Two-temperature homogenized eigenfunctions of conduction through domains with jump interfaces

被引：0

作者：

Gruais, Isabelle ^{[1
]}

Polisevski, Dan ^{[2
]}

Stefan, Alina ^{[3
]}

机构：

[1] Univ Rennes, CNRS, IRMAR UMR 6625, Rennes, France

[2] IMAR, Bucharest, Romania

[3] Univ Pitesti, Str Targul Din Vale 1, Pitesti, Romania

来源：

APPLICABLE ANALYSIS | 2020年 / 99卷 / 13期

关键词：

Interfacial jump; conduction; eigenvalue; two-scale convergence; homogenization; HEAT-TRANSFER;

D O I：

10.1080/00036811.2018.1563292

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the asymptotic behavior of the eigenvalue problem solutions of the conduction process in an epsilon-periodic domain formed by two components separated by a first-order jump interface. We prove that when epsilon -> 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.

引用

页码：2361 / 2370

页数：10

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