Spectral properties of the Orr-Sommerfeld problem

Langer, Heinz and Tretter, Christiane (1997) Spectral properties of the Orr-Sommerfeld problem. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 127 (6). pp. 1245-1261. ISSN 0308-2105, 1473-7124

Full text not available from this repository.

Abstract

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.

Item Type: Article
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 24 May 2023 09:56
Last Modified: 24 May 2023 09:56
URI: https://pred.uni-regensburg.de/id/eprint/51245

Actions (login required)

View Item View Item
pred is powered by EPrints 3.4 which is developed by the School of Electronics and Computer Science at the University of Southampton. More information and software credits.