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- W1986137768 abstract "We prove existence and uniqueness of the solution of a homogeneous quantum Boltzmann equation describing the photon–electron interaction. We study the asymptotic behaviour of the solutions, and show in particular, that the photon density distribution condensates at the origin asymptotically in time when the total number of photons is larger than a given positive constant. We also recover the Kompaneets equation as a Fokker–Planck type limit of this Boltzmann model. Nous démontrons l'existence et l'unicité de la solution d'une équation de Boltzmann quantique homogène décrivant l'interaction photons–électrons. Nous étudions le comportement asymptotique des solutions et nous montrons, en particulier, que la densité de photons se condense à l'origine en temps infini lorsque le nombre de photons est suffisamment grand. Nous retrouvons aussi l'équation de Kompaneets comme une limite de type Fokker–Planck à partir de ce modèle d'équation de Boltzmann." @default.
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- W1986137768 date "2001-06-01" @default.
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- W1986137768 title "On a quantum Boltzmann equation for a gas of photons" @default.
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- W1986137768 doi "https://doi.org/10.1016/s0021-7824(00)01201-0" @default.
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