Faierman, M. and Lifschitz, A. and Mennicken, Reinhard and Moeller, M. (1999) On the essential spectrum of a differentially rotating star. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 79 (11). pp. 739-755. ISSN 0044-2267,
Full text not available from this repository.Abstract
Natural oscillations of a differentially rotating star are governed by the linearized Euler equations. Separation of variables leads to a family ILk,0 (k is an element of Z) of mixed order partial differential operators. It is shown that Sor k not equal 0 their closures ILk have nonempty essential spectrum. Indeed, ii is shown that the essential spectrum of ILk coincides with the essential spectrum of a bounded operator. Some parts of the essential spectrum are calculated explicitly. It is still an open problem if there are more points in the essential spectrum. MSC (1991): 47A10, 47F05.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | OPERATORS; STABILITY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 06 Dec 2022 07:53 |
| Last Modified: | 06 Dec 2022 07:53 |
| URI: | https://pred.uni-regensburg.de/id/eprint/48748 |
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