On the linearized system of equations for the condensate-normal fluid interaction at very low temperature
Analysis of PDEs
2021-12-28 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2112.13788,
title = {On the linearized system of equations for the condensate-normal fluid interaction at very low temperature},
author = {Miguel Escobedo},
journal= {arXiv preprint arXiv:2112.13788},
year = {2021}
}