Transverse Instability of Small-Amplitude Finite-Depth Stokes Waves
Luis Miguel Rodrigues
Univ Rennes France
Co-Author(s): Ziang Jiao, Zhao Yang (Beijing, China), Changzhen Sun (Besan\c{c}on, France)
Abstract:
We report on a recent proof that all irrotational planar periodic traveling 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.