Nonlinear Differential Equations Modeling the Antarctic Circumpolar Current

• Published in: Journal of Mathematical Fluid Mechanics
• Main Authors: Chu, Jifeng, Marynets, Kateryna
• Other Authors: national natural science foundation of china
• Format: Article in Journal/Newspaper
• Language: English
• Published: Springer Science and Business Media LLC 2021
• Subjects: Applied Mathematics; Computational Mathematics; Condensed Matter Physics; Mathematical Physics; Antarctic; The Antarctic; Antarc*
• Online Access: http://dx.doi.org/10.1007/s00021-021-00618-7; https://link.springer.com/content/pdf/10.1007/s00021-021-00618-7.pdf; https://link.springer.com/article/10.1007/s00021-021-00618-7/fulltext.html

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.