Please use this identifier to cite or link to this item: http://ktisis.cut.ac.cy/handle/10488/1103
Title: Short-Wave Instability in a Three-Layer Stratified Shear Flow
Authors: Grimshaw, Roger 
Christodoulides, Paul 
Issue Date: 2001
Publisher: Oxford University Press
Source: The Quarterly Journal of Mechanics and Applied Mathematics 2001, Volume 54, Issue 3, pp. 375-388
Abstract: In inviscid fluid flows instability arises generically due to a resonance between two wave modes. Here, it is shown that the structure of the weakly nonlinear regime depends crucially on whether the modal structures coincide, or remain distinct, at the resonance point, where the wave phase speeds coincide. For short waves, the generic model is correspondingly either a nonlinear Klein–Gordon equation for the wave envelope, or a pair of coupled first-order envelope equations. A specific case, namely a three-layered stratified shear flow is examined to illustrate this, with a typical derivation.
URI: http://ktisis.cut.ac.cy/handle/10488/1103
ISSN: 1464-3855
0033-5614 (Print)
DOI: 10.1093/qjmam/54.3.375
Rights: © 2001 by Oxford University Press
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