Issue |
ESAIM: ProcS
Volume 69, 2020
Second Workshop on Compressible Multiphase Flows: Derivation, closure laws, thermodynamics
|
|
---|---|---|
Page(s) | 70 - 78 | |
DOI | https://doi.org/10.1051/proc/202069070 | |
Published online | 12 February 2021 |
Some mathematical properties of a barotropic multiphase flow model
1
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.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.