Instability of equatorial water waves in the $f-$plane

David Henry; Hung-Chu Hsu

doi:10.3934/dcds.2015.35.909

Article Contents

2015, Volume 35, Issue 3: 909-916. Doi: 10.3934/dcds.2015.35.909

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Instability of equatorial water waves in the $f-$plane

David Henry^1, and
Hung-Chu Hsu^2,

1.
School of Mathematical Sciences, University College Cork, Cork
2.
Tainan Hydraulics Laboratory, National Cheng Kung Univ, Tainan 701

Received: March 2014

Revised: April 2014

Published: March 2015

Abstract / Introduction Related Papers Cited by

Abstract

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

Keywords:

Mathematics Subject Classification: Primary: 35B15; Secondary: 76B15, 76B47, 76U05.

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