On a quantum Boltzmann equation for a gas of photons.
type: Item
instance of: scholarly article
title: On a quantum Boltzmann equation for a gas of photons.
zbMATH Open document ID: 1134.82318
DOI: 10.1016/S0021-7824(00)01201-0
author: M. Escobedo
author: Stéphane Mischler
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2002-07-24T00:00:00Z
review text: In this article the existence and uniqueness of the solution and its convergence to equilibrium are proved for the nonlinear spatially homogeneous quantum Boltzmann equation describing Compton electron-photon scattering. Apart from trivial factors occurring naturally the collision term is assumed to be of convolution type in the wave number with a positive convolution kernel. A thorough study of the stationary solutions and the entropy dissipation term are made. A rigorous proof is given to show that the Kompaneets equation occurs as the Fokker-Planck type limit of the Boltzmann equation studied.
Mathematics Subject Classification ID: 82C10
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 82C40
zbMATH DE Number: 1770834
zbMATH Keywords: quantum Boltzmann equation
zbMATH Keywords: entropy dissipation term
zbMATH Keywords: Kompaneets equation
zbMATH Keywords: Boltzmann-Compton equation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1770834