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A one-dimensional model for suspension flows
Multi angle
Authors : Perrin, Charlotte (Author of the conference)
CIRM (Publisher )
35B25 - Singular perturbations
35Q35 - PDEs in connection with fluid mechanics
90B20 - Traffic problems
76T20 - Suspensions
CIRM (Publisher )
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Abstract :
We will present in this talk a mathematical model for a mixture composed by solid particles immersed in a viscous liquid. In a dense regime (high concentration of solid particles), the lubrication effects are predominant in the dynamics. Our goal is to study mathematically a minimal effective model, based on compressible Navier-Stokes equations, which take into account lubrication effects via a singular dissipation term. We will also consider the regime where the viscosity of the interstitial fluid tends to 0.
Keywords : partial differential equations; suspension flows; maximal packing; singular limit; duality solutions
MSC Codes : Keywords : partial differential equations; suspension flows; maximal packing; singular limit; duality solutions
35B25 - Singular perturbations
35Q35 - PDEs in connection with fluid mechanics
90B20 - Traffic problems
76T20 - Suspensions
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 29/11/2024 Conference Date : 11/11/2024 Subseries : Research talks arXiv category : Analysis of PDEs Mathematical Area(s) : PDE Format : MP4 (.mp4) - HD Video Time : 00:54:59 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-11-11_Perrin.mp4 
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Information on the Event
Event Title : Mathematics of fluids in motion: Recent results and trends / Fluides en mouvement : résultats récents et perspectivesEvent Organizers : Danchin, Raphaël ; Necasova, Sarka Dates : 11/11/2024 - 15/11/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/3108.html
Citation Data
DOI : 10.24350/CIRM.V.20270003Cite this video as: Perrin, Charlotte (2024). A one-dimensional model for suspension flows. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20270003 URI : http://dx.doi.org/10.24350/CIRM.V.20270003 |
See Also
- [Multi angle] Stability threshold of 2-D Couette flow for the Navier-Stokes equations / Author of the conference Zhang, Zhifei.
- [Multi angle] Endpoint maximal regularity in BMO and its application to fluid mechanics / Author of the conference Ogawa,Takayoshi.
- [Multi angle] The Role of Dissipation in the Existence of Time-Periodic Solutions to PDE Systems / Author of the conference Muha, Boris.
- [Multi angle] The long way of a viscous vortex dipole / Author of the conference Gallay, Thierry.
Bibliography
- CHAUDHURI, Nilasis, MEHMOOD, Muhammed Ali, PERRIN, Charlotte, et al. Duality solutions to the hard-congestion model for the dissipative Aw-Rascle system. Communications in Partial Differential Equations, 2024, vol. 49, no 7-8, p. 671-697. - https://doi.org/10.48550/arXiv.2402.08295
- CHAUDHURI, Nilasis, NAVORET, Laurent, PERRIN, Charlotte, et al. Hard congestion limit of the dissipative Aw–Rascle system. Nonlinearity, 2024, vol. 37, no 4, p. 045018. - https://doi.org/10.48550/arXiv.2209.12449
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