5 papers
Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model
Cosmin Burtea, Timothée Crin-Barat, Pierre Gonin--Joubert
The dynamics of two-phase flows out of mechanical and thermal equilibrium are described by a partially dissipative first-order quasilinear system with stiff interaction terms assoc…
Vanishing conductivity limit for the 1D compressible Navier-Stokes system
Pierre Gonin--Joubert
The present article studies solutions to the compressible Navier-Stokes equations for ideal gases in one dimension when thermal conductivity is present but very weak, while viscosi…
Global in time justification of a two-phase averaged system for heat-conducting ideal gases
Pierre Gonin--Joubert
In this article, we mathematically justify (globally in time) a Baer-Nunziato type system from the non-isentropic compressible Navier-Sokes equations for heat conducting ideal gase…
On the relaxation towards mechanical equilibrium for two-pressure compressible flows
Cosmin Burtea, Timothée Crin-Barat, Pierre Gonin--Joubert
We introduce a symmetrization of a one-velocity two-pressures Baer-Nunziato type model for mixtures of barotropic compressible fluids. It allows us to justify the zero compaction v…
Two-phase averaged system justification for ideal gases without conductivity
D Bresch, C Burtea, P Gonin--Joubert +1
This article concerns the mathematical justification of an averaged system of partial differential equations governing the evolution of a two-phase mixture of compressible ideal fl…