%0 Journal Article
%T Bose Condensates in Interaction with Excitations: A Two-Component Space-Dependent Model Close to Equilibrium
%+ Chalmers University of Technology [Göteborg]
%+ Institut de Mathématiques de Marseille (I2M)
%A Arkeryd, Leif
%A Nouri, Anne
%< avec comité de lecture
%@ 0022-4715
%J Journal of Statistical Physics
%I Springer Verlag
%V 160
%P 209-238
%8 2015
%D 2015
%R 10.1007/s10955-015-1229-6
%K Low temperature kinetics
%K Bose condensate
%K two-component model
%K 0.7 T_c
%Z Mathematics [math]/Analysis of PDEs [math.AP]Journal articles
%X The paper considers a model for Bose gases in the so-called 'high-temperature range' below the temperature 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 Sobolev space setting close to equilibrium.
%G English
%2 https://hal.science/hal-01261232/document
%2 https://hal.science/hal-01261232/file/JSP-2015.pdf
%L hal-01261232
%U https://hal.science/hal-01261232
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ INSMI
%~ I2M
%~ I2M-2014-
%~ TDS-MACS