Explicit two-dimensional solutions for the ocean flow in arctic gyres

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12 Scopus citations

Abstract

We investigate the ocean flow in an arctic gyre. For given linear or constant oceanic vorticites, we prove explicit solutions which depend on both the polar and the azimuthal angles in the spherical coordinates associated with a rotating Earth. This enables us to identify resonant modes.

Original languageEnglish (US)
Pages (from-to)429-440
Number of pages12
JournalMonatshefte fur Mathematik
Volume189
Issue number3
DOIs
StatePublished - Jul 1 2019
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics

Keywords

  • Geophysical flow
  • Mercator projection
  • Spherical coordinates

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