具有变符号系数和界面通量跳跃的传输问题的均匀化

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Communications in Mathematical Sciences Pub Date : 2023-10-09 DOI:10.4310/cms.2023.v21.n7.a13

Renata Bunoiu, Karim Ramdani, Claudia Timofte

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引用次数: 2

摘要

研究了由正负两种材料组成的复合介质中标量问题的均质化问题。一个重要的特征是在它们的振荡界面上存在一个通量跳变。本研究的主要困难是由于变分公式中的变号系数和无符号曲面积分项的出现。为了解决这些困难，采用了反证法(在这种情况下是非标准的)和T矫顽力技术。

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Homogenization of a transmission problem with sign-changing coefficients and interfacial flux jump

We study the homogenization of a scalar problem posed in a composite medium made up of two materials, a positive and a negative one. An important feature is the presence of a flux jump across their oscillating interface. The main difficulties of this study are due to the sign-changing coefficients and the appearance of an unsigned surface integral term in the variational formulation. A proof by contradiction (nonstandard in this context) and T‑coercivity technics are used in order to cope with these difficulties.

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来源期刊

Communications in Mathematical Sciences 数学-应用数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： Covers modern applied mathematics in the fields of modeling, applied and stochastic analyses and numerical computations—on problems that arise in physical, biological, engineering, and financial applications. The journal publishes high-quality, original research articles, reviews, and expository papers.