Instability of equatorial water waves in the ∫-plane

David Henry; Hung Chu Hsu

doi:10.3934/dcds.2015.35.909

Instability of equatorial water waves in the ∫-plane

David Henry
, Hung Chu Hsu

School of Mathematical Sciences

National Cheng Kung University

Research output: Contribution to journal › Article › peer-review

Abstract

This paper addresses the hydrodynamical stability of nonlinear geophysical equatorial waves in the ∫-plane approximation. By implementing the short-wavelength perturbation approach, we show that certain westwardpropagating equatorial waves are linearly unstable when the wave steepness exceeds a specific threshold.

Original language	English
Pages (from-to)	909-916
Number of pages	8
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	35
Issue number	3
DOIs	https://doi.org/10.3934/dcds.2015.35.909
Publication status	Published - 1 Mar 2015

Keywords

Equatorial waves
Explicit solutions
Geophysical ows
Instability
∫-plane

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10.3934/dcds.2015.35.909

https://hdl.handle.net/10468/12161Licence: CC BY-NC-ND

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title = "Instability of equatorial water waves in the ∫-plane",

abstract = "This paper addresses the hydrodynamical stability of nonlinear geophysical equatorial waves in the ∫-plane approximation. By implementing the short-wavelength perturbation approach, we show that certain westwardpropagating equatorial waves are linearly unstable when the wave steepness exceeds a specific threshold.",

keywords = "Equatorial waves, Explicit solutions, Geophysical ows, Instability, ∫-plane",

author = "David Henry and Hsu, \{Hung Chu\}",

year = "2015",

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AB - This paper addresses the hydrodynamical stability of nonlinear geophysical equatorial waves in the ∫-plane approximation. By implementing the short-wavelength perturbation approach, we show that certain westwardpropagating equatorial waves are linearly unstable when the wave steepness exceeds a specific threshold.

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KW - Explicit solutions

KW - Geophysical ows

KW - Instability

KW - ∫-plane

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JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 3

ER -

Instability of equatorial water waves in the ∫-plane

Abstract

Keywords

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