Journal of Siberian Federal University. Humanities & Social Sciences / Homogenization of Acoustic Equations for a Partially Perforated Elastic Material with Slightly Viscous Fluid

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Issue
Journal of Siberian Federal University. Humanities & Social Sciences. 2015 8 (7)
Authors
Shamaev, Alexey S.; Shumilova, Vladlena V.
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

Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/19710

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