On the modeling of the flow of the Antarctic Circumpolar Current

Kateryna Marynets

doi:10.1007/s00605-017-1147-6

On the modeling of the flow of the Antarctic Circumpolar Current

Kateryna Marynets^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

12 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	561-565
Number of pages	5
Journal	Monatshefte fur Mathematik
Volume	188
Issue number	3
DOIs	https://doi.org/10.1007/s00605-017-1147-6
Publication status	Published - 11 Mar 2019
Externally published	Yes

Keywords

Elliptic equation
Geophysical flow
Maximum principle

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10.1007/s00605-017-1147-6

Cite this

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abstract = "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.",

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KW - Maximum principle

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On the modeling of the flow of the Antarctic Circumpolar Current

Abstract

Keywords

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