Mean field results in fluid mechanics - Lecture 1 | Vidéo | Carmin.tv

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Mean field results in fluid mechanics - Lecture 1

By Franco Flandoli

Appears in collection : Stochastic and Deterministic Analysis for Irregular Models / Analyse stochastique et déterministe pour les modèles irréguliers

Fluid mechanics is rich in mean ﬁeld results like those of point vortex approximation in 2D. Deviation from the mean ﬁeld is also a next step of great interest. We illustrate these facts with the example of particle aggregation in a turbulent ﬂuid, a problem of interest for initial rain formation or planet formation in stellar dust disks. The particles have inertia, measured by the so-called Stokes number. When Stokes is large, the mean ﬁeld theory describes reality well and produces physical laws coherent with experiments. But when Stokes is small, the mean ﬁeld is not sufficient and a complete solution is still debated. Rigorous elements of the theory and heuristics about the Physics will be given.

Information about the video

Date of recording 08/01/2024
Date of publication 26/01/2024
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.20122103
Cite this video Flandoli, Franco (08/01/2024). Mean field results in fluid mechanics - Lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20122103
URL https://dx.doi.org/10.24350/CIRM.V.20122103

Domain(s)

Probability

Bibliography

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