Existence and approximate solutions of a nonlinear model for the Antarctic circumpolar current
Jifeng Chu, Kateryna Marynets, Zihao Wang · Differential and Integral Equations · 2023
We consider a nonlinear Neumann boundary value problem which is derived for the Antarctic Circumpolar Current. By the theory of topological degree, we prove the existence results for the problem with semilinear oceanic vorticity term. We also construct the approximate solutions for such a nonlinear model.