A+ CATEGORY SCIENTIFIC UNIT

Equilibrium states for the Landau-Fermi-Dirac equation

Volume 66 / 2004

Véronique Bagland, Mohammed Lemou Banach Center Publications 66 (2004), 29-37 MSC: 45J05. DOI: 10.4064/bc66-0-2

Abstract

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.

Authors

  • Véronique BaglandMathématiques pour l'Industrie et la Physique, CNRS UMR 5640
    Université Paul Sabatier – Toulouse 3
    118 route de Narbonne

    F-31062 Toulouse Cedex 4, France
    e-mail
  • Mohammed LemouMathématiques pour l'Industrie et la Physique, CNRS UMR 5640
    Université Paul Sabatier – Toulouse 3
    118 route de Narbonne
    F-31062 Toulouse Cedex 4, France
    e-mail

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