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Inertia-gravity waves interacting with background flows- lecture 2 - Strong-dispersion regime

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Auteurs : Gallet, Basile (Auteur de la Conférence)
CIRM (Editeur )

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Résumé : The Ocean hosts a combination of slowly evolving balanced mean flows and rapidly evolving inertia-gravity waves (IGWs). While reduced models describing the slow balanced flow are standard textbook material [1], the description of the wave field is an active area of current research. We will first consider near-inertial waves (NIWs) induced by wind blowing over the Ocean, with the goal of determining their spatial reorganization by a background mean flow [2]. After deriving the standard asymptotic model governing NIW mean-flow interaction [3], we will highlight an analogy with the (quantum) dynamics of charged particles in a background electromagnetic field. The analogy offers a shortcut for predicting the spatial organization of the wave field using elementary methods from quantum physics and statistical mechanics. Time-permitting, we will then move on to fully 3D IGWs interacting with a slow background, focusing on the resulting cascade of wave action to small scales [4]. This is an elementary example of a turbulent cascade in a linear wave system, paving the way for subsequent lectures by G. Krstulovic on turbulent cascades in nonlinear wave systems.

Keywords : wave-mean flow interaction; statistical physics

Codes MSC :
76D05 - Navier-Stokes equations (fluid dynamics)
76D33 - Waves
76U05 - Rotating fluids

    Informations sur la Vidéo

    Réalisateur : Récanzone, Luca
    Langue : Anglais
    Date de publication : 20/06/2025
    Date de captation : 27/05/2025
    Sous collection : Research School
    arXiv category : Fluid Dynamics
    Domaine : Mathematical Physics
    Format : MP4 (.mp4) - HD
    Durée : 01:33:55
    Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students
    Download : https://videos.cirm-math.fr/2025-05-27_Gallet_Part2.mp4

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'ondes
Organisateurs 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.20352303
Citer cette vidéo: Gallet, Basile (2025). Inertia-gravity waves interacting with background flows- lecture 2 - Strong-dispersion regime. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20352303
URI : http://dx.doi.org/10.24350/CIRM.V.20352303

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