Geodesic
Including eigenvalues of the plane Orr-Sommerfeld problem
Applications of Mathematics, Tome 38 (1993) no. 6, pp. 452-458

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In an earlier paper [5] a method for eigenvalue inclussion using a Gerschgorin type theory originating from Donnelly [2] was applied to the plane Orr-Sommerfeld problem in the case of a pure Poiseuile flow. In this paper the same method will be used to deal Poiseuile and Couette flow. Potter [6] has treated this case before with an approximative method.
DOI : 10.21136/AM.1993.104567
Classification : 34L40, 47A75, 65L15, 76D99, 76E05, 76M25
Keywords: plane Orr-Sommerfeld problem; combination of Couette flow and Poiseuille flow; infinite dimensional matrix eigenvalue problem; inclusion of eigenvalues using a genralization of Gerschgorin's method 
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     title = {Including eigenvalues of the plane {Orr-Sommerfeld} problem},
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Klein, Peter P. Including eigenvalues of the plane Orr-Sommerfeld problem. Applications of Mathematics, Tome 38 (1993) no. 6, pp. 452-458. doi: 10.21136/AM.1993.104567

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