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

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.

preprint2016arXivOpen access
L. ArkerydA. Nouri
math-phmath.MP
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Open access2 authors2 topics
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L. ArkerydA. Nouri

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