Explicit solutions of atmospheric Ekman flows for some eddy viscosities in ellipsoidal coordinates

被引：0

作者：

Yang, Taoyu ^{[1
]}

Feckan, Michal ^{[2
,3
]}

Wang, JinRong ^{[1
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[2] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia

[3] Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia

来源：

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 20卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Ekman layer; Explicit solutions; Variable eddy viscosity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In ellipsoidal coordinates, we study the motion of the wind in the steady atmospheric Ekman layer for the height-dependent eddy viscosities in the form of some quadratic, fourth and rational power functions. We construct the explicit solutions for these forms of the eddy viscosities by using suitable boundary conditions. Furthermore, we write down a formula of the angle between the wind vector and the geostrophic wind vector at any height.

引用

页码：99 / 115

页数：17