Nonlinear differential equations modeling the Antarctic Circumpolar Current

Jifeng Chu; Kateryna Marynets

doi:10.1007/s00021-021-00618-7

Nonlinear differential equations modeling the Antarctic Circumpolar Current

Jifeng Chu, Kateryna Marynets

Mathematical Physics

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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.

Original language	English
Article number	92
Pages (from-to)	1-9
Number of pages	9
Journal	Journal of Mathematical Fluid Mechanics
Volume	23
Issue number	4
DOIs	https://doi.org/10.1007/s00021-021-00618-7
Publication status	Published - 2021

Keywords

Boundary-value problem
Eigenvalues
Existence
Geophysical flow

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10.1007/s00021-021-00618-7

Chu-Marynets2021_Article_NonlinearDifferentialEquationsFinal published version, 359 KBLicence: CC BY

Cite this

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KW - Eigenvalues

KW - Existence

KW - Geophysical flow

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Nonlinear differential equations modeling the Antarctic Circumpolar Current

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Keywords

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