Stability and instability analyses of the dissipative quasi-geostrophic equation


Chen, Zhi-Min and Price, W.G. (2008) Stability and instability analyses of the dissipative quasi-geostrophic equation. Nonlinearity, 21, (4), 765-782. (doi:10.1088/0951-7715/21/4/006).

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Description/Abstract

This study examines a spatial periodic fluid flow governed by the dissipative quasi-geostrophic equation

∂θ/∂t + u ∙ ∇θ + κ(−Δ)αθ = f

for 0 < α ≤ 1. The nonlinear stability and instability analysis focuses on the motion excited by a typical forcing in the study of quasi-geostrophic fluid motions.

Item Type: Article
ISSNs: 0951-7715 (print)
1361-6544 (electronic)
Subjects: Q Science > QA Mathematics
Divisions: University Structure - Pre August 2011 > School of Engineering Sciences > Fluid-Structure Interactions
ePrint ID: 51273
Date Deposited: 19 May 2008
Last Modified: 27 Mar 2014 18:34
URI: http://eprints.soton.ac.uk/id/eprint/51273

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