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层流边界层方程零解的稳定性分析
引用本文:曹树孝.层流边界层方程零解的稳定性分析[J].土木与环境工程学报,1990,12(4).
作者姓名:曹树孝
作者单位:重庆建筑工程学院基础科学系
摘    要:二维不可压层流边界层方程经相似变换可化为Blasius方程。本文将Blasius方程2f″′+ff″=0作变量变换,化为二阶非线性自治系统,利用其近似的线性系统讨论了零解附近的稳定性。

关 键 词:层流边翠层  自治系统  稳定性

ANALYSIS OF THE ZERO SOLUTION STABILITY OF LAMINAR BOUNDARY LAYER EQUATION
Cao Shuxiao.ANALYSIS OF THE ZERO SOLUTION STABILITY OF LAMINAR BOUNDARY LAYER EQUATION[J].Journal of Civil and Environmental Engineering,1990,12(4).
Authors:Cao Shuxiao
Affiliation:Department of Natural Science
Abstract:Two-dimensional incompressible laminar boundary layer equation can be changed into Blasius equation by means of similarity transformation. In this paper, Blasius equation 2f" '+ff"=0 is transferred into a nonlinear and autonomous system of second order by variable transforming. Taking the advantage of its approximation to linear system, the stability near zero solution can be discussed.
Keywords:laminar boundary layer  autonomous system  stability
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