Stationary solutions of the generalized Smoluchowski-Poisson equation

Robert Stańczy

Banach Center Publications (2008)

  • Volume: 81, Issue: 1, page 493-500
  • ISSN: 0137-6934

Abstract

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The existence of steady states in the microcanonical case for a system describing the interaction of gravitationally attracting particles with a self-similar pressure term is proved. The system generalizes the Smoluchowski-Poisson equation. The presented theory covers the case of the model with diffusion that obeys the Fermi-Dirac statistic.

How to cite

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Robert Stańczy. "Stationary solutions of the generalized Smoluchowski-Poisson equation." Banach Center Publications 81.1 (2008): 493-500. <http://eudml.org/doc/282557>.

@article{RobertStańczy2008,
abstract = {The existence of steady states in the microcanonical case for a system describing the interaction of gravitationally attracting particles with a self-similar pressure term is proved. The system generalizes the Smoluchowski-Poisson equation. The presented theory covers the case of the model with diffusion that obeys the Fermi-Dirac statistic.},
author = {Robert Stańczy},
journal = {Banach Center Publications},
keywords = {Chavanis-Sommeria-Robert model; Smoluchowski-Poisson equation; Fermi-Dirac statistics; variational methods},
language = {eng},
number = {1},
pages = {493-500},
title = {Stationary solutions of the generalized Smoluchowski-Poisson equation},
url = {http://eudml.org/doc/282557},
volume = {81},
year = {2008},
}

TY - JOUR
AU - Robert Stańczy
TI - Stationary solutions of the generalized Smoluchowski-Poisson equation
JO - Banach Center Publications
PY - 2008
VL - 81
IS - 1
SP - 493
EP - 500
AB - The existence of steady states in the microcanonical case for a system describing the interaction of gravitationally attracting particles with a self-similar pressure term is proved. The system generalizes the Smoluchowski-Poisson equation. The presented theory covers the case of the model with diffusion that obeys the Fermi-Dirac statistic.
LA - eng
KW - Chavanis-Sommeria-Robert model; Smoluchowski-Poisson equation; Fermi-Dirac statistics; variational methods
UR - http://eudml.org/doc/282557
ER -

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