Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media

Q2 Mathematics

Transactions of the Moscow Mathematical Society Pub Date : 2018-05-02 DOI:10.1090/mosc/291

K. Cherednichenko, Yulia Ershova, A. Kiselev, S. Naboko

引用次数: 19

Abstract

A novel approach to critical-contrast homogenisation is proposed. Norm-resolvent asymptotics are explicitly constructed. An essential feature of our approach is that it relates homogenisation limits to a class of time-dispersive media.

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与时间分散介质有明确联系的临界对比度均匀化的统一方法

提出了一种新的临界对比度均匀化方法。范数预解渐近是显式构造的。我们方法的一个基本特征是，它将均匀化极限与一类时间分散介质联系起来。

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

Transactions of the Moscow Mathematical Society Mathematics-Mathematics (miscellaneous)

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期刊介绍： This journal, a translation of Trudy Moskovskogo Matematicheskogo Obshchestva, contains the results of original research in pure mathematics.