| 非线性Lyapunov稳定性及Stern's Modons的稳定性判据 |
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| 引用本文： | 罗德海.非线性Lyapunov稳定性及Stern''''s Modons的稳定性判据[J].成都信息工程学院学报,1993(4). |
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| 作者姓名： | 罗德海 |
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| 作者单位： | 成都气象学院研究所 |
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| 摘 要： | 本文在构造正压大气运动的浅水波模式的Hamilton守恒量和积分不变的Casimir泛函的基础上,建立了一个积分不变的Lyapunov函数,通过使用变分法,找出了正压旋转流体运动的非线性Lyapunov稳定性判据,并进一步讨论了Stern's Modons的稳定性。
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| 关 键 词： | 正压大气运动 Hamilton守恒量 非线性Lyapunov稳定性 |
NONLINEAR LYAPUNOV STABILITY OF BAROTROPIC ATMOSPHERIC MOTIONS AND STABILITY CRITERION OF STERNS MODONS |
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| Luuo Dehai.NONLINEAR LYAPUNOV STABILITY OF BAROTROPIC ATMOSPHERIC MOTIONS AND STABILITY CRITERION OF STERNS MODONS[J].Journal of Chengdu University of Information Technology,1993(4). |
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| Authors: | Luuo Dehai |
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| Abstract: | In this paper, the conserved Hamilionian quantity and integral invariant Casimir functional of shallow water wave equation are constructed, and the integral invariant Lyapunov functional, then the nonlinear Lyapunov stability criteria of barotropic rotating fluid are derived. Furthermore, the stability of Stern's Modons is also discussed by the variational method. |
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| Keywords: | Baroiropic atmosplteric motion Conserved Hantiltonian quantity Lyapwiov functional Nonlinear Lyapunov stability |
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