Some mathematical properties of a barotropic multiphase flow model

Khaled Saleh (1, 2, 3) , Nicolas Seguin (4)

1 MMCS - Modélisation mathématique, calcul scientifique
2 ICJ - Institut Camille Jordan
3 UCBL - Université Claude Bernard Lyon 1
4 IRMAR - Institut de Recherche Mathématique de Rennes

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 convexity of the natural mathematical entropy, and the existence of a symmetric form.

Mots clés: Multiphase flows; Compressible flows; Hyperbolic PDEs; Entropy; Symmetrizable systems

Domaines: Mécanique des fluides [physics.class-ph]; Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]

Khaled Saleh, Nicolas Seguin. Some mathematical properties of a barotropic multiphase flow model. ESAIM: Proceedings and Surveys, 2020, 69, pp.70-78. ⟨10.1051/proc/202069070⟩. ⟨hal-01921027v2⟩