Corrector estimates for the homogenization of a locally periodic medium with areas of low and high diffusivity (Q2866717)
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scientific article; zbMATH DE number 6238533
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Corrector estimates for the homogenization of a locally periodic medium with areas of low and high diffusivity |
scientific article; zbMATH DE number 6238533 |
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Corrector estimates for the homogenization of a locally periodic medium with areas of low and high diffusivity (English)
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13 December 2013
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transmission condition
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micro-macro transport
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heterogeneous materials
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advection-diffusion-reaction system
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The authors justify the homogenization limit for an advection-diffusion-reaction system posed in areas with both low and high porosity by proving error bounds. The ingredients of the proof include integral estimates for rapidly oscillating functions, two-scale regularity/compactness and energy-like estimates.
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