Existence, uniqueness and stability for a nonlinear problem arising from stratified arctic gyres

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2023-12-12 DOI:10.1007/s10231-023-01411-1

Qixing Ding, Fang-fang Liao, Sulei Wang

引用次数: 0

Abstract

In this paper, we derive a nonlinear model for stratified arctic gyres, and prove several results on the existence, uniqueness and stability of solutions to such a model, by assuming suitable conditions for the vorticity function and the density function. The approach consists of deriving a suitable integral formulation for the problem and using fixed-point techniques.

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分层北极涡旋非线性问题的存在性、唯一性和稳定性

本文通过假设涡度函数和密度函数的适当条件，推导出北极分层涡旋的非线性模型，并证明了该模型解的存在性、唯一性和稳定性的若干结果。该方法包括为问题导出一个合适的积分公式并使用定点技术。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.