Bose Condensates in Interaction with Excitations: A Two-Component Space-Dependent Model Close to Equilibrium
Résumé
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.
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