Small-Amplitude Finite-Depth Stokes Waves are Transversally Unstable

IF 2.6 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2025-09-01 DOI:10.1007/s00220-025-05428-w

Ziang Jiao, L. Miguel Rodrigues, Changzhen Sun, Zhao Yang

引用次数: 0

Abstract

We prove that all irrotational planar periodic traveling waves of sufficiently small-amplitude are spectrally unstable as solutions to three-dimensional inviscid finite-depth gravity water-waves equations.

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小振幅有限深度斯托克斯波是横向不稳定的

作为三维无粘有限深度重力水波方程的解，证明了所有振幅足够小的无旋转平面周期行波都是谱不稳定的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.