High-Frequency Instabilities of the Ostrovsky Equation

被引：1

作者：

Bhavna, Atul ^{[1
]}

Kumar, Atul ^{[1
]}

Pandey, Ashish Kumar ^{[1
]}

机构：

[1] IIIT, Dept Math, Delhi 110020, India

来源：

WATER WAVES | 2022年 / 4卷 / 01期

关键词：

WEAK ROTATION LIMIT; MODULATIONAL INSTABILITY; SOLITARY WAVES; PERIODIC-WAVES; WELL-POSEDNESS; STABILITY; EXISTENCE;

D O I：

10.1007/s42286-021-00054-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the spectral stability of small-amplitude periodic traveling waves of the Ostrovsky equation. We prove that these waves exhibit spectral instabilities arising from a collision of pair of non-zero eigenvalues on the imaginary axis when subjected to square-integrable perturbations on the whole real line. We also list all such collisions between pairs of eigenvalues on the imaginary axis and do a Krein signature analysis.

引用

页码：91 / 108

页数：18

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