Hamilton's principle for quasigeostrophic motion

被引：24

作者：

Holm, DD ^{[1
]}

Zeitlin, V

机构：

[1] Univ Calif Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[2] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

[3] Univ Paris 06, Meteorol Dynam Lab, F-75252 Paris, France

[4] Univ Cambridge, Isaac Newton Inst Math Sci, Cambridge CB2 1TN, England

来源：

PHYSICS OF FLUIDS | 1998年 / 10卷 / 04期

关键词：

D O I：

10.1063/1.869623

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We show that the equation of quasigeostrophic (QG) potential vorticity conservation in geophysical fluid dynamics follows from Hamilton's principle for stationary variations of an action for geodesic motion in the f-plane case or its prolongation in the beta-plane case. This implies a new momentum equation and an associated Kelvin circulation theorem for QG motion. We treat the barotropic and two-layer baroclinic cases, as well as the continuously stratified case. (C) 1998 American Institute of Physics.

引用

页码：800 / 806

页数：7

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