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Homogenization of the acoustic equations for a medium consisting of a viscoelastic material and a slightly viscous compressible liquid

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Abstract

We study a mathematical model describing the vibrations of a microinhomogeneous heterogeneous medium with ɛ-periodic structure. We assume that the heterogeneous medium consists of an isotropic viscoelastic material with a long-time memory and a slightly viscous compressible liquid. For this model, we construct the corresponding homogenized model describing the behavior of the heterogeneous medium as ɛ → 0.

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Authors and Affiliations

  1. A. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia

    V. V. Shumilova

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  1. V. V. Shumilova
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Correspondence to V. V. Shumilova.

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Original Russian Text © V.V. Shumilova, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 4, pp. 556–560.

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Shumilova, V.V. Homogenization of the acoustic equations for a medium consisting of a viscoelastic material and a slightly viscous compressible liquid. Diff Equat 51, 566–570 (2015). https://doi.org/10.1134/S001226611504014X

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  • DOI: https://doi.org/10.1134/S001226611504014X

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