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摘要:
A multilayer flow is a stratified fluid composed of a finite number of layers with densities homogeneous within one layer but different from each other.It is an intermediate system between the single-layer barotropic model and the continuously stratified baroclinic model.Since this system can simulate the baroclinic effect simply,it is widely used to study the large-scale dynamic process in atmosphere and ocean.The present paper is concerned with the linear stability of the multilayer quasi-geostrophic flow,and the associated linear stability criteria are established.Firstly,the nonlinear model is turned into the form of a Hamiltonian system,and a basic flow is defined.But it cannot be an extreme point of the Hamiltonian function since the system is an infinite-dimensional one.Therefore,it is necessary to reconstruct a new Hamiltonian function so that the basic flow becomes an extreme point of it.Secondly,the linearized equations of disturbances in the multilayer quasi-geostrophic flow are derived by introducing infinitesimal disturbances superposed on the basic flows.Finally,the properties of the linearized system are discussed,and the linear stability criteria in the sense of Liapunov are derived under two different conditions with respect to certain norms.
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篇名 Establishment of infinite dimensional Hamiltonian system of multilayer quasi-geostrophic flow & study on its linear stability
来源期刊 中国物理B(英文版) 学科
关键词 infinite dimensional Hamiltonian system multilayer quasi-geostrophic flow linear stability
年,卷(期) 2017,(11) 所属期刊栏目
研究方向 页码范围 300-309
页数 10页 分类号
字数 语种 英文
DOI 10.1088/1674-1056/26/11/114701
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infinite dimensional Hamiltonian system
multilayer quasi-geostrophic flow
linear stability
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中国物理B(英文版)
月刊
1674-1056
11-5639/O4
北京市中关村中国科学院物理研究所内
eng
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17050
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27962
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