Poiseuille流的谱问题

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The Spectral Problem of Poiseuille Flow

摘要: 对Poiseuille流问题的Orr-Sommerfeld方程严格求解.得到的正规解不含外来奇点.从而谱方程可作解析的显式分析.本文结果可以进一步讨论分岔解.

Abstract: For Poiseuille flow the Orr-Sommerfeld equation is solved exactly. Regular solutions are obtained, thereby eigenvalue equation can be analyzed analytically and explicitly. The bifurcation solutions will be discussed subsequently.

[1]	Heisenberg,W.,über Stabilität und Turbulenz von Flüssig-keitsströmen,Annalen der Physik,74(1924),577.
[2]	Lin,C.C.,The Theory of Hydrodynamic Stability,Cambridge University Press(1955).
[3]	Joseph,D.D.,Stability of Fluid Motion Ⅰ-Ⅱ,Springer-Verlag(1976)
[4]	Dong Ming-de,Poincare's Problem of Irregular Integrals,(Lacture Notes)(1981).

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