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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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