A diffusion equation through a highly heterogeneous medium

DOI10.1080/00036811003717962zbMath1192.35017OpenAlexW2004928277WikidataQ58281070 ScholiaQ58281070MaRDI QIDQ3569224

Ali Sili

Publication date: 18 June 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811003717962

zbMATH Keywords

holesNeumann conditionDirichlet condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (8)

On critical parameters in homogenization of perforated domains by thin tubes with nonlinear flux and related spectral problems ⋮ Non-local effects by homogenization or 3D-1D dimension reduction in elastic materials reinforced by stiff fibers ⋮ Interior regularity estimates in high conductivity homogenization and application ⋮ The effective conductivity equation for a highly heterogeneous periodic medium ⋮ Linear elliptic equations in composite media with anisotropic fibres ⋮ Diffusion through a composite medium with a semi-periodic structure and high contrasting diffusivity ⋮ On the limit spectrum of a degenerate operator in the framework of periodic homogenization or singular perturbation problems ⋮ Homogenization of Highly Oscillating Boundaries with Strongly Contrasting Diffusivity

Cites Work

• Homogenized model of reaction-diffusion in a porous medium
• Characterization of the flow for a single fluid in an excavation damaged zone
• Homogenization of a degenerate triple porosity model with thin fissures
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• HOMOGENIZATION OF A NONLINEAR MONOTONE PROBLEM IN AN ANISOTROPIC MEDIUM

This page was built for publication: A diffusion equation through a highly heterogeneous medium