Decomposition theorems and fine estimates for electrical fields in the presence of closely located circular inclusions

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dc.contributor.authorAmmari, Habibko
dc.contributor.author(Kang, Hyeonbaeko
dc.contributor.authorLee, Hyundaeko
dc.contributor.authorLim, Mikyoungko
dc.contributor.authorZribi, Habibko
dc.date.accessioned2013-03-09T22:33:31Z-
dc.date.available2013-03-09T22:33:31Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2009-12-
dc.identifier.citationJOURNAL OF DIFFERENTIAL EQUATIONS, v.247, no.11, pp.2897 - 2912-
dc.identifier.issn0022-0396-
dc.identifier.urihttp://hdl.handle.net/10203/97674-
dc.description.abstractWhen two inclusions get closer and their conductivities degenerate to zero or infinity, the gradient of the solution to the conductivity equation blows up in general. In this paper, we show that the solution to the conductivity equation can be decomposed into two parts in an explicit form: one of them has a bounded gradient and the gradient of the other part blows Lip. Using the decomposition. we derive the best possible estimates for the blow-up of the gradient. We then consider the case when the inclusions have positive permittivities. We show quantitatively that in this case the size of the blow-up is reduced. (C) 2009 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subjectCONDUCTIVITY PROBLEM-
dc.subjectFIBER COMPOSITES-
dc.subjectSTRESSES-
dc.titleDecomposition theorems and fine estimates for electrical fields in the presence of closely located circular inclusions-
dc.typeArticle-
dc.identifier.wosid000271209000001-
dc.identifier.scopusid2-s2.0-70349217918-
dc.type.rimsART-
dc.citation.volume247-
dc.citation.issue11-
dc.citation.beginningpage2897-
dc.citation.endingpage2912-
dc.citation.publicationnameJOURNAL OF DIFFERENTIAL EQUATIONS-
dc.identifier.doi10.1016/j.jde.2009.08.005-
dc.contributor.localauthorLim, Mikyoung-
dc.contributor.nonIdAuthorAmmari, Habib-
dc.contributor.nonIdAuthor(Kang, Hyeonbae-
dc.contributor.nonIdAuthorLee, Hyundae-
dc.contributor.nonIdAuthorZribi, Habib-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorConductivity problem-
dc.subject.keywordAuthorGradient estimates-
dc.subject.keywordAuthorDecomposition-
dc.subject.keywordAuthorExtreme conductivity-
dc.subject.keywordAuthorBlow-up-
dc.subject.keywordAuthorPermittivity-
dc.subject.keywordPlusCONDUCTIVITY PROBLEM-
dc.subject.keywordPlusFIBER COMPOSITES-
dc.subject.keywordPlusSTRESSES-
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