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General results on zonation in rotating systems with a β-effect and the electromagnetic force

Cheng, Bin and Mahalov, Alex (2019) General results on zonation in rotating systems with a β-effect and the electromagnetic force In: Zonal Jets: Phenomenology, Genesis, and Physics. Cambridge University Press, Cambridge, pp. 209-219. ISBN 9781107043886

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Time averages are common observables in analysis of experimental data and numerical simulations of physical systems. We will investigate, from the angle of partial differential equation analysis, some oscillatory geophysical fluid dynamics in three dimensions: Navier–Stokes equations in a fast-rotating, spherical shell, and magnetohydrodynamics subject to strong Coriolis and Lorentz forces. Upon averaging their oscillatory solutions in time, interesting patterns such as zonal flows can emerge. More rigorously, we will prove that, when the restoring forces are strong enough, time-averaged solutions stay close to the null spaces of the wave operators, whereas the solutions themselves can be arbitrarily far away from these subspaces.

Item Type: Book Section
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Mahalov, Alex
Editors :
Galperin, Boris
Read, Peter L.
Date : 28 February 2019
DOI : 10.1017/9781107358225.013
Copyright Disclaimer : © The Authors 2019. Published by Cambridge University Press.
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Additional Information : In recent decades, great progress has been made in our understanding of zonal jets across many subjects - atmospheric science, oceanography, planetary science, geophysical fluid dynamics, plasma physics, magnetohydrodynamics, turbulence theory - but communication between researchers from different fields has been weak or non-existent. Even the terminology in different fields may be so disparate that researchers working on similar problems do not understand each other. This comprehensive, multidisciplinary volume will break cross-disciplinary barriers and aid the advancement of the subject. It presents a state-of-the-art summary of all relevant branches of the physics of zonal jets, from the leading experts. The phenomena and concepts are introduced at a level accessible to beginning graduate students and researchers from different fields. The book also includes a very extensive bibliography.
Depositing User : Clive Harris
Date Deposited : 22 Jan 2019 08:56
Last Modified : 29 Mar 2019 09:03

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