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Wave-wave interactions in rotating stratified flows - lecture 1
Multi angle
Authors : Krstulovic, Giorgio (Author of the conference)
CIRM (Publisher )
74J30 - Nonlinear waves
76F55 - Statistical turbulence modeling
76B55
CIRM (Publisher )
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Abstract :
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
MSC Codes : Keywords : wave turbulence; kinetic equation; internal gravity waves
74J30 - Nonlinear waves
76F55 - Statistical turbulence modeling
76B55
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 20/06/2025 Conference Date : 29/05/2025 Subseries : Research School arXiv category : Fluid Dynamics ; Chaotic Dynamics Mathematical Area(s) : Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 01:30:30 Targeted 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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Information on the Event
Event Title : Physics and Mathematics of hydrodynamic and wave turbulence / Physique et Mathématiques de la turbulence hydrodynamique et de la turbulence d'ondesEvent Organizers : Chevillard, Laurent ; Cortet, Pierre-Philippe ; Mordant, Nicolas ; Saint-Raymond, Laure ; Shatah, Jalal Dates : 26/05/2025 - 30/05/2025 Event Year : 2025 Event URL : https://conferences.cirm-math.fr/3173.html
Citation Data
DOI : 10.24350/CIRM.V.20352403Cite this video as: 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 |
See Also
- [Multi angle] On anomalous diffusion Lecture 2 / Author of the conference Vicol, Vlad.
- [Multi angle] On anomalous diffusion Lecture 1 / Author of the conference Vicol, Vlad.
- [Multi angle] On anomalous diffusion - lecture 2 / Author of the conference Armstrong, Scott.
- [Multi angle] On anomalous diffusion - lecture 1 / Author of the conference Armstrong, Scott.
- [Multi angle] Inertia-gravity waves interacting with background flows- lecture 2 - Strong-dispersion regime / Author of the conference Gallet, Basile.
- [Multi angle] Whither spontaneous stochasticity ? - lecture 3 / Author of the conference Eyink, Gregory.
- [Multi angle] Eulerian spontaneous stochasticity - lecture 2 / Author of the conference Eyink, Gregory.
- [Multi angle] Instabilities and singularities within fluid boundary layers - lecture 3 / Author of the conference Dalibard, Anne-Laure.
- [Multi angle] Instabilities and singularities within fluid boundary layers - lecture 2 / Author of the conference Dalibard, Anne-Laure.
- [Multi angle] Wave-wave interactions in rotating stratified flows - lecture 2 / Author of the conference Krstulovic, Giorgio.
- [Multi angle] Inertia-gravity waves interacting with background flows - lecture 1 / Author of the conference Gallet, Basile.
- [Multi angle] Lagrangian spontaneous stochasticity - lecture 1 / Author of the conference Eyink, Gregory.
- [Multi angle] Instabilities and singularities within fluid boundary layers - lecture 1 / Author of the conference Dalibard, Anne-Laure.
Bibliography
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- 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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