Proof of Modulational Instability of Stokes Waves in Deep Water

被引：13
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.
引用
收藏
页码：1035 / 1084
页数：50
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