We review the modeling and mathematical properties of compressible viscous flows,
ranging from single‐phase systems to two‐phase systems, with a focus on the occurrence of …

In this paper, we study a singular limit problem for a compressible one-velocity bifluid
system. More precisely, we show that solutions of the Kapila system generated by initial data …

This paper concerns the mathematical justification of a macroscopic Baer–Nunziato PDE
bifluid system with a physical relaxation term that is linked to the two viscosities and the two …

In this paper, we study a system of PDE's describing the motion of two compressible viscous
fluids occupying the whole space $\R^ d\;(d\in\{2, 3\} $). First, we prove a local well …

We derive a novel two-phase flow system in porous media as a relaxation limit of
compressible multi-fluid systems. Considering a one-velocity Baer–Nunziato system with …

In this paper we investigate two types of relaxation processes quantitatively in the context of
small data global-in-time solutions for compressible one-velocity multi-fluid models. First, we …

In this paper, we study the free boundary problem of an inviscid two-phase model, where we
take the pressure function as P (n, ρ)= ρ γ+ n α (γ> 1, α≥ 1) with n and ρ being the densities …

This article concerns the mathematical justification of an averaged system of partial
differential equations governing the evolution of a two-phase mixture of heat non …