Mathematics of fluids in motion: Recent results and trends / Fluides en mouvement : résultats récents et perspectives

Collection Mathematics of fluids in motion: Recent results and trends / Fluides en mouvement : résultats récents et perspectives

Organizer(s) Danchin, Raphaël ; Necasova, Sarka

Date(s) 11/11/2024 - 15/11/2024

linked URL https://conferences.cirm-math.fr/3108.html

00:00:00 / 00:00:00

1 5

A one-dimensional model for suspension flows

By Charlotte Perrin

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.

Information about the video

Date of recording 11/11/2024
Date of publication 29/11/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20270003
Cite this video Perrin, Charlotte (11/11/2024). A one-dimensional model for suspension flows. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20270003
URL https://dx.doi.org/10.24350/CIRM.V.20270003

Domain(s)

Analysis of PDEs

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

MSC codes

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