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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 5
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Original Articles

Homogenization of a highly rarefied binary structure of finite diffusivity

Pages 633-652 | Received 03 Dec 2006, Accepted 11 Apr 2007, Published online: 30 May 2007
 

Abstract

The homogenization of a binary structure made of very small particles of general shape is performed when the diffusivity is finite and when the size of the particles has a critical value with respect to a rarefaction number. The limit problem involves an auxiliary function which can be interpreted as the solution of a problem of cellular type, thus filling the gap with classical methods of multiple scales.

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