Two-temperature homogenized eigenfunctions of conduction through domains with jump interfaces
Résumé
In this paper we study the asymptotic behavior of the eigen-value 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 ε → 0 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.
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