Research output: Contribution to journal › Article › peer-review
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.
Original language | English |
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Pages (from-to) | 494-507 |
Number of pages | 14 |
Journal | Journal of Applied Mathematics and Mechanics |
Volume | 77 |
Issue number | 5 |
DOIs | |
State | Published - 1 Dec 2013 |
ID: 62107860