On the modeling of the flow of the Antarctic Circumpolar Current

被引:12
|
作者
Marynets, Kateryna [1 ]
机构
[1] Uzhgorod Natl Univ, Dept Math, Uzhgorod, Ukraine
来源
MONATSHEFTE FUR MATHEMATIK | 2019年 / 188卷 / 03期
关键词
Geophysical flow; Elliptic equation; Maximum principle; PURELY AZIMUTHAL FLOW; STEADY;
D O I
10.1007/s00605-017-1147-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A recent model for the flow of the Antarctic Circumpolar Current, formulated in spherical coordinates as a Dirichlet boundary-value problem for a nonlinear elliptic partial differential equation, reduces for flows with no azimuthal variations to a two-point boundary-value problem for a second-order ordinary differential equation. We provide some general settings for which these apparently simpler solutions are the unique solutions, due to an inherent symmetry of the model.
引用
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页码:561 / 565
页数:5
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