Аннотация:
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.
Поступила в редакцию: 19.08.2016 Исправленный вариант: 05.09.2016
Реферативные базы данных:
Тип публикации:
Статья
PACS:02.30.Jr, 47.35.Bb
Язык публикации: английский
Образец цитирования:
N. G. Kuznetsov, “On direct and inverse spectral problems for sloshing of a two-layer fluid in an open container”, Наносистемы: физика, химия, математика, 7:5 (2016), 854–864
\RBibitem{Kuz16}
\by N.~G.~Kuznetsov
\paper On direct and inverse spectral problems for sloshing of a two-layer fluid in an open container
\jour Наносистемы: физика, химия, математика
\yr 2016
\vol 7
\issue 5
\pages 854--864
\mathnet{http://mi.mathnet.ru/nano290}
\crossref{https://doi.org/10.17586/2220-8054-2016-7-5-854-864}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000387463700007}
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nano290
https://www.mathnet.ru/rus/nano/v7/i5/p854
Эта публикация цитируется в следующих 2 статьяx:
Filipe S. Cal, Gonçalo A. S. Dias, Bruno M. M. Pereira, Juha H. Videman, “Wave trapping by freely floating obstacles in a discretely stratified fluid”, Math Methods in App Sciences, 46:18 (2023), 18672
Nikolay G. Kuznetsov, Oleg V. Motygin, Advanced Structured Materials, 164, Mechanics and Control of Solids and Structures, 2022, 375