Different choices of scaling in homogenization of diffusion and interfacial exchange in a porous medium

DOI10.1002/mma.966zbMath1154.35008OpenAlexW1988585624MaRDI QIDQ3515065

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Publication date: 24 July 2008

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

Full work available at URL: https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/42815

zbMATH Keywords

homogenizationporous mediareaction-diffusion equationsmultiscaleboundary value problems for parabolic systems

Mathematics Subject Classification ID

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Cites Work

• Unnamed Item
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• Diffusion in composite solid: threshold phenomenon and homogenization
• Diffusion, convection, adsorption, and reaction of chemicals in porous media
• Homogenized model of reaction-diffusion in a porous medium
• Non-homogeneous media and vibration theory
• Homogenization of parabolic equations---an alternative approach and some corrector-type results
• Macroscopic modelling of heat transfer in composites with interfacial thermal barrier
• Homogenisation in domains with evolving microstructure
• Effective Chemical Processes in Porous Media
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• 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
• Heat Conduction in Fine Scale Mixtures With Interfacial Contact Resistance
• Reactive transport through an array of cells with semi-permeable membranes
• Multiscale convergence and reiterated homogenisation
• HOMOGENIZATION OF TWO HEAT CONDUCTORS WITH AN INTERFACIAL CONTACT RESISTANCE

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