层流边界层方程零解的稳定性分析
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ANALYSIS OF THE ZERO SOLUTION STABILITY OF LAMINAR BOUNDARY LAYER EQUATION
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    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。

    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.

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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(中英文),1990,12(4). Cao Shuxiao. ANALYSIS OF THE ZERO SOLUTION STABILITY OF LAMINAR BOUNDARY LAYER EQUATION[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,1990,12(4).10.11835/j. issn.1674-4764.1990.04.010

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