Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.14279/1665
Title: | Short-Wave Instability in a Three-Layer Stratified Shear Flow | Authors: | Grimshaw, Roger Christodoulides, Paul |
metadata.dc.contributor.other: | Χριστοδουλίδης, Παύλος | Major Field of Science: | Natural Sciences;Engineering and Technology | Field Category: | Electrical Engineering - Electronic Engineering - Information Engineering;Environmental Engineering | Keywords: | Wave Instability | Issue Date: | 1-Sep-2001 | Source: | The Quarterly Journal of Mechanics and Applied Mathematics 2001, vol. 54, no. 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: | https://hdl.handle.net/20.500.14279/1665 | ISSN: | 14643855 00335614 |
DOI: | 10.1093/qjmam/54.3.375 | Rights: | © 2001 by Oxford University Press | Type: | Article | Affiliation: | Monash University | Publication Type: | Peer Reviewed |
Appears in Collections: | Άρθρα/Articles |
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