Derivation of a two-fluids model for a Bose gas from a quantum kinetic system
Mathematical Physics
2009-05-07 v2 Analysis of PDEs
math.MP
Abstract
We formally derive the hydrodynamic limit of a system modelling a bosons gas having a condensed part, made of a quantum kinetic and a Gross-Pitaevskii equation. The limit model, which is a two-fluids Euler system, is approximated by an isentropic system, which is then studied. We find in particular some conditions for the hyperbolicity, and we study the weak solutions. A numerical example is given at the end.
Keywords
Cite
@article{arxiv.0812.1721,
title = {Derivation of a two-fluids model for a Bose gas from a quantum kinetic system},
author = {Thibaut Allemand},
journal= {arXiv preprint arXiv:0812.1721},
year = {2009}
}
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29 pages