On the stability of finite-depth Stokes waves: effects of surface tension and vorticity.

par Changzhen Sun (CNRS - Besançon)

mardi 17 nov. 2026, 14:00 → 15:00 Europe/Paris

Fokko (ICJ)

The stability of periodic water waves (usually referred to as Stokes waves) is a classical problem in the mathematical study of water waves. Previous works have established the spectral instability of all sufficiently small-amplitude periodic gravity water waves. In this talk, I will discuss how two additional physical effects, namely surface tension and constant vorticity, can modify this instability. I will present recent results on the full spectral stability of capillary-gravity waves and the modulational stability of gravity waves with constant vorticity in finite depth.