English
Stability of propagation fronts in congestion models
Multi angle
Auteurs : ... (Auteur de la Conférence)
... (Editeur )
35B35 - Stability of solutions of PDE
35Q35 - PDEs in connection with fluid mechanics
35R35 - Free boundary problems
... (Editeur )
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Résumé :
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.
Keywords : congestion problem; free boundary; stability of traveling waves
Codes MSC : For each model, we prove the existence of traveling waves, and we study their stability. This is a joint work with Charlotte Perrin.
Keywords : congestion problem; free boundary; stability of traveling waves
35B35 - Stability of solutions of PDE
35Q35 - PDEs in connection with fluid mechanics
35R35 - Free boundary problems
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Informations sur la Vidéo
Langue : AnglaisDate de publication : 10/11/2020 Date de captation : 27/10/2020 Sous collection : Research talks arXiv category : Analysis of PDEs Domaine : PDE Format : MP4 (.mp4) - HD Durée : 00:54:23 Audience : Researchers Download : https://videos.cirm-math.fr/2020-10-27_Dalibard.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Vorticity, Rotation and Symmetry (V) – Global Results and Nonlocal Phenomena / Vorticité, rotation et symétrie (V) – Résultats globaux et phénomènes non locaux Dates : 26/10/2020 - 30/10/2020 Année de la rencontre : 2020 URL Congrès : https://conferences.cirm-math.fr/2166.html
Données de citation
DOI : 10.24350/CIRM.V.19678503Citer cette vidéo: (2020). Stability of propagation fronts in congestion models. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19678503 URI : http://dx.doi.org/10.24350/CIRM.V.19678503 |
Voir aussi
- [Multi angle] Compressible Euler equations under a maximal density constraint / Auteur de la Conférence ....
- [Multi angle] Geometric structures in 2D Navier-Stokes flows / Auteur de la Conférence ....
- [Multi angle] Uniqueness of the Boussinesq system in critical spaces using maximal regularity / Auteur de la Conférence ....
Bibliographie
- 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
