Homogenization of a highly rarefied binary structure of finite diffusivity

Source: Applicable Analysis, Volume 86, Number 5, May 2007 , pp. 633-652(20)

Publisher: Taylor and Francis Ltd

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.

Keywords: 2000 Mathematics Subject Classifications; 35B27; 35Q72; 74Q05; 74Q15; 76M50

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00036810701354979

Publication date: 2007-05-01

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