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| 变分原理和非线性Lyapunov稳定性判据 | |
| 引用本文： | 罗德海. 变分原理和非线性Lyapunov稳定性判据[J]. 成都信息工程学院学报, 1993, 0(4) |
| 作者姓名： | 罗德海 |
| 作者单位： | 成都气象学院研究所 |
| 摘 要： | 本文通过构造斜压大气运动的原始方程模式和两层模式的Hamilton守恒量及积分不变的Casimir泛函,并使用变分法,得到了斜压大气运动的非线性Lyapunov稳定性判据,这个判据是Arnold-Blumen-Zeng判据的推广。 |
| 关 键 词： | 变分法 Hamilton守恒量 Casimir泛函 Lyapunov稳定性判据 |
THE VARIATIONAL PRINCIPLE OF BAROCLINIC ATMOSPHERIC MOTION AND NONLINEAR LYAPUNOV STABILITY CRITERION |
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| Luo Dehai. THE VARIATIONAL PRINCIPLE OF BAROCLINIC ATMOSPHERIC MOTION AND NONLINEAR LYAPUNOV STABILITY CRITERION[J]. Journal of Chengdu University of Information Technology, 1993, 0(4) | |
| Authors: | Luo Dehai |
| Abstract: | In this paper, the conserved Hamilton quantity and integral invarant quantity of baroclinic primitive equation and two-layer baroclinic model are constructed, and the variational method is used to obtain nonlinear Lyapunov stability criterion of baroclinic atmospheric motion, which generalize the Arnold-Blumen-Zeng stability criterion. |
| Keywords: | Variaiumal method Conserved Hamilton quaiduly Integral invariant casaidr functional Lyapunov stability criterion. |
| 本文献已被 CNKI 等数据库收录！ | |