4.4 Article

A nonlinear two-point boundary-value problem in geophysics

Journal

MONATSHEFTE FUR MATHEMATIK
Volume 188, Issue 2, Pages 287-295

Publisher

SPRINGER WIEN
DOI: 10.1007/s00605-017-1127-x

Keywords

Nonlinear boundary-value problem; Ocean gyre; Second order differential equations; 34B15; 86A05

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We study a recently derived model for gyres, equivalent to a a two-point boundary-value problem for ocean flows with no azimuthal variations. For a large class of oceanic vorticities we establish the existence of solutions using an approach based on the topological transversality theorem.

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