2026 - T2 - WS2 - Instabilities and transitions in geophysical flows

Collection 2026 - T2 - WS2 - Instabilities and transitions in geophysical flows

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

Date(s) 18/05/2026 - 22/05/2026

linked URL https://indico.math.cnrs.fr/event/13869/

24 29

On the Instability of Small Stokes Waves

By Miguel Rodrigues

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)

Information about the video

Date of recording 21/05/2026
Date of publication 06/06/2026
Institution IHP
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Service audiovisuel de l'IHP
Format MP4
Venue IHP - Hermite Amphitheater

Domain(s)

Analysis of PDEs

Bibliography

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.

MSC codes

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