Gradient Estimates for the Perfect Conductivity Problem

Gradient Estimates for the Perfect Conductivity Problem

This paper concerns optimal gradient estimates of solutions for the perfect conductivity problem with closely spaced interfacial boundaries. The problem arises from composite material. Our estimates exhibit different blow up rates of the gradients, as the distance between the inclusions goes to zero...

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Veröffentlicht in:arXiv.org 2006-12
Hauptverfasser: Bao, Ellen Shiting, Li, YanYan, Yin, Biao
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Composite materials
Estimates
Inclusions
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description This paper concerns optimal gradient estimates of solutions for the perfect conductivity problem with closely spaced interfacial boundaries. The problem arises from composite material. Our estimates exhibit different blow up rates of the gradients, as the distance between the inclusions goes to zero, in dimensions n=2, n=3 and n\ge 4, which become higher as dimensions increase.
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subjects Composite materials
Estimates
Inclusions
title Gradient Estimates for the Perfect Conductivity Problem
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