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Variational problem for vortices attached to seamounts

โœ Scribed by Jonas Nycander; Behrouz Emamizadeh

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
128 KB
Volume
55
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

The existence of an energy maximizer relative to a class of rearrangements of a given function is proved. The maximizers are stationary and stable solutions of the two-dimensional barotropic vorticity equation, governing the evolution of geophysical ow over a surface of variable height. The theorem proved implies the existence of a family of stable vortices with anticyclonic potential vorticity over a seamount, and a similar family of vortices with cyclonic potential vorticity over a localized depression.

๐Ÿ“œ SIMILAR VOLUMES

A stream-functionโ€“vorticity variational
A stream-functionโ€“vorticity variational formulation for the exterior Stokes problem in weighted Sobolev spaces
โœ V. Girault; J. Giroire; A. Sequeira ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 822 KB

## Abstract In this paper we derive a mixed variational formulation for the exterior Stokes problem in terms of the vorticity and stream function, or the vector potential in three dimensions. The main steps are the construction of the stream function (or vector potential) and the proof of the Babuลก