Gradient estimates for the perfect conductivity problem

Ellen Shiting Bao; Yan Yan Li; Biao Yin

doi:10.1007/s00205-008-0159-8

Gradient estimates for the perfect conductivity problem

Ellen Shiting Bao, Yan Yan Li, Biao Yin

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

71 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	195-226
Number of pages	32
Journal	Archive For Rational Mechanics And Analysis
Volume	193
Issue number	1
DOIs	https://doi.org/10.1007/s00205-008-0159-8
State	Published - Jul 2009

All Science Journal Classification (ASJC) codes

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

Access to Document

10.1007/s00205-008-0159-8

Cite this

@article{0d64dbe4c03747c19e6fc3fb5fdf40f8,

title = "Gradient estimates for the perfect conductivity problem",

abstract = "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.",

author = "Bao, {Ellen Shiting} and Li, {Yan Yan} and Biao Yin",

year = "2009",

month = jul,

doi = "10.1007/s00205-008-0159-8",

language = "English (US)",

volume = "193",

pages = "195--226",

journal = "Archive For Rational Mechanics And Analysis",

issn = "0003-9527",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Gradient estimates for the perfect conductivity problem

AU - Bao, Ellen Shiting

AU - Li, Yan Yan

AU - Yin, Biao

PY - 2009/7

Y1 - 2009/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=67349125892&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67349125892&partnerID=8YFLogxK

U2 - 10.1007/s00205-008-0159-8

DO - 10.1007/s00205-008-0159-8

M3 - Article

AN - SCOPUS:67349125892

SN - 0003-9527

VL - 193

SP - 195

EP - 226

JO - Archive For Rational Mechanics And Analysis

JF - Archive For Rational Mechanics And Analysis

IS - 1

ER -

Gradient estimates for the perfect conductivity problem

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this