NONLINEAR SATURATION OF BAROCLINIC INSTABILITY IN THE GENERALIZED PHILLIPS MODEL

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NONLINEAR SATURATION OF BAROCLINIC INSTABILITY IN THE GENERALIZED PHILLIPS MODEL(Ⅰ)--THE UPPER BOUND ON THE EVOLUTION OF DISTURBANCE TO THE NONLINEARLY UNSTABLE BASIC FLOW

On the basis of the nonlinear stability theorem in the context of Arnol's second theorem for the generalized Phillips model, nonlinear saturation of baroclinic instability in the generalized Phillips model is investigated. By choosing appropriate artificial stable basic flows, the upper bounds on the disturbance energy and potential enstrophy to the nonlinearly unstable basic flow in the generalized Phillips model are obtained, which are analytic completely and without the limitation of infinitesimal initial disturbance.水利论文U _[!Bc8K-q2FVd

作 者: 张瑰 项杰 李东辉  
作者单位:张瑰(Department of Mathematics and Physics, Institute of Science, University of Science and Technology, P.L. A, Nanjing 211101, P R China)
x5lX3}t+S3Z0项杰(Department of Meteorology, P.O. Box 003, Nanjing 211101, P R China)水利论文"}2k v%WsS |
李东辉(Institute of Meteorology, University of Science and Technology,P.L.A, Nanjing211101, PR China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2002 23(1) 
分类号:P433 O351 
关键词:nonlinear saturation   baroclinic instability   generalized Phillips model  
机标关键词:GENERALIZED PHILLIPS MODELBAROCLINIC INSTABILITYBASIC FLOWgeneralized Phillips modelbaroclinic instabilitynonlinear stabilityinitial disturbancebasic flow 
基金项目: 
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