On the Cauchy problem for the homogebeous Boltzmann-Nordheim equation for bosons
- đ¤ Speaker: Marc Briant, Brown University
- đ Date & Time: Monday 16 February 2015, 16:00 - 17:00
- đ Venue: CMS, MR13
Abstract
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.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
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Marc Briant, Brown University
Monday 16 February 2015, 16:00-17:00