1307.3012 (L. Arkeryd et al.)

Bose condensate inb interaction with excitations - a two-component
space-dependent model close to equilibrium    [PDF]

L. Arkeryd, A. Nouri

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 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.

View original: http://arxiv.org/abs/1307.3012