2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229475We 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.29 pagesMathematical PhysicsAnalysis of PDEs76Y05, 82C40, 82D50text