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arXiv · 2409.17013

Global-in-time existence, uniqueness and stability of solutions to a model of the Antarctic Circumpolar Current

Luigi Roberti·Eduard Stefanescu
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Abstract

We consider a model for the Antarctic Circumpolar Current in rotating spherical coordinates. After establishing global-in-time existence and uniqueness of classical solutions, we turn our attention to the issue of stability of a class of steady zonal solutions (i.e., time-independent solutions that vary only with latitude). By identifying suitable conserved quantities and combining them to construct a Lyapunov function, we prove a stability result.

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Luigi Roberti, Eduard Stefanescu. 2024-09-25. Global-in-time existence, uniqueness and stability of solutions to a model of the Antarctic Circumpolar Current. https://arxiv.org/abs/2409.17013

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