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
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.
Ключевые слова
Laplace equation,
sloshing problem,
two-layer fluid,
eigenvalue,
eigenfunction,
inverse spectral problem
Об авторе
N. Kuznetsov
Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, Russian Academy of Sciences
Россия
Россия
Список литературы
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Рецензия
Для цитирования:
. Наносистемы: физика, химия, математика. 2016;7(5):854-864. https://doi.org/10.17586/2220-8054-2016-7-5-854-864
For citation:
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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