| 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 |
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| 引用本文： | 张瑰,项杰,李东辉.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[J].应用数学和力学(英文版),2002,23(1). |
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| 作者姓名： | 张瑰 项杰 李东辉 |
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| 作者单位： | 1.Department of Mathematics and Physics，Institute of Science，University of Science and Technology，P.L.A，Nanjing 211101，P R China; 2.Department of Meteorology，P.O.Box 003，Nanjing 211101，P R China; 3.Instit |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＥｖｅｒｓｉｎｃｅＳｈｅｐｈｅｒｄｈａｓｓｕｇｇｅｓｔｅｄａｎｏｖｅｌｍｅｔｈｏｄｔｏｓｔｕｄｙｎｏｎｌｉｎｅａｒｓａｔｕｒａｔｉｏｎｏｆｂａｒｏｔｒｏｐｉｃａｎｄｂａｒｏｃｌｉｎｉｃｉｎｓｔａｂｉｌｉｔｙ1- 3],ｍａｎｙａｕｔｈｏｒｓｈａｖｅｍａｄｅｆｕｒｔｈｅｒｒｅｓｅａｒｃｈｏｎｔｈｅｐｒｏｂｌｅｍ .Ｓｈｅｐｈｅｒｄ’ｓｍｅｔｈｏｄｉｓａｓｆｏｌｌｏｗｓ:Ｆｉｒｓｔ,ｃｈｏｏｓｅａｃｌａｓｓｏｆｓｔａｂｌｅｂａｓｉｃｆｌｏｗｓ;ｔｈｅｎ ,ｄｅｃｏｍｐｏｓｅｔｈｅｄｉｓｔ…
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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 |
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| ZHANG Gui,XIANG Jie,LI Dong_hui.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[J].Applied Mathematics and Mechanics(English Edition),2002,23(1). |
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| Authors: | ZHANG Gui XIANG Jie LI Dong_hui |
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| Abstract: | 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. |
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| Keywords: | nonlinear saturation baroclinic instability generalized Phillips model |
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