On the modeling of the flow of the Antarctic Circumpolar Current

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6 Citations (Scopus)


A recent model for the flow of the Antarctic Circumpolar Current, formulated in spherical coordinates as a Dirichlet boundary-value problem for a nonlinear elliptic partial differential equation, reduces for flows with no azimuthal variations to a two-point boundary-value problem for a second-order ordinary differential equation. We provide some general settings for which these apparently simpler solutions are the unique solutions, due to an inherent symmetry of the model.

Original languageEnglish
Pages (from-to)561-565
Number of pages5
JournalMonatshefte fur Mathematik
Issue number3
Publication statusPublished - 11 Mar 2019
Externally publishedYes


  • Elliptic equation
  • Geophysical flow
  • Maximum principle


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