18 citations · 34 across the 14 of their papers we have counts for
18 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…
A variational approach to the derivation of reduced models for bubbly flows
Cosmin Burtea, David Gérard-Varet
In this paper, we derive reduced models for the motion of gas bubbles in an ambient inviscid liquid, using Hamilton's least action principle. We first explain how to recover from t…
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…
Weak solutions of a viscous model for fluid-bubbles interaction
Cosmin Burtea, David Gérard-Varet
We present a system of Navier-Stokes type that describes the dynamics of several spherical bubbles of gas in a liquid. It is derived from a more complete model, where the bubbles a…
Discontinuous shear-thickening asymptotic for power-law systems related to compressible flows
Didier Bresch, Cosmin Burtea, Maja Szlenk
In this paper we study the convergence of a power-law model for dilatant compressible fluids to a class of models exhibiting a maximum admissible shear rate, called thick compressi…
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…