The Benjamin-Feir instability in the infinite depth
Analysis of PDEs
2021-02-18 v3 Pattern Formation and Solitons
Fluid Dynamics
Abstract
We prove that a Stokes' periodic wave of sufficiently small amplitude, traveling under gravity at the free surface of a two dimensional, infinitely deep, and irrotational flow, is spectrally unstable to slow modulation, rigorously justifying Benjamin and Feir's formal argument.
Keywords
Cite
@article{arxiv.2009.01593,
title = {The Benjamin-Feir instability in the infinite depth},
author = {Vera Mikyoung Hur},
journal= {arXiv preprint arXiv:2009.01593},
year = {2021}
}
Comments
There was an error in Section 6