Spectral properties of the Orr-Sommerfeld problem
1997 ◽
Vol 127
(6)
◽
pp. 1245-1261
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Keyword(s):
In this paper, we study the Orr–Sommerfeld problem on a finite interval. It is shown that the eigenfunctions and associated functions form a Bari basis in a suitable Hilbert space if the unperturbed velocity profile u is sufficiently smooth. To this end, the Orr–Sommerfeld problem is considered as a bounded perturbation of a certain self-adjoint spectral problem.
2003 ◽
Vol 133
(4)
◽
pp. 893-917
◽
2015 ◽
Vol 2015
◽
pp. 1-6
◽
1991 ◽
Vol 44
(1)
◽
pp. 42-53
◽
2012 ◽
Vol 43
(2)
◽
pp. 289-299
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Keyword(s):