Bose condensate inb interaction with excitations - a two-component space-dependent model close to equilibrium
arXiv:1307.3012
Abstract
The paper considers a model for Bose gases in the so-called 'high-temperature range' below the temperature Tc, where Bose-Einstein condensation sets in.The model is of non-linear two-component type, consisting of a kinetic equation with periodic boundary conditions for the distribution function of a gas of excitations interacting with a Bose condensate, which is described by a Gross-Pitaevskii equation. Results on well-posedness and long time behaviour are proved in a H1-setting close to equilibrium.
32 pages, fills a technical gap in Lemma 3.4. arXiv admin note: text overlap with arXiv:1207.0596