Study of the Antarctic Circumpolar Current via the Shallow Water Large Scale Modelling

Marynets, K.

Study of the Antarctic Circumpolar Current via the Shallow Water Large Scale Modelling

Conference paper (2022)

Authors

K. Marynets University of Vienna

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Uniqueness Geophysical Flow Global Existence Nonlinear Boundary-Value Problem Positive-Definite Function

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Published Date

2022

Language

English

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Abstract

This paper proposes a modelling of the Antarctic Circumpolar Current (ACC) by means of a two-point boundary value problem. As the major means of exchange of water between the great ocean basins (Atlantic, Pacific and Indian), the ACC plays a highly important role in the global climate. Despite its importance, it remains one of the most poorly understood components of global ocean circulation. We present some recent results on the existence and uniqueness of solutions of a two-point nonlinear boundary value problem that arises in the modeling of the flow of the (ACC) (see discussions in [4-9]).