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Long wave instability in a three-layer stratified shear flow

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preprint
posted on 2006-02-06, 16:34 authored by Roger Grimshaw, Yuri Skyrnnikov
In inviscid fluid flows instability can occur due to a resonance between two wave modes. For the case when the modes remain distinct at the critical point where the wave phase speeds coincide, then in the weakly nonlinear, long wave limit there is an expectation that the generic outcome is a model consisting of two coupled Korteweg-deVries equa- tions. This situation is examined for a certain three-layer stratified shear flow.

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  • Science

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  • Mathematical Sciences

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188125 bytes

Publication date

2000

Notes

This is a pre-print. The definitive version: GRIMSHAW, R.H.J. and SKYRNNIKOV, S., 2002. Long-wave instability in a three-layer stratified shear flow. Studies in Applied Mathematics, 108(1), pp. 77-88.

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  • en

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