Instability of internal equatorial water waves

David Henry; Hung Chu Hsu

doi:10.1016/j.jde.2014.08.019

Instability of internal equatorial water waves

David Henry
, Hung Chu Hsu

School of Mathematical Sciences

National Cheng Kung University

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

Abstract

In the following paper we present criteria for the hydrodynamical instability of internal equatorial water waves. We show, by way of the short-wavelength perturbation approach, that certain geophysical waves propagating above the equatorial thermocline are linearly unstable when the wave steepness exceeds a given threshold.

Original language	English
Pages (from-to)	1015-1024
Number of pages	10
Journal	Journal of Differential Equations
Volume	258
Issue number	4
DOIs	https://doi.org/10.1016/j.jde.2014.08.019
Publication status	Published - 15 Feb 2015

Keywords

Currents
Geophysical flows
Instability
Internal waves
Primary
Secondary
Thermocline

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10.1016/j.jde.2014.08.019

https://hdl.handle.net/10468/12163Licence: CC BY

Cite this

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title = "Instability of internal equatorial water waves",

abstract = "In the following paper we present criteria for the hydrodynamical instability of internal equatorial water waves. We show, by way of the short-wavelength perturbation approach, that certain geophysical waves propagating above the equatorial thermocline are linearly unstable when the wave steepness exceeds a given threshold.",

keywords = "Currents, Geophysical flows, Instability, Internal waves, Primary, Secondary, Thermocline",

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

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

year = "2015",

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doi = "10.1016/j.jde.2014.08.019",

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T1 - Instability of internal equatorial water waves

AU - Henry, David

AU - Hsu, Hung Chu

PY - 2015/2/15

Y1 - 2015/2/15

N2 - In the following paper we present criteria for the hydrodynamical instability of internal equatorial water waves. We show, by way of the short-wavelength perturbation approach, that certain geophysical waves propagating above the equatorial thermocline are linearly unstable when the wave steepness exceeds a given threshold.

AB - In the following paper we present criteria for the hydrodynamical instability of internal equatorial water waves. We show, by way of the short-wavelength perturbation approach, that certain geophysical waves propagating above the equatorial thermocline are linearly unstable when the wave steepness exceeds a given threshold.

KW - Currents

KW - Geophysical flows

KW - Instability

KW - Internal waves

KW - Primary

KW - Secondary

KW - Thermocline

UR - https://www.scopus.com/pages/publications/84920848684

U2 - 10.1016/j.jde.2014.08.019

DO - 10.1016/j.jde.2014.08.019

M3 - Article

AN - SCOPUS:84920848684

SN - 0022-0396

VL - 258

SP - 1015

EP - 1024

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 4

ER -

Instability of internal equatorial water waves

Abstract

Keywords

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