Special Session 9: Recent Progress in Mathematical Theory of Stability and Instability in Fluid Dynamics
Small-amplitude finite-depth Stokes waves are transversally unstable
Zhao Yang
Academy of Mathematics and Systems Science Peoples Rep of China
Co-Author(s): Ziang Jiao, L. Miguel Rodrigues, Changzhen Sun, Zhao Yang
Abstract:
We prove 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.