Bose condensate inb interaction with excitations - a two-component space-dependent model close to equilibrium
Mathematical Physics
2016-03-09 v4 math.MP
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.
Cite
@article{arxiv.1307.3012,
title = {Bose condensate inb interaction with excitations - a two-component space-dependent model close to equilibrium},
author = {L. Arkeryd and A. Nouri},
journal= {arXiv preprint arXiv:1307.3012},
year = {2016}
}
Comments
32 pages, fills a technical gap in Lemma 3.4. arXiv admin note: text overlap with arXiv:1207.0596