Existence and uniqueness results for modeling jet flow of the antarctic circumpolar current

Jin Rong Wang; Michal Fečkan; Qian Wen; Donal O’Regan

doi:10.1007/s00605-020-01493-6

Existence and uniqueness results for modeling jet flow of the antarctic circumpolar current

Jin Rong Wang
, Michal Fečkan
, Qian Wen
, Donal O’Regan

Mathematics

Guizhou University
Qufu Normal University
Comenius University in Bratislava
Slovak Academy of Sciences

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

13 Citations (Scopus)

Abstract

In this paper we are concerned with the analysis of a mathematical model, a two point boundary value problem for a second-order differential equation, that is used to deal with the jet flow of the antarctic circumpolar current. We present some new existence and uniqueness results when the vorticity function satisfies either a Lipschitz condition or is continuous.

Original language	English
Pages (from-to)	601-621
Number of pages	21
Journal	Monatshefte fur Mathematik
Volume	194
Issue number	3
DOIs	https://doi.org/10.1007/s00605-020-01493-6
Publication status	Published - Mar 2021

Keywords

Elliptic equation
Existence and uniquness
Fixed point theorem
Second-order boundary value problem

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10.1007/s00605-020-01493-6

Cite this

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abstract = "In this paper we are concerned with the analysis of a mathematical model, a two point boundary value problem for a second-order differential equation, that is used to deal with the jet flow of the antarctic circumpolar current. We present some new existence and uniqueness results when the vorticity function satisfies either a Lipschitz condition or is continuous.",

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AU - Wen, Qian

AU - O’Regan, Donal

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N2 - In this paper we are concerned with the analysis of a mathematical model, a two point boundary value problem for a second-order differential equation, that is used to deal with the jet flow of the antarctic circumpolar current. We present some new existence and uniqueness results when the vorticity function satisfies either a Lipschitz condition or is continuous.

AB - In this paper we are concerned with the analysis of a mathematical model, a two point boundary value problem for a second-order differential equation, that is used to deal with the jet flow of the antarctic circumpolar current. We present some new existence and uniqueness results when the vorticity function satisfies either a Lipschitz condition or is continuous.

KW - Elliptic equation

KW - Existence and uniquness

KW - Fixed point theorem

KW - Second-order boundary value problem

UR - https://www.scopus.com/pages/publications/85098512533

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Existence and uniqueness results for modeling jet flow of the antarctic circumpolar current

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Keywords

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