microcanonical setting ⋮ A nonlocal problem describing spherical system of stars ⋮ Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi-Dirac statistics ⋮ Localized minimizers of flat rotating gravitational systems



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