Nonlinear Differential Equations Modeling the Antarctic Circumpolar Current

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...

Full description

Bibliographic Details
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
Description
Summary: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.

Similar Items