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<p>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.</p>

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Small-Amplitude Finite-Depth Stokes Waves are Transversally Unstable

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Ziang Jiao,
  • L. Miguel Rodrigues,
  • Changzhen Sun,
  • Zhao Yang

摘要

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.