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Stuart-type vortices on a rotating sphere

Published online by Cambridge University Press:  28 February 2019

A. Constantin Open the ORCID record for A. Constantin [Opens in a new window]  and
V. S. Krishnamurthy
A. Constantin*
Affiliation:
Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria
V. S. Krishnamurthy
Affiliation:
Erwin Schrödinger International Institute for Mathematics and Physics, Boltzmanngasse 9, 1090 Vienna, Austria
*
†Email address for correspondence: adrian.constantin@univie.ac.at
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Abstract

Stuart vortices are among the few known smooth explicit solutions of the planar Euler equations with a nonlinear vorticity, and they have a counterpart for inviscid flow on the surface of a fixed sphere. By means of a perturbative approach we adapt the method used to investigate Stuart vortices on a fixed sphere to provide insight into some large-scale shallow-water flows on a rotating sphere that model the dynamics of ocean gyres.

JFM classification

Geophysical and Geological Flows: Shallow water flows Vortex Flows: Vortex dynamics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 865 , 25 April 2019 , pp. 1072 - 1084
Copyright
© 2019 Cambridge University Press 

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