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The eigenvalue problem and expansion theorems associated with Orr- Sommerfeld equation

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Publication:1086749
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DOI10.1007/BF01877398zbMath0609.35068MaRDI QIDQ1086749

Heng Zhou, Li Li

Publication date: 1981

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)


zbMATH Keywords

eigenvalue problemOrr-Sommerfeld equationexpansion seriesBessel equalitycomplete orthogonal setexpansion theoremsinequality of Paley- Wiener typestability of laminar fluid motion


Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Series solutions to PDEs (35C10) Partial differential equations of mathematical physics and other areas of application (35Q99)


Related Items (3)

Further improvement of weakly nonlinear theory of hydrodynamic stability ⋮ Mode decomposition of nonlinear eigenvalue problems and application in flow stability ⋮ On Lyapunov's method in the theory of stability of laminar fluid flows




Cites Work

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