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arXiv · 2009.01593

The Benjamin-Feir instability in the infinite depth

Vera Mikyoung Hur
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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.

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Vera Mikyoung Hur. 2021-02-16. The Benjamin-Feir instability in the infinite depth. https://arxiv.org/abs/2009.01593

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