Some mathematical properties of a barotropic multiphase flow model

Abstract

We study a model for compressible multiphase flows involving N non miscible barotopic phases where N is arbitrary. This model boils down to the barotropic Baer-Nunziato model when N = 2. We prove the weak hyperbolicity property, the non-strict convexity of the natural mathematical entropy, and the existence of a symmetric form.

Keywords

• multiphase flows
• compressible flows
• hyperbolic pdes
• entropy
• symmetrizable systems