Small-amplitude finite-depth Stokes waves are transversally unstable
Analysis of PDEs
2025-07-31 v2
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.
Cite
@article{arxiv.2409.01663,
title = {Small-amplitude finite-depth Stokes waves are transversally unstable},
author = {Ziang Jiao and L. Miguel Rodrigues and Changzhen Sun and Zhao Yang},
journal= {arXiv preprint arXiv:2409.01663},
year = {2025}
}
Comments
Slighted extended revised version, 32 pages, 2 figures