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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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