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A nonlinear two-point boundary-value problem in geophysics

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Abstract

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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Authors and Affiliations

  1. Department of Mathematics, Uzhhorod National University, Uzhhorod, Ukraine

    Kateryna Marynets

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  1. Kateryna Marynets
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Correspondence to Kateryna Marynets.

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Communicated by A. Constantin.

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Marynets, K. A nonlinear two-point boundary-value problem in geophysics. Monatsh Math 188, 287–295 (2019). https://doi.org/10.1007/s00605-017-1127-x

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  • DOI: https://doi.org/10.1007/s00605-017-1127-x

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