Coupled Ostrovsky equations for internal waves in a shear flow

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 analytica...

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Bibliographic Details
Main Authors: A. Alias, Roger Grimshaw, Karima Khusnutdinova
Format: Default Article
Published: 2014
Subjects:
Other mathematical sciences not elsewhere classified
Internal waves
Rotating ocean
Coupled Ostrovsky equations
Strong inter-actions
Shear flow
Resonance
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/20161
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Summary: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.

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