DERIVATION OF A TWO-FLUIDS MODEL FOR A BOSE GAS FROM A QUANTUM KINETIC SYSTEM

被引：5

作者：

Allemand, Thibaut ^{[1
]}

机构：

[1] Ecole Normale Super, DMA, F-75230 Paris 05, France

来源：

关键词：

Bose gas; hydrodynamic limit; Bose-Einstein condensate; NONLINEAR HYPERBOLIC SYSTEMS; BOLTZMANN-EQUATION;

D O I：

10.3934/krm.2009.2.379

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：379 / 402

页数：24

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