Derivation of equations of seismic and acoustic wave propagation and equations of filtration via homogenization of periodic structures

DOI10.1007/s10958-009-9666-xzbMath1185.35195OpenAlexW1968519046MaRDI QIDQ844562

Anvarbek M. Meirmanov

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9666-x

zbMATH Keywords

homogenizationperiodic structuresBiot's equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Seismology (including tsunami modeling), earthquakes (86A15) Homogenization in equilibrium problems of solid mechanics (74Q05) Hydro- and aero-acoustics (76Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Geophysical solid mechanics (74L05)

Related Items (4)

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

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