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Self-attracting Fermi-Dirac particles in canonical and microcanonical setting

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Publication:3022730
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DOI10.1002/mma.605zbMath1068.35121OpenAlexW2032496900MaRDI QIDQ3022730

Robert Stańczy

Publication date: 30 June 2005

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.605


zbMATH Keywords

steady statesFermi-Dirac particlesnon-linear non-local elliptic equation


Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs in connection with quantum mechanics (35Q40) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)


Related Items

Models of particles of the Michie-King type ⋮ Non-existence and uniqueness results for supercritical semilinear elliptic equations ⋮ Mathematical model for Sagittarius A* and related Tolman–Oppenheimer–Volkoff equations ⋮ On an evolution system describing self-gravitating particles in microcanonical setting ⋮ Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels ⋮ On stationary and radially symmetric solutions to some drift–diffusion equations with nonlocal term ⋮ PHASE TRANSITIONS IN SELF-GRAVITATING SYSTEMS



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