Derivation of a two-fluids model for a Bose gas from a quantum kinetic system

Details Derivation of a two-fluids model for a Bose gas from a quantum kinetic system Derivation of a two-fluids model for a Bose gas from a quantum kinetic system

2008-12-09

arxiv.org/abs/0812.1721v2

Kinetic and Related Models (KRM) 2, 2 (2009) 379 - 402

Physics

Mathematical Physics

29 pages

Scientific paper

10.3934/krm.2009.2.379

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.

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