| 非线性正压亚临界不稳定 |
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| 引用本文： | 陆维松.非线性正压亚临界不稳定[J].气象学报,2001,59(6):641-651. |
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| 作者姓名： | 陆维松 |
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| 作者单位： | 南京气象学院 南京，210044 |
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| 基金项目： | 国家自然科学基金资助项目 ( 4 9875 0 1 3) |
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| 摘 要： | 文中提出了一个新的广义能量作为 L yapunov函数 ,导出了包含两个联立不等式的一种新的非线性正压稳定性判据。并指出其中一个不等式是初始扰动振幅小于某一临界值 ,另一个则是摩擦系数大于另一临界值 ,前者对后者有很强的约束。该判据表明 ,在实际大气中对于有限振幅扰动容易产生正压亚临界不稳定 ,它大大地改进了以前的结果
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| 关 键 词： | 亚临界不稳定 非线性判据 广义能量 |
| 收稿时间： | 2/5/2000 12:00:00 AM |
| 修稿时间： | 3/5/2001 12:00:00 AM |
A NEW CRITERION OF NONLINEAR BAROTROPIC STABILITY INCLUDING EKMAN FRICTION |
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| Lu Weisong.A NEW CRITERION OF NONLINEAR BAROTROPIC STABILITY INCLUDING EKMAN FRICTION[J].Acta Meteorologica Sinica,2001,59(6):641-651. |
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| Authors: | Lu Weisong |
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| Institution: | Nanjing Institute of Meteorology, Nanjing 210044 |
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| Abstract: | A new generalized energy is proposed to act as Lyapunov function and thus a new criterion of nonlinear barotropic stability containing two inequalities is obtained.One of the inequalities is that the initial disturbance amplitude is less than a critical value, and the other is that the frictional coefficient is more than another critical value. The former adds a strong restriction to the latter, a usual nonlinear stability criterion, thus denoting that the subcritical instability easily occurs for a finite-amplitude disturbance in the real atmosphere. The new criterion has greath improved the previous results. |
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| Keywords: | Subcritical instability Nonlinear criterion Generalized energy |
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