A nonlinear two-point boundary-value problem in geophysics

Kateryna Marynets*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

22 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)287-295
Number of pages9
JournalMonatshefte fur Mathematik
Issue number2
Publication statusPublished - 4 Feb 2019
Externally publishedYes


  • Nonlinear boundary-value problem
  • Ocean gyre
  • Second order differential equations


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