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.
Submitted December 19, 2017. Published February 28, 2018.
Math Subject Classifications: 34B15, 35J15, 37N10.
Key Words: Geophysical flow; boundary-value problem; vorticity.
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| Kateryna Marynets |
Department of Mathematics
Uzhhorod National University, Ukraine
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