Inhomogeneous Flows: Asymptotic Models and Interfaces Evolution / Fluides inhomogènes : modèles asymptotiques et évolution d'interfaces

Collection Inhomogeneous Flows: Asymptotic Models and Interfaces Evolution / Fluides inhomogènes : modèles asymptotiques et évolution d'interfaces

Organizer(s) Charve, Frédéric ; Danchin, Raphaël ; Haspot, Boris ; Monniaux, Sylvie

Date(s) 23/09/2019 - 27/09/2019

linked URL https://conferences.cirm-math.fr/1919.html

00:00:00 / 00:00:00

2 5

Existence and stability of partially congested fronts

By Charlotte Perrin

In this talk, I will present a recent study on traveling waves solutions to a 1D biphasic Navier-Stokes system coupling compressible and incompressible phases. With this original fluid equations, we intend to model congestion (or saturation) phenomena in heterogeneous flows (mixtures, collective motion, etc.). I will first exhibit explicit partially congested propagation fronts and show that these solutions can be approached by profiles which are solutions to a singular compressible Navier-Stokes system. The last part of the talk will be dedicated to the analysis of the stability of the approximate profiles. This is a joint work with Anne-Laure Dalibard.

Information about the video

Date of recording 26/09/2019
Date of publication 14/10/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19563003
Cite this video Perrin, Charlotte (26/09/2019). Existence and stability of partially congested fronts. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19563003
URL https://dx.doi.org/10.24350/CIRM.V.19563003

Domain(s)

Analysis of PDEs

Bibliography

DALIBARD, Anne-Laure et PERRIN, Charlotte. Existence and stability of partially congested propagation fronts in a one-dimensional Navier-Stokes model. arXiv preprint arXiv:1902.02982, 2019. - https://arxiv.org/abs/1902.02982

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