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.
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页码：800 / 806
页数：7
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