Nonlinear differential equations modeling the Antarctic Circumpolar Current

Journal article (2021)

Authors

Jifeng Chu Shanghai Normal University
K. Marynets Mathematical Physics - EEMCS
Research Group
Mathematical Physics (EEMCS) (TU Delft)
Copyright: © 2021 Jifeng Chu, K. Marynets
DOI: https://doi.org/10.1007/s00021-021-00618-7
Existence Eigenvalues Boundary-value problem Geophysical flow
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Published Date

2021

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Mathematical Physics

Abstract

The aim of this paper is to study one class of nonlinear differential equations, which model the Antarctic circumpolar current. We prove the existence results for such equations related to the geophysical relevant boundary conditions. First, based on the weighted eigenvalues and the theory of topological degree, we study the semilinear case. Secondly, the existence results for the sublinear and superlinear cases are proved by fixed point theorems.