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
Published in:Electronic journal of differential equations 2018-02, Vol.2018 (56), p.1-12
Main Author: Kateryna Marynets
Format: Article
Language:English
Subjects:
boundary-value problem
Geophysical flow
vorticity
Online Access:Get full text
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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.
ISSN:1072-6691