The Benjamin-Feir instability in the infinite depth

Published 3 Sep 2020 in math.AP, nlin.PS, and physics.flu-dyn | (2009.01593v3)

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

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