 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| S.A. Nazarov, "Asymptotic properties of the spectrum in the problem on waves in a bounded volume on a two-layer fluid," J. Appl. Math. Mech. 77 (5), 494-507 (2013) |
| Year |
2013 |
Volume |
77 |
Issue |
5 |
Pages |
494-507 |
| Title |
Asymptotic properties of the spectrum in the problem on waves in a bounded volume on a two-layer fluid |
| Author(s) |
S.A. Nazarov (St Petersburg, Russia, srgnazarov@yahoo.co.uk) |
| Abstract |
The asymptotic of eigen frequencies and corresponding waves on the free surface and interface of a two-layer ideal heavy fluid is constructed in two cases: the fluid is almost uniform and the upper layer has a low density. The asymptotic formulae are jusitified under the condition that the volume of the fluid is bounded. For the problem of surface waves, travelling in a submerged or surface-piercing infinite cylinder, the sufficient conditions for localized solutions of the limit problems to exist are indicated, and the hypothesis on the inevitable trapping of a wave by the body, which does not intersect both surfaces, is also formulated. |
| Received |
30 May 2011 |
| Link to Fulltext |
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