On the homogenization of a transmission problem arising in chemistry

Abstract

The aim of this paper is to study the asymptotic behavior of the solution of a transmission problem in some chemical reactive flows through periodically perforated domains. The domain is considered to be a fixed bounded open subset Ω⊂Rn, in which identical and periodically distributed perforations (holes) of size ε are made. The asymptotic behavior of the solution of such a problem is governed by a new elliptic boundary-value problem with an extra zero-order term that captures the effect of the chemical reactions associated to the homogenized medium.