This article is cited in 2 papers

Averaging of acoustic equation for partially perforated viscoelastic material with channels filled by a liquid

V. V. Shumilova

Ishlinskiy Institute of Mechanical Problems, Russian Academy of Sciences, Moscow, Russia

Abstract: 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.

UDC: 517.958

 English version: Journal of Mathematical Sciences, 2013, 190:1, 194–208

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