Hamilton’s principle for quasigeostrophic motion
Hamilton’s principle for quasigeostrophic motion
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汉密尔顿准地转运动原理
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
V. Zeitlin
中科院分区：
文献类型：
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作者：
Darryl D. Holm;V. Zeitlin
本文证明了地球物理流体动力学中的准地转位涡守恒方程在f平面情形下遵循测地运动作用量定常变分的汉密尔顿原理，在β平面情形下遵循其推广。这意味着一个新的动量方程和相关的开尔文环流定理QG运动。我们处理正压和两层斜压的情况下，以及连续层结的情况。
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 β-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.