Diffusion process in a perforated domain around a vanishing suspension

Article type: Research Article

Authors: Chennouf, Selwa^{; *} | Bentalha, Fadila

Affiliations: Department of Mathematics, University of Batna, 05000, Algeria. E-mails: chennouf.selwa@gmail.com, fbentalha@hotmail.com

Correspondence: [*] Corresponding author. E-mail: chennouf.selwa@gmail.com.

Abstract: Our work deals with the homogenization of a diffusion process which take place in a domain formed by an ambient connected phase surrounding an ε-periodical network of small spherical particles and holes, ε is a small parameter ε>0. The asymptotic behavior is determined as ε→0, assuming that the total volume of the holes and particles vanishes as ε→0, while the total mass of the particles remains of the unity order.

Keywords: Diffusion, homogenization, perforated domains, particles, fine-scale substructure

DOI: 10.3233/ASY-191529

Journal: Asymptotic Analysis, vol. 115, no. 3-4, pp. 127-145, 2019