Volume 69, 2020Second Workshop on Compressible Multiphase Flows: Derivation, closure laws, thermodynamics
|Page(s)||70 - 78|
|Published online||12 February 2021|
Some mathematical properties of a barotropic multiphase flow model
Université de Lyon, CNRS UMR 5208, Université Lyon 1, Institut Camille Jordan, 43 bd 11 novembre 1918 ; F-69622 Villeur- banne cedex, France
2 Irmar (UMR 6625), Université de Rennes 1, 263 avenue du Général Leclerc, CS 74205, 35042 Rennes Cedex, France
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.
Mathematics Subject Classification: 76T30 / 76T10 / 35L60 / 35Q35 / 35F55
Key words: Multiphase flows / Compressible flows / Hyperbolic PDEs / Entropy / Symmetrizable systems
© EDP Sciences, SMAI 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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