Homogenization of Acoustic Equations for a Partially Perforated Elastic Material with Slightly Viscous Fluid
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https://elib.sfu-kras.ru/handle/2311/19710Автор:
Shamaev, Alexey S.
Shumilova, Vladlena V.
Шамаев, Алексей С.
Шумилова, Владлена В.
Дата:
2015-08Аннотация:
In this paper a mathematical model describing small oscillations of a heterogeneous medium is considered.
The medium consists of a partially perforated elastic material and a slightly viscous compressible fluid
filling the pores. For the given model the corresponding homogenized problem is constructed by using the
two-scale convergence method. The boundary conditions connecting equations of the homogenized model
on the boundary between the continuous elastic material and the porous elastic material with fluid are
found