Atmospheric Ekman flows of the Northern Hemisphere with latitude and height in ellipsoidal coordinates

被引：1
|
作者：
Yang, Taoyu
Wang, JinRong [1 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 146卷
基金：
中国国家自然科学基金;
关键词：
Geophysical fluid flows; Ekman layer; Differential equation; Explicit solutions;
D O I：
10.1016/j.aml.2023.108823
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the atmospheric Ekman flows of the Northern Hemisphere related to latitude and height in ellipsoidal coordinates. Firstly, by using a suitable transformation, we convert the atmospheric Ekman equation into a second order elliptic partial differential equation. Further, we prove it is equivalent to a second order homogeneous ordinary differential equation with variable coefficients. Finally, we construct the explicit solution and give the laws of motion of the atmospheric Ekman flows.& COPY; 2023 Elsevier Ltd. All rights reserved.
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页数：7
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