# American Institute of Mathematical Sciences

May  2015, 35(5): 2053-2066. doi: 10.3934/dcds.2015.35.2053

## Short-wavelength instabilities of edge waves in stratified water

 1 Simion Stoilow Institute of Mathematics of the Romanian Academy, Research Unit No. 6, P.O. Box 1-764, RO-014700 Bucharest, Romania

Received  June 2014 Revised  July 2014 Published  December 2014

In this paper we make a detailed analysis of the short-wavelength instability method for barotropic incompressible fluids. We apply this method to edge waves in stratified water. These waves are unstable to short-wavelength perturbations if their steepness exceeds a specific threshold.
Citation: Delia Ionescu-Kruse. Short-wavelength instabilities of edge waves in stratified water. Discrete & Continuous Dynamical Systems, 2015, 35 (5) : 2053-2066. doi: 10.3934/dcds.2015.35.2053
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