Hamilton’s principle for quasigeostrophic motion
作者:
Darryl D. Holm,
Vladimir Zeitlin,
期刊:
Physics of Fluids
(AIP Available online 1998)
卷期:
Volume 10,
issue 4
页码: 800-806
ISSN:1070-6631
年代: 1998
DOI:10.1063/1.869623
出版商: AIP
数据来源: AIP
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 thef-plane case or its prolongation in the&bgr;-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. ©1998 American Institute of Physics.
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