ABSTRACT
In this paper we study the asymptotic behavior of the eigenvalue problem solutions of the conduction process in an ϵ-periodic domain formed by two components separated by a first-order jump interface. We prove that when the limits of the eigenvalues and eigenfunctions of this problem verify a certain (effective) two-temperature eigenvalue problem. Moreover, we show that the effective eigenvalue problem has only eigenvalues which come from the homogenization process.
Disclosure statement
No potential conflict of interest was reported by the authors.