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Existence and stability of partially congested fronts
Multi angle
Authors : Perrin, Charlotte (Author of the conference)
CIRM (Publisher )
35L67 - Shocks and singularities, See also {58C27, 76L05}
35Q35 - PDEs in connection with fluid mechanics
CIRM (Publisher )
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Abstract :
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.
Keywords : compressible Navier-Stokes equations; singular limit; free boundary problem
MSC Codes : Keywords : compressible Navier-Stokes equations; singular limit; free boundary problem
35L67 - Shocks and singularities, See also {58C27, 76L05}
35Q35 - PDEs in connection with fluid mechanics
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 14/10/2019 Conference Date : 26/09/2019 Subseries : Research talks arXiv category : Analysis of PDEs Mathematical Area(s) : PDE Format : MP4 (.mp4) - HD Video Time : 00:44:47 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-09-26_Perrin.mp4 
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Information on the Event
Event Title : Inhomogeneous Flows: Asymptotic Models and Interfaces Evolution / Fluides inhomogènes : modèles asymptotiques et évolution d'interfacesEvent Organizers : Charve, Frédéric ; Danchin, Raphaël ; Haspot, Boris ; Monniaux, Sylvie Dates : 23/09/2019 - 27/09/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/1919.html
Citation Data
DOI : 10.24350/CIRM.V.19563003Cite this video as: Perrin, Charlotte (2019). Existence and stability of partially congested fronts. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19563003 URI : http://dx.doi.org/10.24350/CIRM.V.19563003 |
See Also
- [Multi angle] Finite-energy solutions for compressible Euler and Navier-Stokes with nonlocal forces / Author of the conference Zatorska, Ewelina.
- [Multi angle] Da Prato and Grisvard meet global Lagrangian coordinates / Author of the conference Tolksdorf, Patrick.
- [Multi angle] Relative entropy for the Euler-Korteweg system with non-monotone pressure / Author of the conference Giesselmann, Jan.
- [Multi angle] Multiple traveling waves of the Euler-Korteweg system / Author of the conference Audiard, Corentin.
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
