| NONLINEAR SATURATION OF BAROCLINIC INSTABILITY IN THE GENERALIZED PHILLIPS MODEL(Ⅱ)-THE LOWER BOUND ON THE DISTURBANCE ENERGY AND POTENTIAL ENSTROPHY TO THE NONLINEARLY UNSTABLE BASIC FLOW |
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| 摘 要： | On the basis of the nonlinear stability theorem in the context of Arnol’d’s second theorem for the generalized Phillips model,nonlinear saturation of baroclinic instability in the generalized Phillips model is investigatedThe lower bound on the disturbance energy and potential enstrophy to the nonlinearly unstable basic flow in the generalized Phillips model is presented,which indicates that there may exist an allocation between a nonlinearly unstable basic flow and a growing disturbance
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| 收稿时间： | 2001-11-29 |
Nonlinear saturation of baroclinic instability in the generalized Phillips model (II)—The lower bound on the disturbance energy and potential enstrophy to the nonlinearly unstable basic flow |
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| Zhang Gui,Xiang Jie. Nonlinear saturation of baroclinic instability in the generalized Phillips model (II)—The lower bound on the disturbance energy and potential enstrophy to the nonlinearly unstable basic flow[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(11): 1339-1347. DOI: 10.1007/BF02439465 |
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| Authors: | Zhang Gui Xiang Jie |
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| Affiliation: | (1) Department of Mathematics and Physics, Institute of Science, University of Science and Technology, P L A, 211101 Nanjing, P R China;(2) Department of Meteorology, P O Box 003, 211101 Nanjing, P R China |
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| Abstract: | On the basis of the nonlinear stability theorem in the context of Arnol' d' s second theorem for the generalized Phillips model, nonlinear saturation of baroclinic instability in the generalized Phillips model is investigated. The lower bound on the disturbance energy and potential enstrophy to the nonlinearly unstable basic flow in the generalized Phillips model is presented, which indicates that there may exist an allocation between a nonlinearly unstable basic flow and a growing disturbance. Foundation item: the National Natural Science Foundation of China (40075014) Biography: ZHANG Gui (1973-), Doctor |
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| Keywords: | nonlinear saturation baroclinic instability generalized Phillips model basic flow |
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