On the Cauchy problem for the homogebeous Boltzmann-Nordheim equation for bosons

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• Marc Briant, Brown University
• Monday 16 February 2015, 16:00-17:00
• CMS, MR13.

If you have a question about this talk, please contact Amit Einav.

The Boltzmann-Nordheim equation rules the dynamics of rarefied bosonic gases from a mesoscopic viewpoint. One of its main interest is that it encodes the process leading to the creation of the Bose-Einstein condensat. In this talk I introduce some basics of kinetic theory with a particular focus on the Boltzmann equation, to which the Boltzmann-Nordheim equation is a quantic version. I formally discuss the creation of the Bose-Einstein condensate and present the recent results on existence and uniqueness in the spatially homogeneous case.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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