Proof of Modulational Instability of Stokes Waves in Deep Water

被引：10
|
作者：
Nguyen, Huy Q. [1 ]
Strauss, Walter A. [2 ]
机构：
[1] Brown Univ, Providence, RI 02912 USA
[2] Brown Univ, Dept Math, Lefschetz Ctr Dynam Syst, Providence, RI 02912 USA
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2023年 / 76卷 / 05期
基金：
美国国家科学基金会;
关键词：
SMALL PERIODIC-WAVES; EQUATIONS; STABILITY;
D O I：
10.1002/cpa.22073
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is proven that small-amplitude steady periodic water waves with infinite depth are unstable with respect to long-wave perturbations. This modulational instability was first observed more than half a century ago by Benjamin and Feir. It has been proven rigorously only in the case of finite depth. We provide a completely different and self-contained approach to prove the spectral modulational instability for water waves in both the finite and infinite depth cases. (c) 2022 Courant Institute of Mathematics and Wiley Periodicals LLC.
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页码：1035 / 1084
页数：50
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