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Mean field results in fluid mechanics - Lecture 1
Multi angle
Authors : Flandoli, Franco (Author of the conference)
CIRM (Publisher )
70F99 - None of the above but in this section
76F25 - Turbulent transport, mixing
35Q70 - PDEs in connection with mechanics of particles and systems
CIRM (Publisher )
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Abstract :
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.
Keywords : stochastic fluid; turbulence; coalescing particles
MSC Codes : Keywords : stochastic fluid; turbulence; coalescing particles
70F99 - None of the above but in this section
76F25 - Turbulent transport, mixing
35Q70 - PDEs in connection with mechanics of particles and systems
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 26/01/2024 Conference Date : 08/01/2024 Subseries : Research School arXiv category : Probability Mathematical Area(s) : Analysis and its Applications ; PDE ; Mathematical Physics ; Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 01:28:05 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-01-08_Flandoli_1.mp4 
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Information on the Event
Event Title : Stochastic and Deterministic Analysis for Irregular Models / Analyse stochastique et déterministe pour les modèles irréguliersEvent Organizers : Olivera, Christian ; Richard, Alexandre ; Russo, Francesco ; Tomašević, Milica Dates : 08/01/2024 - 12/01/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/2993.html
Citation Data
DOI : 10.24350/CIRM.V.20122103Cite this video as: Flandoli, Franco (2024). Mean field results in fluid mechanics - Lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20122103 URI : http://dx.doi.org/10.24350/CIRM.V.20122103 |
See Also
- [Multi angle] Numerical methods for SDEs with singular coefficients - Lecture 3 / Author of the conference Jourdain, Benjamin.
- [Multi angle] Mean field results in fluid mechanics - Lecture 3 / Author of the conference Flandoli, Franco.
- [Multi angle] Numerical methods for SDEs with singular coefficients - Lecture 2 / Author of the conference Jourdain, Benjamin.
- [Multi angle] Mean field results in fluid mechanics - Lecture 2 / Author of the conference Flandoli, Franco.
- [Multi angle] Numerical methods for SDEs with singular coefficients - Lecture 1 / Author of the conference Jourdain, Benjamin.
Bibliography
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