Stability of propagation fronts in congestion models | Vidéo | Carmin.tv

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Stability of propagation fronts in congestion models

By Anne-Laure Dalibard

Appears in collection : Vorticity, Rotation and Symmetry (V) – Global Results and Nonlocal Phenomena / Vorticité, rotation et symétrie (V) – Résultats globaux et phénomènes non locaux

The purpose of this talk is to present two 1d congestion models: a soft congestion model with a singular pressure, and a hard congestion model in which the dynamic is different in the congested and non-congested zone (incompressible vs. compressible dynamic). The hard congested model is the limit of the soft one as the parameter within the singular presure vanishes. For each model, we prove the existence of traveling waves, and we study their stability. This is a joint work with Charlotte Perrin.

Information about the video

Date of recording 27/10/2020
Date of publication 10/11/2020
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19678503
Cite this video Dalibard, Anne-Laure (27/10/2020). Stability of propagation fronts in congestion models. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19678503
URL https://dx.doi.org/10.24350/CIRM.V.19678503

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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