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

被引：3

作者：

Ding, Qixing ^{[1
]}

Liao, Fang-fang ^{[1
]}

Wang, Sulei ^{[1
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai, Peoples R China

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2024年 / 203卷 / 04期

关键词：

Stratified arctic gyres; Existence; Uniqueness; Stability; WATER-WAVES; DIFFERENTIAL-EQUATION; STEADY; VORTICES; MODEL; FLOW;

D O I：

10.1007/s10231-023-01411-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1513 / 1527

页数：15

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