English
Mean field results in fluid mechanics - Lecture 3
Multi angle
Auteurs : Flandoli, Franco (Auteur de la conférence)
CIRM (Editeur )
70F99 - None of the above but in this section
76F25 - Turbulent transport, mixing
35Q70 - PDEs in connection with mechanics of particles and systems
CIRM (Editeur )
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Résumé :
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.
Mots-Clés : stochastic fluid; turbulence; coalescing particles
Codes MSC : Mots-Clés : 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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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 26/01/2024 Date de Captation : 11/01/2024 Sous Collection : Research School Catégorie arXiv : Probability Domaine(s) : Analyse & Applications ; EDP ; Physique Mathématique ; Probabilités & Statistiques Format : MP4 (.mp4) - HD Durée : 01:31:03 Audience : Chercheurs ; Etudiants Science Cycle 2 ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-01-11_Flandoli_3.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : Stochastic and Deterministic Analysis for Irregular Models / Analyse stochastique et déterministe pour les modèles irréguliersOrganisateurs de la Rencontre : Olivera, Christian ; Richard, Alexandre ; Russo, Francesco ; Tomašević, Milica Dates : 08/01/2024 - 12/01/2024 Année de la rencontre : 2024 URL de la Rencontre : https://conferences.cirm-math.fr/2993.html
Données de citation
DOI : 10.24350/CIRM.V.20122503Citer cette vidéo: Flandoli, Franco (2024). Mean field results in fluid mechanics - Lecture 3. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20122503 URI : http://dx.doi.org/10.24350/CIRM.V.20122503 |
Voir Aussi
- [Multi angle] Numerical methods for SDEs with singular coefficients - Lecture 3 / Auteur de la conférence Jourdain, Benjamin.
- [Multi angle] Numerical methods for SDEs with singular coefficients - Lecture 2 / Auteur de la conférence Jourdain, Benjamin.
- [Multi angle] Mean field results in fluid mechanics - Lecture 2 / Auteur de la conférence Flandoli, Franco.
- [Multi angle] Numerical methods for SDEs with singular coefficients - Lecture 1 / Auteur de la conférence Jourdain, Benjamin.
- [Multi angle] Mean field results in fluid mechanics - Lecture 1 / Auteur de la conférence Flandoli, Franco.
Bibliographie
- ABRAHAMSON, J. Collision rates of small particles in a vigorously turbulent fluid. Chemical Engineering Science, 1975, vol. 30, no 11, p. 1371-1379. - https://doi.org/10.1016/0009-2509(75)85067-6
- BEC, J., GUSTAVSSON, K., et MEHLIG, B. Statistical models for the dynamics of heavy particles in turbulence. arXiv preprint arXiv:2304.01312, 2023. - https://doi.org/10.48550/arXiv.2304.01312
- DOU, Zhongwang, BRAGG, Andrew D., HAMMOND, Adam L., et al. Effects of Reynolds number and Stokes number on particle-pair relative velocity in isotropic turbulence: a systematic experimental study. Journal of Fluid Mechanics, 2018, vol. 839, p. 271-292. - https://doi.org/10.1017/jfm.2017.813
- FALKOVICH, Gregory et PUMIR, Alain. Sling effect in collisions of water droplets in turbulent clouds. Journal of the Atmospheric Sciences, 2007, vol. 64, no 12, p. 4497-4505. - https://doi.org/10.1175/2007JAS2371.1
- FLANDOLI, Franco et HUANG, Ruojun. Coagulation dynamics under environmental noise: scaling limit to SPDE. Latin American Journal of Probability and Mathematical Statistics, 2022, vol 19, p. 1241-1292. - https://doi.org/10.30757/ALEA.v19-51
- HAMMOND, Alan et REZAKHANLOU, Fraydoun. The kinetic limit of a system of coagulating Brownian particles. Archive for rational mechanics and analysis, 2007, vol. 185, no 1, p. 1-67. - http://dx.doi.org/10.1007/s00205-006-0033-5
- MEHLIG, Bernhard, USKI, Ville, et WILKINSON, Michael. Colliding particles in highly turbulent flows. Physics of Fluids, 2007, vol. 19, no 9. - https://doi.org/10.1063/1.2768931
- PAPINI, Andrea, et al. Turbulence Enhancement of Coagulating Processes. PhD thesis, Scuola Normale Superiore 2023. - https://hdl.handle.net/11384/137082
- PAPINI, Andrea, FLANDOLI, Franco, et HUANG, Ruojun. Turbulence enhancement of coagulation: The role of eddy diffusion in velocity. Physica D: Nonlinear Phenomena, 2023, vol. 448, p. 133726. - https://doi.org/10.1016/j.physd.2023.133726
- PUMIR, Alain et WILKINSON, Michael. Collisional aggregation due to turbulence. Annual Review of Condensed Matter Physics, 2016, vol. 7, p. 141-170. - https://doi.org/10.1146/annurev-conmatphys-031115-011538
- WILKINSON, Michael, MEHLIG, Bernhard, et BEZUGLYY, Vlad. Caustic activation of rain showers. Physical review letters, 2006, vol. 97, no 4, p. 048501. - http://dx.doi.org/10.1103/PhysRevLett.97.048501
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