On the existence of equatorial wind waves

David Henry; Anca Voichita Matioc

doi:10.1016/j.na.2014.01.018

On the existence of equatorial wind waves

David Henry
, Anca Voichita Matioc

School of Mathematical Sciences

Leibniz University Hannover

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

Abstract

In this paper we apply local bifurcation theory to prove the existence of steady, periodic, two-dimensional surface water waves in the equatorial region which have a general underlying vorticity distribution. Furthermore, we derive explicit dispersion relations for the flow in the case where the vorticity is constant.

Original language	English
Pages (from-to)	113-123
Number of pages	11
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	101
DOIs	https://doi.org/10.1016/j.na.2014.01.018
Publication status	Published - May 2014

Keywords

Existence
Free-boundary
General vorticity
Geophysical flow

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10.1016/j.na.2014.01.018

https://hdl.handle.net/10468/12156Licence: CC BY-NC-ND

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title = "On the existence of equatorial wind waves",

abstract = "In this paper we apply local bifurcation theory to prove the existence of steady, periodic, two-dimensional surface water waves in the equatorial region which have a general underlying vorticity distribution. Furthermore, we derive explicit dispersion relations for the flow in the case where the vorticity is constant.",

keywords = "Existence, Free-boundary, General vorticity, Geophysical flow",

author = "David Henry and Matioc, \{Anca Voichita\}",

year = "2014",

month = may,

doi = "10.1016/j.na.2014.01.018",

language = "English",

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T1 - On the existence of equatorial wind waves

AU - Henry, David

AU - Matioc, Anca Voichita

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AB - In this paper we apply local bifurcation theory to prove the existence of steady, periodic, two-dimensional surface water waves in the equatorial region which have a general underlying vorticity distribution. Furthermore, we derive explicit dispersion relations for the flow in the case where the vorticity is constant.

KW - Existence

KW - Free-boundary

KW - General vorticity

KW - Geophysical flow

UR - https://www.scopus.com/pages/publications/84894554909

U2 - 10.1016/j.na.2014.01.018

DO - 10.1016/j.na.2014.01.018

M3 - Article

AN - SCOPUS:84894554909

SN - 0362-546X

VL - 101

SP - 113

EP - 123

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

ER -

On the existence of equatorial wind waves

Abstract

Keywords

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