Français
Stability of propagation fronts in congestion models
Multi angle
Authors : Dalibard, Anne-Laure (Author of the conference)
CIRM (Publisher )
35B35 - Stability of solutions of PDE
35Q35 - PDEs in connection with fluid mechanics
35R35 - Free boundary problems
CIRM (Publisher )
Loading the player...
|
Abstract :
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
MSC Codes : 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
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 10/11/2020 Conference Date : 27/10/2020 Subseries : Research talks arXiv category : Analysis of PDEs Mathematical Area(s) : PDE Format : MP4 (.mp4) - HD Video Time : 00:54:23 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2020-10-27_Dalibard.mp4 
|
Information on the Event
Event Title : Vorticity, Rotation and Symmetry (V) – Global Results and Nonlocal Phenomena / Vorticité, rotation et symétrie (V) – Résultats globaux et phénomènes non locaux Event Organizers : Danchin, Raphaël ; Farwig, Reinhard ; Necasova, Sarka ; Neustupa, Jiri Dates : 26/10/2020 - 30/10/2020 Event Year : 2020 Event URL : https://conferences.cirm-math.fr/2166.html
Citation Data
DOI : 10.24350/CIRM.V.19678503Cite this video as: Dalibard, Anne-Laure (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 |
See Also
- [Multi angle] Compressible Euler equations under a maximal density constraint / Author of the conference Perrin, Charlotte.
- [Multi angle] Geometric structures in 2D Navier-Stokes flows / Author of the conference Brandolese, Lorenzo.
- [Multi angle] Uniqueness of the Boussinesq system in critical spaces using maximal regularity / Author of the conference Monniaux, Sylvie.
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
