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arXiv · 2409.01663

Small-amplitude finite-depth Stokes waves are transversally unstable

Ziang Jiao·L. Miguel Rodrigues·Changzhen Sun·Zhao Yang
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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.

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Ziang Jiao, L. Miguel Rodrigues, Changzhen Sun, Zhao Yang. 2024-09-03. Small-amplitude finite-depth Stokes waves are transversally unstable. https://arxiv.org/abs/2409.01663

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