Geodesic
Homogenization of acoustic equations for a partially perforated elastic material with slightly viscous fluid
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 3, pp. 356-370

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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.
Keywords: homogenization, two-scale convergence, heterogeneous medium. 
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     title = {Homogenization of acoustic equations for a partially perforated elastic material with slightly viscous fluid},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     publisher = {mathdoc},
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     number = {3},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2015_8_3_a12/}
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Alexey S. Shamaev; Vladlena V. Shumilova. Homogenization of acoustic equations for a partially perforated elastic material with slightly viscous fluid. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 3, pp. 356-370. http://geodesic.mathdoc.fr/item/JSFU_2015_8_3_a12/