A note on anisotropic, inhomogeneous, poro-elastic media

DOI10.1002/mma.1171zbMath1195.35103OpenAlexW1998088253MaRDI QIDQ3401985

Des McGhee, Rainer Picard

Publication date: 2 February 2010

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1171

zbMATH Keywords

constitutive equationsfoundationsflows in porous mediarheologylinear evolution equationsmaterial lawsporo-elasticitybiot systeminitial value problems for linear first-order PDE

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for linear first-order PDEs (35F10) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Related Items (2)

Mixed-dimensional poromechanical models of fractured porous media ⋮ Well-posedness for a general class of differential inclusions

Cites Work

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• Introduction to modelling of transport phenomena in porous media
• Multiscale flow and deformation in hydrophilic swelling porous media
• Diffusion in poro-elastic media
• On asymptotic equipartition of energy
• Linear thermo-elasticity in non-smooth media
• A structural observation for linear material laws in classical mathematical physics

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