| 非静力平衡大气非线性层结对称运动的稳定性和突变 |
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| 引用本文： | 罗德海,彭晓林.非静力平衡大气非线性层结对称运动的稳定性和突变[J].气象学报,1993,51(4):414-424. |
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| 作者姓名： | 罗德海 彭晓林 |
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| 作者单位： | 成都气象学院气象研究所 610041
(罗德海)，成都气象学院气象研究所 610041(彭晓林) |
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| 摘 要： | 在假定了环境地转风具有水平和垂直的线性切变的情况下,考虑大气层结的线性和非线性切变的作用,建立了一个非线性常微分方程组,然后构造了一个Hamilton函数,通过讨论Hamilton函数的凸凹性,得到了非线性层结对称运动的不稳定判据,同时讨论了非线性层结对称运动产生突变的条件。
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| 关 键 词： | 对称运动 稳定性 突变 判据 |
| 收稿时间： | 1990/9/21 0:00:00 |
| 修稿时间： | 1992/12/23 0:00:00 |
THE STABILITY AND CATASTROPHE OF NONLINEAR STRATIFICATION SYMMETRIC MOTION IN THE NONHYDROSTATIC BALANCE ATMOSPHERE |
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| Luo Dehai and Peng Xiaolin.THE STABILITY AND CATASTROPHE OF NONLINEAR STRATIFICATION SYMMETRIC MOTION IN THE NONHYDROSTATIC BALANCE ATMOSPHERE[J].Acta Meteorologica Sinica,1993,51(4):414-424. |
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| Authors: | Luo Dehai and Peng Xiaolin |
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| Affiliation: | Chengdu Institute of Meteorology, 610041;Chengdu Institute of Meteorology, 610041 |
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| Abstract: | In this paper, based on the assumption of the geostrophic wind with linear horizontal and vertical shear, a nonlinear ordinary differential equation is constructed considering the atmospheric stratification with linear and nonlinear vertical shear. Furthermore, the instability criteria of nonlinear strutification symmetric motion have been obtained by discussing the convexity of Hamilton's function, and the catastrophe condition of nonlinear stratification symmetric motion is discussed. |
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| Keywords: | Symmetric motion Stability Catastrophe Criteria |
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