najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2016-7-5-854-864najo-949Research ArticleСтатьиOn direct and inverse spectral problems for sloshing of a two-layer fluid in an open containerKuznetsovN. G.

V.O., Bol’shoy pr. 61, St. Petersburg, 199178

nikolay.g.kuznetsov@gmail.comLaboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, Russian Academy of SciencesRussian Federation20161508202575854864Copyright © Kuznetsov N.G., 20252025Kuznetsov N.G.Kuznetsov N.G.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/949

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.

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The authors declare that there are no conflicts of interest present.