Exact, purely azimuthal stratified equatorial flows in cylindrical coordinates
Loading...
Files
Accepted version
Date
2018-12-05
Authors
Henry, David
Martin, Calin I.
Journal Title
Journal ISSN
Volume Title
Publisher
International Press of Boston, Inc.
Published Version
Abstract
This paper is concerned with the derivation of an exact solution to the governing equations for geophysical fluid dynamics expressed in terms of cylindrical coordinates. It is demonstrated, by way of a functional analytic approach, that there is a well-defined relationship between the imposed pressure at the free-surface and the resulting distortion of the surface, and it is established that this relationship exhibits the expected monotonicity properties. This exact solution for stratified fluid flow is then subjected to a shortwavelength perturbation stability analysis.
Description
Keywords
Azimuthal flows , Variable (linear) density , Cylindrical coordinates , Coriolis force , Implicit function theorem
Citation
Henry, D. and Martin, C. I. (2018) 'Exact, purely azimuthal stratified equatorial flows in cylindrical coordinates', Dynamics Of Partial Differential Equations, 15, pp. 337-349. doi: 10.4310/DPDE.2018.v15.n4.a4
Collections
Copyright
© International Press of Boston, Inc.