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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/765

Title: Models for instability in geophysical flows
Authors: Grimshaw, Roger H.J.
Gottwald, Georg A.
Issue Date: 2000
Abstract: The generation of instability in inviscid, non-diffusive geophysical flows is generically caused by a resonance between two wave modes. The weakly nonlinear unfolding of this situation is described in the long-wave regime, using a particular two-layer quasi-geostrophic model as an illustrative example. The outcome is a system of two coupled Korteweg-de Vries equations. This system contains a very rich solution set, consisting typically of solitary wave interactions. We will describe some numerical solutions of the coupled Korteweg-de Vries equations, supplemented by perturbation analyses. We also report on some preliminary analogous numerical simulations of the full two-layer quasi-geostrophic system.
Description: This is a pre-print.
URI: https://dspace.lboro.ac.uk/2134/765
Appears in Collections:Pre-prints (Maths)

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