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

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...

Full description

Bibliographic Details
Published in:Differential and Integral Equations
Main Authors: Chu, Jifeng (author), Marynets, K. (author), Wang, Z. (author)
Format: Article in Journal/Newspaper
Language:English
Published: 2023
Subjects:
Online Access:http://resolver.tudelft.nl/uuid:e99183f7-46f4-40a8-b2d0-7884c60afa6b
https://doi.org/10.57262/die036-0708-537
Description
Summary: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. 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. Mathematical Physics Applied Mechanics