Back to Search Start Over

Small-amplitude finite-depth Stokes waves are transversally unstable

Authors :
Jiao, Ziang
Rodrigues, L. Miguel
Sun, Changzhen
Yang, Zhao
Publication Year :
2024

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.<br />Comment: 29 pages, 1 figure

Subjects

Subjects :
Mathematics - Analysis of PDEs
76B15, 35B35, 35C07, 35B10, 37K45, 35Q35

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2409.01663
Document Type :
Working Paper

Tools

Authors Abstract Subjects Details