Collection 2026 - T2 - Mathematical developments in geophysical fluid dynamics

Organisateur(s) Dormy, Emmanuel ; Lacave, Christophe ; Oruba, Ludivine ; Vasseur, Alexis

Date(s) 13/04/2026 - 10/07/2026

URL associée https://indico.math.cnrs.fr/event/13866/

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On the Instability of Small Stokes Waves

Apparaît également dans la collection : 2026 - T2 - WS2 - Instabilities and transitions in geophysical flows

We report on a recent proof that all irrotational planar periodic travelling waves of sufficiently small-amplitude are spectrally unstable as solutions to three-dimensional inviscid finite-depth gravity water-waves equations. The associated temporal growth scales sharply with respect to the amplitude of the wave.

Co-authors: Ziang Jiao, Zhao Yang (Beijing, China), Changzhen Sun (Besançon, France)

Informations sur la vidéo

Date de captation 21/05/2026
Date de publication 06/06/2026
Institut IHP
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Service audiovisuel de l'IHP
Format MP4
Lieu IHP - Hermite Amphitheater

Données de citation

DOI 10.57987/IHP.2026.T2.WS2.020
Citer cette vidéo Rodrigues, Miguel (21/05/2026). On the Instability of Small Stokes Waves. IHP. Audiovisual resource. DOI: 10.57987/IHP.2026.T2.WS2.020
URL https://dx.doi.org/10.57987/IHP.2026.T2.WS2.020

Domaine(s)

Equations aux dérivées partielles

Bibliographie

Small-amplitude finite-depth Stokes waves are transversally unstable Jiao, Ziang; Rodrigues, L. Miguel; Sun, Changzhen; Yang, Zhao Comm. Math. Phys. 406 (2025), no. 10, Paper No. 255, 38 pp.