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Title: | Coupled Ostrovsky equations for internal waves in a shear flow |
Authors: | Alias, A. Grimshaw, Roger H.J. Khusnutdinova, Karima R. |
Keywords: | Internal waves Rotating ocean Coupled Ostrovsky equations Strong inter-actions Shear flow Resonance |
Issue Date: | 2014 |
Publisher: | © American Institute of Physics |
Citation: | ALIAS, A., GRIMSHAW, R.H.J. and KHUSNUTDINOVA, K.R., 2014. Coupled Ostrovsky equations for internal waves in a shear flow. Physics of Fluids, 26, 126603. |
Abstract: | In the context of fluid flows, the coupled Ostrovsky equations arise when two distinct
linear long wave modes have nearly coincident phase speeds in the presence of background rotation. In this paper, nonlinear waves in a stratified fluid in the presence of shear flow are investigated both analytically, using techniques from asymptotic perturbation theory, and through numerical simulations. The dispersion relation of the system, based on a three-layer model of a stratified shear flow, reveals various dynamical behaviours, including the existence of unsteady and steady envelope wave packets. C 2014 AIP Publishing LLC. |
Description: | Reprinted with permission from ALIAS, A., GRIMSHAW, R.H.J. and KHUSNUTDINOVA, K.R., 2014. Coupled Ostrovsky equations for internal waves in a shear flow. Physics of Fluids, 26, 126603.. Copyright 2014, American Institute of Physics. |
Version: | Published |
DOI: | 10.1063/1.4903279 |
URI: | https://dspace.lboro.ac.uk/2134/20161 |
Publisher Link: | http://dx.doi.org/10.1063/1.4903279 |
ISSN: | 1070-6631 |
Appears in Collections: | Published Articles (Maths)
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