Uniform asymptotic expansion of the voltage potential in the presence of thin inhomogeneities with arbitrary conductivity

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• 作者：Charles Dapogny ; Michael S. Vogelius
• 关键词：Uniform asymptotic expansions ; Conductivity problem ; Thin inhomogeneities
• 刊名：Chinese Annals of Mathematics, Series B
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：38
• 期：1
• 页码：293-344
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general; Applications of Mathematics;
• 出版者：Springer Berlin Heidelberg
• ISSN：1860-6261
• 卷排序：38

文摘

Asymptotic expansions of the voltage potential in terms of the “radius” of a diametrically small (or several diametrically small) material inhomogeneity(ies) are by now quite well-known. Such asymptotic expansions for diametrically small inhomogeneities are uniform with respect to the conductivity of the inhomogeneities.