This paper proposes a nonlocal formulation regarding the modeling of Antarctic Circumpolar Current by introducing flow functions to encode horizontal flow components without considering vertical motion. Using topological degree, zero exponent theory and fixed point technique, we show the existence of positive solutions to nonlocal boundary value problems with nonlinear vorticity.

中文翻译：

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关于地球物理流体流动的非局部边值问题

本文通过引入流函数来对水平流分量进行编码，而不考虑垂直运动，提出了一种关于南极外接极电流建模的非局部公式。使用拓扑度，零指数理论和不动点技术，我们证明了具有非线性涡旋的非局部边值问题的正解的存在。