Gradient Estimates for the Perfect Conductivity Problem

被引：105

作者：

Bao, Ellen Shiting ^{[1
]}

Li, Yan Yan ^{[2
]}

Yin, Biao ^{[1
]}

机构：

[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2009年 / 193卷 / 01期

关键词：

FIBER COMPOSITES; ELECTRIC-FIELD;

D O I：

10.1007/s00205-008-0159-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish both upper and lower bounds of the gradient estimates for the perfect conductivity problem in the case where perfect (stiff) conductors are closely spaced inside an open bounded domain and away from the boundary. These results give the optimal blow-up rates of the stress for conductors with arbitrary shape and in all dimensions.

引用

页码：195 / 226

页数：32

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