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Diffusion models with microstructure

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Abstract

Models of diffusion are presented which recognize the local geometry of individual cells or storage sites and the exchange of flux on the micro-scale of these cells. Such models have been obtained by homogenization, but here we indicate stronger existence-uniqueness results of “parabolic” type can be obtained directly. Connections between these models and their historical development will be described.

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  1. R. E. Showalter
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Showalter, R.E. Diffusion models with microstructure. Transp Porous Med 6, 567–580 (1991). https://doi.org/10.1007/BF00137850

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