Nonlinear differential equations modeling the Antarctic Circumpolar Current
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 topolo...
| Published in: | Journal of Mathematical Fluid Mechanics |
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| Main Authors: | , |
| Format: | Article in Journal/Newspaper |
| Language: | English |
| Published: |
2021
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| Subjects: | |
| Online Access: | http://resolver.tudelft.nl/uuid:b10e329a-341b-42b0-8e52-d8b354a34972 https://doi.org/10.1007/s00021-021-00618-7 |
| Summary: | 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. Mathematical Physics |
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