平面Poiseuille流中弱非线性理论和二次失稳理论的关系<sup>*</sup>

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平面Poiseuille流中弱非线性理论和二次失稳理论的关系^*

基金项目: * 中国科学院基金

摘要: 文献[1]提出了平面Poiseuille流的二次失稳理论,本文则用弱非线性理论研究了同一问题.所得结果和二次失稳理论的结果是一致的,说明在平面Poiseuille流中弱非线性理论和二次失稳理论有内在联系.

Abstract: In [1] the theory of secondary instability for plane Poiseuille flow was proposed. In this paper the weakly nonlinear theory is used to investigate the same problem. The results are consistent with those of the theorv of secondary instability. It indicates that for plane Poiseuille flow there exists a certain intrinsic relation between the weakly nonlinear theory and the theory of secondary instability.

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