Derivation of a two-fluids model for a Bose gas from a quantum kinetic system
| dc.creator | Allemand, Thibaut | |
| dc.date | 2008-12-09 | |
| dc.date | 2009-03-23 | |
| dc.date.accessioned | 2026-07-07T13:12:03Z | |
| dc.date.available | 2026-07-07T13:12:03Z | |
| dc.description | 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. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/0812.1721 | |
| dc.identifier | http://arxiv.org/abs/0812.1721 | |
| dc.identifier | Kinetic and Related Models (KRM) 2, 2 (2009) 379 - 402 | |
| dc.identifier | doi:10.3934/krm.2009.2.379 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229475 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 76Y05, 82C40, 82D50 | |
| dc.title | Derivation of a two-fluids model for a Bose gas from a quantum kinetic system | |
| dc.type | text |