Mathematics > Analysis of PDEs
[Submitted on 3 Sep 2024
(v1)
, last revised 30 Jul 2025 (this version, v2)]
Title: Small-amplitude finite-depth Stokes waves are transversally unstable
Title: 小振幅有限深度斯托克斯波是横向不稳定的
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.
Submission history
From: Zhao Yang [view email][v1] Tue, 3 Sep 2024 07:11:00 UTC (201 KB)
[v2] Wed, 30 Jul 2025 14:39:19 UTC (472 KB)
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