Unfolding Method for Diffusion Process in a Rarefied Binary Structure

Georges Griso (1) , Louiza Merzougui (2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 Université Hadj Lakhdar Batna 1

The aim of this paper is to study the homogenization of a diffusion process which takes place in a binary structure made by an ambient connected phase surrounding the suspensions (very small particles of diameter of order εδ) distributed in an ε-periodic network. Using the periodic unfolding method introduced in [4], in the critical case, when ε and δ go to 0 we determine the asymptotic behavior of the solution of an evolution problem.

Mots clés: strange term; homogenization; binary structure; evolution problem

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]

Georges Griso, Louiza Merzougui. Unfolding Method for Diffusion Process in a Rarefied Binary Structure. Applicable Analysis, 2017. ⟨hal-01449413⟩