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

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-09 DOI:10.4310/cms.2023.v21.n7.a13

Renata Bunoiu, Karim Ramdani, Claudia Timofte

引用次数: 2

Abstract

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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具有变符号系数和界面通量跳跃的传输问题的均匀化

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.