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

Jifeng Chu; Kateryna Marynets; Zihao Wang

doi:10.57262/die036-0708-537

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

Jifeng Chu, Kateryna Marynets, Zihao Wang

Research output: Contribution to journal › Article › Scientific › peer-review

2 Citations (Scopus)

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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.

Original language	English
Pages (from-to)	537-558
Number of pages	22
Journal	Differential and Integral Equations
Volume	36
Issue number	7-8
DOIs	https://doi.org/10.57262/die036-0708-537
Publication status	Published - 2023

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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.

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

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