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Nonlinear differential equations modeling the Antarctic Circumpolar Current

Journal Article (2021)
Author(s)

Jifeng Chu (Shanghai Normal University)

K. Marynets (TU Delft - Mathematical Physics)

Research Group
Mathematical Physics
Copyright
© 2021 Jifeng Chu, K. Marynets
DOI related publication
https://doi.org/10.1007/s00021-021-00618-7
More Info
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Publication Year
2021
Language
English
Copyright
© 2021 Jifeng Chu, K. Marynets
Research Group
Mathematical Physics
Issue number
4
Volume number
23
Pages (from-to)
1-9
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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.