Averaging the acoustics equations for a viscoelastic material with channels filled with a viscous compressible fluid

DOI10.1134/S0015462811020074zbMath1233.76090OpenAlexW1964433934MaRDI QIDQ665612

V. V. Shumilova, Alexei S. Shamaev

Publication date: 5 March 2012

Published in: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0015462811020074

zbMATH Keywords

viscoelasticityaveragingtwo-scale convergenceacoustics equationsviscous compressible fluids

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Linear constitutive equations for materials with memory (74D05) Hydro- and aero-acoustics (76Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

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Representation of solutions of integro-differential equations with kernels depending on the parameter, Homogenization of Acoustic Equations for a Partially Perforated Elastic Material with Slightly Viscous Fluid, Investigation of operator models arising in viscoelasticity theory, Problem of the boundary control of oscillations of a sample of a layered two-phase composite material, Spectrum of one-dimensional oscillations in the combined stratified medium consisting of a viscoelasticmaterial and a viscous compressible 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, Well-posedness and spectral analysis of integrodifferential equations arising in viscoelasticity theory, On the spectrum of an integro-differential equation arising in viscoelasticity theory, Analysis of operator models arising in problems of hereditary mechanics, Reflection of a plane acoustic wave from the interface between an elastic material and a layered elastic-fluid medium, Spectral analysis of integrodifferential equations in Hilbert spaces

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