| 层结切变流体非线性惯性重力内波的稳定性 |
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| 引用本文： | 刘式适,刘式达,卜玉康.层结切变流体非线性惯性重力内波的稳定性[J].气象学报,1984,42(1):24-34. |
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| 作者姓名： | 刘式适 刘式达 卜玉康 |
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| 作者单位： | 北京大学地球物理系
(刘式适，刘式达)，云南大学地球物理系(卜玉康) |
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| 摘 要： | 本文从层结切变流体的非线性惯性重力内波的方程组出发,设解为行波的形式并将非线性项在平衡点附近作Taylor展开,导得了两个变量的一阶自治动力系统的常微分方程组。应用常微分方程的稳定性理论,讨论了惯性重力内波的稳定性。分析指出:在考虑了速度垂直切变和非线性作用后,惯性重力内波的稳定性发生了变化,当LL_0时是稳定的结论只是在时才是正确的,当时,L_0~2<0和L>L_0成为不稳定的条件。 本文还讨论了某些条件下非线性惯性重力内波的解析解。
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| 收稿时间： | 1982/9/25 0:00:00 |
| 修稿时间： | 2/1/1983 12:00:00 AM |
THE STABILITY OF NONLINEAR INERTIO-INTERNAL GRAVITY WAVES FOR STRATIFIED SHEAR FLOW |
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| Liu Shikuo,Liu Shida and Bu Yukang.THE STABILITY OF NONLINEAR INERTIO-INTERNAL GRAVITY WAVES FOR STRATIFIED SHEAR FLOW[J].Acta Meteorologica Sinica,1984,42(1):24-34. |
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| Authors: | Liu Shikuo Liu Shida and Bu Yukang |
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| Institution: | Department of Geophysics, Peking University;Department of Geophysics, Peking University;Department of Geophysics, Yunnan University |
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| Abstract: | In this paper, starting from the equations of the nonlinear inertio-internal gravity waves in stratified shear fluid, and considering the flow about a class of the progressive waves, the autonomous dynamic systems of the first-order differential equations in two variables are derived. Using the qualitative theory of the differential equations, we analyze qualitatively the topological structure of the integral curves in the neighbourhood of the origin on a phase plane with Cartesian axes u, v.On the du/dz (the velocity shear), L2-L02(L is the horizontal scale, L0 is the Rossby radius of deformation) plane, the integral curves divide the plane into some domains of different stability. |
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