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

Author:

Shumilova V. V.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference7 articles.

1. Shamaev, A.S. and Shumilova, V.V., On the Spectrum of One-Dimensional Vibrations of a Layered Composite Material with Components of Elastic and Viscoelastic Materials, Sib. Zh. Ind. Mat., 2012, vol. 15, no. 4, pp. 124–134.

2. Shumilova, V.V., Homogenizing the Viscoelasticity Problem with Long-Term Memory, Mat. Zametki, 2013, vol. 94, no. 3, pp. 441–454.

3. Levy, T., Propagation of Waves in a Fluid-Saturated Porous Elastic Solid, Internat. J. Engrg. Sci., 1979, vol. 17, pp. 1005–1014.

4. Sánchez-Palencia, E., Non-Homogeneous Media and Vibration Theory, Berlin: Springer, 1980. Translated under the title Neodnorodnye sredy i teoriya kolebanii, Moscow: Mir, 1984.

5. Nguetseng, G., Asymptotic Analysis for a Stiff Variational Problem Arising in Mechanics, SIAM J. Math. Anal., 1990, vol. 21, no. 6, pp. 1394–1414.

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