Abstract
In this paper, we study the steady and purely azimuthal flow model representing the Antarctic Circumpolar Current, which is described as a semi-linear elliptic equation. By means of the Mercator projection, the mathematical model is transferred into a second order elliptic equation. We give sufficient conditions to guarantee the existence of solutions for this second elliptic equation with two forms of nonlinear ocean vorticity term.
Citation
Michal Fečkan. JinRong Wang. Wenlin Zhang. "Existence of solutions for nonlinear elliptic equations modeling the steady flow of the antarctic circumpolar current." Differential Integral Equations 35 (5/6) 277 - 298, May/June 2022. https://doi.org/10.57262/die035-0506-277
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