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广义Phillips模式非线性不稳定的饱和问题(Ⅱ)——扰动能量及位涡拟能的下界估计

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  在Arnol'd第二定理的范围内进一步讨论广义Phillips模式非线性不稳定的饱和问题。 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.
作者 张瑰 项杰
出处 《应用数学和力学》 CSCD 北大核心 2002年第11期1195-1202,共8页 Applied Mathematics and Mechanics
基金 国家自然科学基金资助项目(40075014) 解放军理工大学理学院青年科研经费资助项目
关键词 扰动能量 位涡拟能 下界估计 广义Phillips模式 非线性不稳定 饱和问题 基流 nonlinear saturation baroclinic instability generalized Phillips model basic flow
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  • 1Shepherd T G.Nonlinear saturation of baroclinic instability.Part-one: the two-layer model[J].Journal of the Atmospheric Sciences, 1988,Vo1.45(14) :2014-2025.
  • 2Shepherd T G.Nonlinear saturation of baroclinic insability.part-two: Continuousiy-statified fluid [J].Journalof the Atmospheric Sciences,1989,46(7):888-907.
  • 3Shepherd T G.Nonlinear saturation of baroclinic instability.Part-Three: bounds on tie energy[J].Jorrnal of the Atemospheric Sciences, 1993,Vol.50(16) :2697-2709.
  • 4ZENG Qing-cun.Variational principle of instability of atrnosphic motions[J].Adv Atmos Sci,1989,6(2): 137-172.
  • 5MU Mu.Nonlinear stability theorem of two-dimensional quasi-geostrophic motions geophys astroph[J].Fluid Dynamics, 1992,65:57-76.
  • 6Paret J, Vanneste J.Nonlinear saturation of haroclinic instability in a three-layer model[J].J Atmos Sci, 1996,53(20), 2905-2917.
  • 7Cho H R, Shepherd T G, Vladimirov V A.Application of the direct Liapunov method to the problem of symmetric stability in the atmosphere[J].J Atmos Sci, 1993 ,50(6): 822-334.
  • 8MU Mu, Shepherd T G, Swanson K.On nonlinear symmetric stablity and the nonlinear saturation of symmetric instability[J].J Atmos Sci, 1996,53(20) :2918-2923.
  • 9MU Mu, ZENG Qing-cun, Shepherd T G, et al.Nonlinear stability of multilayer quasi-geostrophic flow[J].J Fluid Mech, 1994,264:165-184.
  • 10张瑰.广义Phillips模式的非线性稳定性判据[J].空军气象学院学报,1999,20(2):133-143.

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