Two-point boundary problem for modeling the jet flow of the Antarctic circumpolar current

Using a functional-analytic approach for two-point boundary value problems, for a large class of oceanic vorticities, we establish the existence of solutions to a model for the jet flows of the Antarctic circumpolar current with no azimuthal variations. In our approach we rely on the stereographic p...

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Bibliographic Details
Main Author: Kateryna Marynets
Format: Article in Journal/Newspaper
Language:English
Published: Texas State University 2018
Subjects:
Online Access:https://doaj.org/article/8c8d996ab0bb42b7b512851c5fa4031c
Description
Summary:Using a functional-analytic approach for two-point boundary value problems, for a large class of oceanic vorticities, we establish the existence of solutions to a model for the jet flows of the Antarctic circumpolar current with no azimuthal variations. In our approach we rely on the stereographic projection to pass from spherical to planar coordinates.