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Existence and approximate solutions of a nonlinear model for the antarctic circumpolar current

Journal Article (2023)
Author(s)

Jifeng Chu (Shanghai Normal University)

Kateryna Marynets (TU Delft - Mathematical Physics, TU Delft - Delft Institute of Applied Mathematics)

Zihao Wang (TU Delft - Applied Mechanics, Shanghai Normal University)

Research Group
Mathematical Physics
Copyright
© 2023 Jifeng Chu, K. Marynets, Z. Wang
DOI related publication
https://doi.org/10.57262/die036-0708-537
More Info
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Publication Year
2023
Language
English
Copyright
© 2023 Jifeng Chu, K. Marynets, Z. Wang
Research Group
Mathematical Physics
Bibliographical Note
Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. @en
Issue number
7-8
Volume number
36
Pages (from-to)
537-558
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Abstract

We consider a nonlinear Neumann boundary value problem which is derived for the Antarctic Circumpolar Current. By the theory of topological degree, we prove the existence results for the problem with semilinear oceanic vorticity term. We also construct the approximate solutions for such a nonlinear model.

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