On the linearized system of equations for the condensate-normal fluid interaction at very low temperature

2021/12/27 by Miguel Escobedo, Escobedo, Miguel · 2 citations
Mathematics · Physics and Astronomy · #45A05 #45K05 #45M05 #82C05 #82C22 #82C40 #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.2112.13788

openalex publication_date 2021/12/27 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

The linearization around one of its equilibrium of a system that describes the correlations between the superfluid component and the normal fluid part of a condensed Bose gas in the approximation of very low temperature and small condensate density, is studied. A simple and transparent argument gives a necessary and sufficient condition on the initial data for the existence of global solutions satisfying the conservation of the total number of particles and energy. Their convergence to a suitable stationary state is also shown and rates of convergence for the normal fluid and superfluid components are obtained.

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