Upscaling the Poisson-Nernst-Planck equations for ion transport in weakly heterogeneous charged porous media

DOI10.1016/j.aml.2022.108482zbMath1503.76131OpenAlexW4307125306MaRDI QIDQ2106120

Václav Klika, Eamonn A. Gaffney

Publication date: 8 December 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108482

zbMATH Keywords

Poisson-Nernst-Planck equationsnon-periodic homogenisationDebye layernon-periodic diffusion equationswelling pressure

Mathematics Subject Classification ID

Diffusion (76R50) Flows in porous media; filtration; seepage (76S05) Magnetohydrodynamics and electrohydrodynamics (76W05) Homogenization applied to problems in fluid mechanics (76M50)

Cites Work

• Homogenization and Two-Scale Convergence
• An evaluation of some assumptions underpinning the bidomain equations of electrophysiology
• Modelling the inclusion of swelling pressure in a tissue level poroviscoelastic model of cartilage deformation
• Homogenization of the Poisson--Nernst--Planck equations for Ion Transport in Charged Porous Media
• Diffusion in Spatially Varying Porous Media