A kinetic collision operator of Landau type for Fermi-Dirac particles is considered. Equilibrium states are rigorously determined under minimal assumptions on the distribution function of the particles. The particular structure of the considered operator (strong non-linearity and degeneracy) requires a special investigation compared to the classical Boltzmann or Landau operator.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-2,
author = {V\'eronique Bagland and Mohammed Lemou},
title = {Equilibrium states for the Landau-Fermi-Dirac equation},
journal = {Banach Center Publications},
volume = {65},
year = {2004},
pages = {29-37},
zbl = {1072.82538},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-2}
}
Véronique Bagland; Mohammed Lemou. Equilibrium states for the Landau-Fermi-Dirac equation. Banach Center Publications, Tome 65 (2004) pp. 29-37. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-2/