Euler equation on a rotating surface

被引:11
|
作者
Taylor, Michael [1 ]
机构
[1] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA
基金
美国国家科学基金会;
关键词
Euler equation; Coriolis force; Vorticity; Stability; FLOWS; STABILITY; SPHERE;
D O I
10.1016/j.jfa.2016.02.023
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study 2D Euler equations on a rotating surface, subject to the effect of the Coriolis force, with an emphasis on surfaces of revolution. We bring in conservation laws that yield long time estimates on solutions to the Euler equation, and examine ways in which the solutions behave like zonal fields, building on previous works that have examined how such 2D Euler equations can account for the observed band structure of rapidly rotating planets. Specific results include both an analysis of time averages of solutions and a study of stability of stationary zonal fields. The latter study includes both analytical and numerical work. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:3884 / 3945
页数:62
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