On the Laplacean transfer across fractal mixtures

Article type: Research Article

Authors: Capitanelli, R.^; | Vivaldi, M.A.

Affiliations: Dipartimento di Scienze di Base e Applicate per l'Ingegneria, “Sapienza” Università di Roma, Roma, Italy. E-mails: [email protected], [email protected]

Note: [] Corresponding author: R. Capitanelli, Dipartimento di Scienze di Base e Applicate per l'Ingegneria, “Sapienza” Università di Roma, Via A. Scarpa 16, 00161 Roma, Italy. E-mail: [email protected]

Abstract: Laplacean transport across and towards irregular interfaces have been used to model many phenomena in nature and technology. The peculiar aspect is that these phenomena take place in domains with small bulk and large interfaces in order to produce rapid and efficient transport. In this paper we perform the asymptotic homogenization analysis of Robin problems in domains with a fractal boundary.

Keywords: fractals, variational methods for second-order elliptic equations, boundary value problems for second-order elliptic equations, homogenization

DOI: 10.3233/ASY-2012-1149

Journal: Asymptotic Analysis, vol. 83, no. 1-2, pp. 1-33, 2013