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

共 50 条

[21] Hamilton's principle for nonholonomic systems.
Hamel, G
MATHEMATISCHE ANNALEN, 1935, 111 : 94 - 97
[22] Hamilton’s principle as inequality for inelastic bodies
Q. Yang
Q. C. Lv
Y. R. Liu
Continuum Mechanics and Thermodynamics, 2017, 29 : 747 - 756
[23] HAMILTON'S PRINCIPLE AND ELECTRIC CIRCUITS THEORY
Mayer, D.
ADVANCES IN ELECTRICAL AND ELECTRONIC ENGINEERING, 2006, 5 (01) : 185 - 189
[24] Some Further Remarks on Hamilton's Principle
Udwadia, Firdaus E.
Leitmann, George
Cho, Hancheol
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2011, 78 (01): : 0110141 - 0110144
[25] Hamilton's principle as inequality for inelastic bodies
Yang, Q.
Lv, Q. C.
Liu, Y. R.
CONTINUUM MECHANICS AND THERMODYNAMICS, 2017, 29 (03) : 747 - 756
[26] Generalized Hamilton's principle with fractional derivatives
Atanackovic, T. M.
Konjik, S.
Oparnica, Lj
Pilipovic, S.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (25)
[27] Hamilton's principle and the field equations of radiation
Meksyn, D
PHILOSOPHICAL MAGAZINE, 1930, 9 (58): : 568 - 577
[28] Hamilton's principle based on thermomass theory
Song Bai
Wu Jing
Guo Zeng-Yuan
ACTA PHYSICA SINICA, 2010, 59 (10) : 7129 - 7134
[29] Adiabatic invariant in light of Hamilton's principle
Chen, Yih-Yuh
CHINESE JOURNAL OF PHYSICS, 2020, 67 : 253 - 264
[30] Hamilton's Principle for Circuits with Dissipative Elements
Biolek, Zdenek
Biolek, Dalibor
Biolkova, Viera
COMPLEXITY, 2019, 2019

← 1 2 3 4 5 →