Instability criteria for some geophysical equatorial edge waves

Abstract

This paper presents the hydrodynamical stability of three-dimensional geophysical edge waves in the presence of an underlying longshore current. By implementing the short-wavelength perturbation approach, we show that the equatorial edge waves are linear unstable when the wave steepness exceeds a specific threshold.

Keywords:

• nonlinear edge wave
• geophysical waves
• stability

AMS Subject Classifications:

• 76B55
• 86A05
• 76E30

Acknowledgements

The author is grateful to the referees for several useful suggestions. The author acknowledges the support of the National Science Council of Taiwan through the International Wave Dynamics Research Center (NSC 103-2911-I-006-302).