On direct and inverse spectral problems for sloshing of a two-layer fluid in an open container
https://doi.org/10.17586/2220-8054-2016-7-5-854-864
Abstract
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.
About the Author
N. G. Kuznetsov
Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, Russian Academy of Sciences
Russian Federation
Russian Federation
V.O., Bol’shoy pr. 61, St. Petersburg, 199178
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Review
For citations:
Kuznetsov N.G. On direct and inverse spectral problems for sloshing of a two-layer fluid in an open container. Nanosystems: Physics, Chemistry, Mathematics. 2016;7(5):854-864. https://doi.org/10.17586/2220-8054-2016-7-5-854-864
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