陆维松. 2001. 非线性正压亚临界不稳定[J]. 气象学报, 59(6):641-651, doi:10.11676/qxxb2001.068 |
非线性正压亚临界不稳定 |
A NEW CRITERION OF NONLINEAR BAROTROPIC STABILITY INCLUDING EKMAN FRICTION |
投稿时间:2000-02-05 修订日期:2001-03-05 |
DOI:10.11676/qxxb2001.068 |
中文关键词: 亚临界不稳定 非线性判据 广义能量 |
英文关键词:Subcritical instability Nonlinear criterion Generalized energy |
基金项目:国家自然科学基金资助项目(49875013) |
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中文摘要: |
文中提出了一个新的广义能量作为Lyapunov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。 |
英文摘要: |
A new generalized energy is propo sed to act as Ly apuno vfunction and thus a new criterion of nonlinear bar ot ropic 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 rest riction to the latter,a usual nonlinear stability criterion,thus denoting that the subcritical inst ability easily occurs for a finite-amplitude disturbance in the realatm osphere.The new criterion has great himproved the previous results. |
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