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冷迳流的稳定性及其解析解的分析
引用本文:欧阳首承,朱克云,肖天贵.冷迳流的稳定性及其解析解的分析[J].大气科学,1992,16(4):502-507.
作者姓名:欧阳首承  朱克云  肖天贵
作者单位:成都气象学院,成都气象学院,成都气象学院 成都 610041,成都 610041,成都 610041
摘    要:本文利用相法讨论了y方向无限伸延的冷迳流方程.首先发现其非线性项作用由于z方向上的补偿作用而消失,即其相空间的方程是四阶线性常微分方程.利用Hurwitz方法分析其稳定时,证明了唯有中性大气符合冷迳流的稳定性条件.其解析解的趋势表明与观测结果类似.

关 键 词:冷迳流    稳定性    相空间

Stability of cold-air drainage and analysis of analytic solution
Ouyang Shoucheng,Zhu Keyun and Xiao Tiangui.Stability of cold-air drainage and analysis of analytic solution[J].Chinese Journal of Atmospheric Sciences,1992,16(4):502-507.
Authors:Ouyang Shoucheng  Zhu Keyun and Xiao Tiangui
Abstract:The equations of cold-air drainage are studied using a phase angle function in this paper. The terrain is considered as an ideal two dimensional slope extending infinitely in y- direction . Firstly , it is found that nonlinear terms disappear because of some effects in z-direction . Then a linear fourth-order differential equation is obtained and its stability is analysed with Hurwitz. Its solution is obtained . Only neutral atmosphere according with stability condition of cold-air drainage .
Keywords:Cold-air drainage  Stability  Phase space  
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