Geodesic
Some mathematical properties of a barotropic multiphase flow model
Khaled Saleh1 ; Nicolas Seguin2
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
ESAIM. Proceedings, Tome 69 (2020), pp. 70-78.

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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.
DOI : 10.1051/proc/202069070

Khaled Saleh 1 ; Nicolas Seguin 2

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 
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     author = {Khaled Saleh and Nicolas Seguin},
     title = {Some mathematical properties of a barotropic multiphase flow model},
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     doi = {10.1051/proc/202069070},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202069070/}
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Khaled Saleh; Nicolas Seguin. Some mathematical properties of a barotropic multiphase flow model. ESAIM. Proceedings, Tome 69 (2020), pp. 70-78. doi : 10.1051/proc/202069070. http://geodesic.mathdoc.fr/articles/10.1051/proc/202069070/

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