Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2015 8 (3)
- Authors
- Shamaev, Alexey S.; Shumilova, Vladlena V.
- Contact information
- Shamaev, Alexey S.:Institute for Problems in Mechanics of RAS Vernadskogo, 101–1, Moscow, 119526 Russia;; Shumilova, Vladlena V.:Institute for Problems in Mechanics of RAS Vernadskogo, 101–1, Moscow, 119526 Russia;
- Keywords
- homogenization; two-scale convergence; heterogeneous medium
- Abstract
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
- Pages
- 356–370
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/19711
Journal of Siberian Federal University. Mathematics & Physics / Homogenization of Acoustic Equations for a Partially Perforated Elastic Material with Slightly Viscous Fluid
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