Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi-Dirac statistics

DOI10.3934/dcds.2015.35.139zbMath1304.35697arXiv1309.1930OpenAlexW2094557468MaRDI QIDQ479965

Robert Stańczy, Jean Dolbeault

Publication date: 8 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.1930

zbMATH Keywords

singular perturbationdynamical systemgravitationbifurcation diagramsnonlocal elliptic equationsFermi-Dirac statisticscumulated mass densityFermi functionmass constraintMaxwell-Boltzmann statistics

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Galactic and stellar dynamics (85A05) Dynamical systems in classical and celestial mechanics (37N05) Bifurcations in context of PDEs (35B32) Singular perturbations for ordinary differential equations (34E15) PDEs in connection with astronomy and astrophysics (35Q85)

Related Items (5)

Models of particles of the Michie-King type ⋮ Dynamical system modeling fermionic limit ⋮ On an evolution system describing self-gravitating particles in microcanonical setting ⋮ On stationary and radially symmetric solutions to some drift–diffusion equations with nonlocal term ⋮ Dynamical system describing cloud of particles

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