The spectrum of a parametrized partial differential operator occurring in hydrodynamics

Denk, Robert and Moeller, M. and Tretter, C. (2002) The spectrum of a parametrized partial differential operator occurring in hydrodynamics. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 65. pp. 483-492. ISSN 0024-6107, 1469-7750

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Abstract

A partial differential operator associated with natural oscillations of an incompressible fluid in the neighbourhood of an elliptical flow is considered. The differentiation is only taken with respect to the angular variable, and thus the operator becomes a family of ordinary differential operators parametrized by the radial variable. It is shown that the spectra of these ordinary differential operators completely determine the spectrum of the given operator which turns out to have a kind of skeleton structure.

Item Type: Article
Uncontrolled Keywords: ;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 03 Nov 2021 07:48
Last Modified: 03 Nov 2021 07:48
URI: https://pred.uni-regensburg.de/id/eprint/40438

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