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1. Small-amplitude finite-depth Stokes waves are transversally unstable

Author

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

Subjects
Mathematics - Analysis of PDEs, 76B15, 35B35, 35C07, 35B10, 37K45, 35Q35
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., Comment: 29 pages, 1 figure

Published
2024

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