Azizov, Tomas Ya. and Hardt, Volker and Kopachevsky, Nikolay D. and Mennicken, Reinhard (2003) On the problem of small motions and normal oscillations of a viscous fluid in a partially filled container. MATHEMATISCHE NACHRICHTEN, 248. pp. 3-39. ISSN 0025-584X, 1522-2616
Full text not available from this repository. (Request a copy)Abstract
The famous classical S. Krein problem of small motions and normal oscillations of a viscous fluid in a partially filled container is investigated by a new approach based on a recently developed theory of operator matrices with unbounded entries. The initial boundary value problem is reduced to a Cauchy problem dy/dt +Ay f(t), y(0) = y(0), in some Hilbert space. The operator matrix A is a maximal uniformly accretive operator which is selfadjoint in this space with respect to some indefinite metric. The theorem on strong solvability of the hydrodynamic problem is proved. Further, the spectrum of normal oscillations, basis properties of eigenfunctions and other questions are studied.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DIFFERENTIAL-OPERATORS; ESSENTIAL SPECTRUM; MIXED ORDER; MATRICES; SYSTEM; Hilbert space; evolution problem; Navier-Stokes equations; normal oscillations |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 05 Aug 2021 10:36 |
| Last Modified: | 05 Aug 2021 10:36 |
| URI: | https://pred.uni-regensburg.de/id/eprint/39496 |
Actions (login required)
 |
View Item |
