On direct and inverse spectral problems for sloshing of a two-layer fluid in an open container

被引：4
|
作者：
Kuznetsov, N. G. [1 ]
机构：
[1] Russian Acad Sci, Inst Problems Mech Engn, Lab Math Modelling Wave Phenomena, VO, Bolshoy Pr 61, St Petersburg 199178, Russia
来源：
NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS | 2016年 / 7卷 / 05期
关键词：
Laplace equation; sloshing problem; two-layer fluid; eigenvalue; eigenfunction; inverse spectral problem;
D O I：
10.17586/2220-8054-2016-7-5-854-864
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
We study the direct and inverse eigenvalue problems for a pair of harmonic functions with a spectral parameter in boundary and coupling conditions. The direct problem is relevant to sloshing frequencies of free oscillations of a two-layer fluid in a container. The upper fluid occupies a layer bounded above by a free surface and below by a layer of fluid of greater density. Both fluids are assumed to be inviscid, incompressible, and heavy, whereas the free surface and the interface between fluids are considered bounded.
引用
收藏
页码：854 / 864
页数：11
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