Global Weak Solutions to a Generic Two-Fluid Model

This paper deals with mathematical properties of a generic two-fluid flow model commonly used in industrial applications. More precisely, we address the question of whether available mathematical results in the case of a single-fluid governed by the compressible barotropic Navier–Stokes equations may be extended to such a two-phase model. We focus on existence of global weak solutions, linear theory and determination of eigenvalues and invariant regions.