Localization of surface waves by small perturbations of the boundary of a semisubmerged body

被引：0
|
作者：
Nazarov S.A. [1 ]
机构：
[1] Institute of Problems of Mechanical Engineering, Vasil'evskii Ostrov, St. Petersburg 199178
来源：
Journal of Applied and Industrial Mathematics | 2012年 / 6卷 / 2期
基金：
俄罗斯基础研究基金会;
关键词：
localized solution; singular perturbations of the boundary; surface wave; trapping modes;
D O I：
10.1134/S199047891202010X
中图分类号：
学科分类号：
摘要：
It is shown under the condition of symmetry that, by means of formation of a thin groove on the planar surface of a body parallel to the liquid's horizon in a cylindrical channel, we can achieve the following effect in the linear problem concerning the waves on water: on every arbitrarily short interval (0, d) of the continuous spectrum, any prescribed number of the eigenvalues is formed giving rise to "localized" solutions, i. e., belonging to a Sobolev space. © 2012 Pleiades Publishing, Ltd.
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页码：216 / 223
页数：7
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