Geodesic
Averaging of acoustic equation for partially perforated viscoelastic material with channels filled by a~liquid
Contemporary Mathematics. Fundamental Directions, Partial differential equations, Tome 39 (2011), pp. 185-198

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Acoustic equations for combined media consisting of partially perforated viscoelastic material and viscous incompressible liquid filling pores are considered. An averaged model is constructed for the model under consideration, and boundary conditions connecting equations of the obtained averaged model on the boundary between solid viscoelastic material and porous viscoelastic material filled by a viscous incompressible liquid are found. The convergence of limit problems to the solution of corresponding averaged problem with respect to the norm of the space $L^2$ is proved. 
@article{CMFD_2011_39_a11,
     author = {V. V. Shumilova},
     title = {Averaging of acoustic equation for partially perforated viscoelastic material with channels filled by a~liquid},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {185--198},
     publisher = {mathdoc},
     volume = {39},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2011_39_a11/}
}
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V. V. Shumilova. Averaging of acoustic equation for partially perforated viscoelastic material with channels filled by a~liquid. Contemporary Mathematics. Fundamental Directions, Partial differential equations, Tome 39 (2011), pp. 185-198. http://geodesic.mathdoc.fr/item/CMFD_2011_39_a11/