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arXiv · 2112.13788

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

Miguel Escobedo
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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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Miguel Escobedo. 2021-12-27. On the linearized system of equations for the condensate-normal fluid interaction at very low temperature. https://arxiv.org/abs/2112.13788

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