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Article Dans Une Revue Asymptotic Analysis Année : 2007

Homogenizing a critical binary structure of finite diffusivities

Résumé

We study the homogenization of a diffusion process which takes place in a binary structure formed by an ambiental connected phase surrounding a suspension of very small spheres distributed in an $\varepsilon$-periodic network. We consider the critical radius case with finite diffusivities in both phases. The asymptotic distribution of the concentration is determined, as $\varepsilon\to 0$, assuming that the suspension has mass of unity order and vanishing volume. It appears that the ambiental macroscopic concentration is satisfying a Volterra integro-differential equation and it is defining straightly the macroscopic concentration associated to the suspension.
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Dates et versions

hal-00151567 , version 1 (04-06-2009)

Identifiants

  • HAL Id : hal-00151567 , version 1

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Isabelle Gruais, Dan Polisevski. Homogenizing a critical binary structure of finite diffusivities. Asymptotic Analysis, 2007, 55 (1-2), pp.85-101. ⟨hal-00151567⟩
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