Conjugate points in Dμs (S2)

被引：4

作者：

Benn, J.

机构：

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2021年 / 170卷

关键词：

Euler equations; Diffeomorphism groups; Conjugate points; Rossby-Haurwitz waves; BAROTROPIC INSTABILITY; EXPONENTIAL MAP; STABILITY; WAVES; DIFFEOMORPHISMS; MOTION;

D O I：

10.1016/j.geomphys.2021.104369

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Rossby-Haurwitz waves on the sphere S-2 form a set of exact time-dependent solutions to the Euler equations of hydrodynamics and generate a family of non-stationary geodesics of the L-2 metric in the volume preserving diffeomorphism group of S-2. Restricting to a particular subset of Rossby-Haurwitz waves, this article shows that under certain conditions on the physical characteristics of the waves each corresponding geodesic contains conjugate points. In addition, a physical interpretation of conjugate points is given and links the result to the stability analysis of meteorological Rossby-Haurwitz waves. (C) 2021 Published by Elsevier B.V.

引用

页数：14

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[3]

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