Physics and Mathematics of hydrodynamic and wave turbulence / Physique et Mathématiques de la turbulence hydrodynamique et de la turbulence d'ondes

Collection Physics and Mathematics of hydrodynamic and wave turbulence / Physique et Mathématiques de la turbulence hydrodynamique et de la turbulence d'ondes

Organizer(s) Chevillard, Laurent ; Cortet, Pierre-Philippe ; Mordant, Nicolas ; Saint-Raymond, Laure ; Shatah, Jalal

Date(s) 26/05/2025 - 30/05/2025

linked URL https://conferences.cirm-math.fr/3173.html

00:00:00 / 00:00:00

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Wave-wave interactions in rotating stratified flows - lecture 1

By Giorgio Krstulovic

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.

Information about the video

Date of recording 29/05/2025
Date of publication 20/06/2025
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.20352403
Cite this video Krstulovic, Giorgio (29/05/2025). Wave-wave interactions in rotating stratified flows - lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20352403
URL https://dx.doi.org/10.24350/CIRM.V.20352403

Domain(s)

Bibliography

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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