“…The Date: June 1, 2022. literature about immiscible multiphase configurations is huge; the reader may refer to recent publications [16,13] for the modelling and analysis and to [28,31] for numerical approximations of such immiscible models. Recently models of compressible flows with miscible phases have been proposed [27,22,23,18,17], see also [1]. They depict the dynamical and thermodynamical behaviour of a mixture composed of a liquid, its vapor and an inert gas ( [17] considers in addition another liquid phase).…”