Existence and stability of partially congested fronts | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Existence and stability of partially congested fronts

By Charlotte Perrin

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

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

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2025

Give feedback