Including eigenvalues of the plane Orr-Sommerfeld problem. (English) Zbl 0791.76025
In an earlier paper [P. P. Klein, Z. Angew. Math. Mech. 70, No. 6, 560-562 (1990; Zbl 0716.65078)] a method for eigenvalue inclusion using a Gerschgorin type theory was applied to the plane Orr-Sommerfeld problem in the case of a pure Poiseuille flow. In this paper, the same method will be used to deal with the plane Orr-Sommerfeld problem where the basic flow is a linear combination of Poiseuille and Couette flow.
MSC:
| 76E05 | Parallel shear flows in hydrodynamic stability |
Keywords:
infinite-dimensional matrix eigenvalue problem; Gerschgorin’s method; Poiseuille flow; Couette flowCitations:
Zbl 0716.65078References:
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