Homogenization of Acoustic Equations for a Partially Perforated Elastic Material with Slightly Viscous Fluid
URI (for links/citations):http://elib.sfu-kras.ru/handle/2311/19710
Shamaev, Alexey S.
Shumilova, Vladlena V.
Шамаев, Алексей С.
Шумилова, Владлена В.
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