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Article Dans Une Revue Applicable Analysis Année : 2020

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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Dates et versions

hal-01874134 , version 1 (14-09-2018)

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Isabelle Gruais, Dan Poliševski, Alina Stefan. Two-temperature homogenized eigenfunctions of conduction through domains with jump interfaces. Applicable Analysis, 2020, 99 (13), pp.2361-2370. ⟨10.1080/00036811.2018.1563292⟩. ⟨hal-01874134⟩
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