Homogenized models for filtration and for acoustic wave propagation in thermo-elastic porous media

DOI10.1017/S0956792508007523zbMath1141.74019MaRDI QIDQ3515471

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Publication date: 29 July 2008

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

two-scale convergenceBiot's systemDarcy's system

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Thermal effects in solid mechanics (74F05) Flows in porous media; filtration; seepage (76S05) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (4)

Derivation of an averaged model of isothermal acoustics in a heterogeneous medium in the case of two different poroelastic domains ⋮ Derivation of the equations of nonisothermal acoustics in elastic porous media ⋮ Homogenization of the equations of filtration of a viscous fluid in two porous media ⋮ On homogenized equations of filtration in two domains with common boundary

Cites Work

• Homogenizing the acoustic properties of the seabed. I
• Asymptotic Analysis for a Stiff Variational Problem Arising in Mechanics
• Poroelasticity equations derived from microstructure
• An extension theorem from connected sets, and homogenization in general periodic domains
• 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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