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...
Published in: | Journal of Mathematical Fluid Mechanics |
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Main Authors: | , |
Other Authors: | |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Springer Science and Business Media LLC
2021
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Subjects: | |
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 |
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. |
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