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
收藏
页码：1513 / 1527
页数：15
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