Speaker
Miguel Rodrigues
(Univ Rennes)
Description
Co-authors: Ziang Jiao, Zhao Yang (Beijing, China), Changzhen Sun (Besançon, France)
Abstract: 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.