Homogenization of the Acoustics Mathematical Model

DOI10.18500/1816-9791-2015-15-3-264-272zbMath1331.74142OpenAlexW3093843971MaRDI QIDQ2787925

Artur Andreevich Gerus, Svetlana Aleksandrovna Gritsenko

Publication date: 7 March 2016

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18500/1816-9791-2015-15-3-264-272

zbMATH Keywords

Stokes equationsperiodic structuretwo-scale convergenceporoelasticLame's equationshomogenization of periodic structuresacoustics equationscomposite medium

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Cites Work

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• Derivation of the equations of nonisothermal acoustics in elastic porous media
• On the application of the homogenization theory to a class of problems arising in fluid mechanics
• Acoustics equations in poroelastic media
• Einstein equations for invariant metrics on flag spaces and their Newton polytopes

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