Instability of equatorial edge waves in the background flow

Fan, Lili; Gao, Hongjun

doi:10.1090/proc/13308

Instability of equatorial edge waves in the background flow
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by Lili Fan and Hongjun Gao

Proc. Amer. Math. Soc. 145 (2017), 765-778

DOI: https://doi.org/10.1090/proc/13308

Published electronically: October 20, 2016

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Abstract:

In this paper, we first present an explicit exact solution to the edge wave problem in stratified geophysical flows with an underlying longshore current. Then we analyze the short-wavelength perturbation approach for barotropic incompressible fluids. Finally, we prove, by applying this method to geophysical equatorial edge waves in the background flow, that these waves are unstable when their steepness exceeds a specific threshold.

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