English
Wave-wave interactions in rotating stratified flows - lecture 1
Multi angle
Auteurs : Krstulovic, Giorgio (Auteur de la Conférence)
... (Editeur )
74J30 - Nonlinear waves
76F55 - Statistical turbulence modeling
76B55
... (Editeur )
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Résumé :
Internal and inertial waves propagate in the bulk of rotating stratified fluids and play an important role in oceans and atmospheres. They interact nonlinearly, triggering instabilities and energy transfers along scales in a cascade process. In the first lecture, I will briefly introduce the general wave turbulence theory, including somehints on the derivation of the wave kinetic equation (WKE) in the general case. Then, I will discuss how we use the WKE to describe wave turbulent cascades and when this description is valid mathematically and then expected to be realisable in experiments and nature. In the second lecture, I will apply the concept of wave turbulence to the case of rotating andstratified fluids, explain the main theoretical difficulties and give an overview of some of the current experiments and simulations.
Keywords : wave turbulence; kinetic equation; internal gravity waves
Codes MSC : Keywords : wave turbulence; kinetic equation; internal gravity waves
74J30 - Nonlinear waves
76F55 - Statistical turbulence modeling
76B55
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 20/06/2025 Date de captation : 29/05/2025 Sous collection : Research School arXiv category : Fluid Dynamics ; Chaotic Dynamics Domaine : Mathematical Physics Format : MP4 (.mp4) - HD Durée : 01:30:30 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-05-29_Krstulovic_Part1.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Physics and Mathematics of hydrodynamic and wave turbulence / Physique et Mathématiques de la turbulence hydrodynamique et de la turbulence d'ondesOrganisateurs de la rencontre : Chevillard, Laurent ; Cortet, Pierre-Philippe ; Mordant, Nicolas ; Saint-Raymond, Laure ; Shatah, Jalal Dates : 26/05/2025 - 30/05/2025 Année de la rencontre : 2025 URL Congrès : https://conferences.cirm-math.fr/3173.html
Données de citation
DOI : 10.24350/CIRM.V.20352403Citer cette vidéo: Krstulovic, Giorgio (2025). Wave-wave interactions in rotating stratified flows - lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20352403 URI : http://dx.doi.org/10.24350/CIRM.V.20352403 |
Voir aussi
- [Multi angle] On anomalous diffusion Lecture 2 / Auteur de la Conférence Vicol, Vlad.
- [Multi angle] On anomalous diffusion Lecture 1 / Auteur de la Conférence Vicol, Vlad.
- [Multi angle] On anomalous diffusion - lecture 2 / Auteur de la Conférence Armstrong, Scott.
- [Multi angle] On anomalous diffusion - lecture 1 / Auteur de la Conférence Armstrong, Scott.
- [Multi angle] Inertia-gravity waves interacting with background flows- lecture 2 - Strong-dispersion regime / Auteur de la Conférence Gallet, Basile.
- [Multi angle] Whither spontaneous stochasticity ? - lecture 3 / Auteur de la Conférence Eyink, Gregory.
- [Multi angle] Eulerian spontaneous stochasticity - lecture 2 / Auteur de la Conférence Eyink, Gregory.
- [Multi angle] Instabilities and singularities within fluid boundary layers - lecture 3 / Auteur de la Conférence Dalibard, Anne-Laure.
- [Multi angle] Instabilities and singularities within fluid boundary layers - lecture 2 / Auteur de la Conférence Dalibard, Anne-Laure.
- [Multi angle] Wave-wave interactions in rotating stratified flows - lecture 2 / Auteur de la Conférence Krstulovic, Giorgio.
- [Multi angle] Inertia-gravity waves interacting with background flows - lecture 1 / Auteur de la Conférence Gallet, Basile.
- [Multi angle] Lagrangian spontaneous stochasticity - lecture 1 / Auteur de la Conférence Eyink, Gregory.
- [Multi angle] Instabilities and singularities within fluid boundary layers - lecture 1 / Auteur de la Conférence Dalibard, Anne-Laure.
Bibliographie
- NAZARENKO, Sergey. Wave turbulence. Contemporary Physics, 2015, vol. 56, no 3, p. 359-373 - https://doi.org/10.1080/00107514.2015.1015250
- MCCOMAS, C. Henry et BRETHERTON, Francis P. Resonant interaction of oceanic internal waves. Journal of Geophysical Research, 1977, vol. 82, no 9, p. 1397-1412. - https://doi.org/10.1029/JC082i009p01397
- CAILLOL, Ph et ZEITLIN, V. Kinetic equations and stationary energy spectra of weakly nonlinear internal gravity waves. Dynamics of atmospheres and oceans, 2000, vol. 32, no 2, p. 81-112. - https://doi.org/10.1016/S0377-0265(99)00043-3
- LVOV, Yuri V. et TABAK, Esteban G. Hamiltonian formalism and the Garrett-Munk spectrum of internal waves in the ocean. Physical review letters, 2001, vol. 87, no 16, p. 168501. - https://doi.org/10.1103/PhysRevLett.87.168501
- GALTIER, Sébastien. Weak inertial-wave turbulence theory. Physical Review E, 2003, vol. 68, no 1, p. 015301. - https://doi.org/10.1103/PhysRevE.68.015301
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