The grazing collision limit of Kac caricature of Bose-Einstein particles
نویسندگان
چکیده
We discuss the grazing collision limit of certain kinetic models of Bose-Einstein particles obtained from a suitable modification of the onedimensional Kac caricature of a Maxwellian gas without cut-off. We recover in the limit a nonlinear Fokker-Planck equation which presents many similarities with the one introduced by Kaniadakis and Quarati in [13]. In order to do so, we perform a study of the moments of the solution. Moreover, as is typical in Maxwell models, we make an essential use of the Fourier version of the equation.
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ورودعنوان ژورنال:
- Asymptotic Analysis
دوره 72 شماره
صفحات -
تاریخ انتشار 2011