Homogenization of the acoustic equations for a porous long-memory viscoelastic material filled with a viscous fluid

DOI10.1134/S0012266112080113zbMath1261.35015OpenAlexW1987367491MaRDI QIDQ1930804

V. V. Shumilova, Alexei S. Shamaev

Publication date: 14 January 2013

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266112080113

zbMATH Keywords

Laplace transformhomogeneous Dirichlet boundary conditionstwo-scale convergencevibrating systemperiodic porous medium

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (5)

Homogenization of Acoustic Equations for a Partially Perforated Elastic Material with Slightly Viscous Fluid ⋮ Asymptotics of the spectrum of one-dimensional natural vibrations in a layered medium consisting of viscoelastic material and viscous fluid ⋮ Effective tensor of the relaxation kernels of a layered medium consisting of a viscoelastic material and a viscous incompressible fluid ⋮ Homogenization of equations of dynamics of a medium consisting of viscoelastic material with memory and incompressible Kelvin-Voigt fluid ⋮ Reflection of a plane sound wave from the boundary of a heterogeneous medium consisting of elastic and viscoelastic layers

Cites Work

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• A Description of Seismic Acoustic Wave Propagation in Porous Media via Homogenization
• An extension theorem from connected sets, and homogenization in general periodic domains
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Homogenizing the acoustic properties of the seabed. II.

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