Optimal estimates for the electric field in two dimensions
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Ammari, H | ko |
| dc.contributor.author | Kang, H | ko |
| dc.contributor.author | Lee, H | ko |
| dc.contributor.author | Lee, J | ko |
| dc.contributor.author | Lim, Mikyoung | ko |
| dc.date.accessioned | 2013-03-07T16:36:13Z | - |
| dc.date.available | 2013-03-07T16:36:13Z | - |
| dc.date.created | 2012-02-06 | - |
| dc.date.created | 2012-02-06 | - |
| dc.date.issued | 2007-10 | - |
| dc.identifier.citation | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v.88, no.4, pp.307 - 324 | - |
| dc.identifier.issn | 0021-7824 | - |
| dc.identifier.uri | http://hdl.handle.net/10203/90692 | - |
| dc.description.abstract | We establish both upper and lower bounds on the electric field in the case where two circular conductivity inclusions are very close but not touching. We also obtain such bounds when a circular inclusion is very close to the boundary of a circular domain which contains the inclusion. The novelty of these estimates, which improve and make complete our earlier results in [H. Ammari, H. Kang, M. Lim, Gradient estimates for solutions to the conductivity problem, Math. Ann. 332 (2005) 277-286], is that they give an optimal information about the blow-up of the electric field as the conductivities of the inclusions degenerate. (C) 2007 Elsevier Masson SAS. All rights reserved. | - |
| dc.language | English | - |
| dc.publisher | GAUTHIER-VILLARS/EDITIONS ELSEVIER | - |
| dc.subject | CONDUCTIVITY PROBLEM | - |
| dc.subject | FIBER COMPOSITES | - |
| dc.subject | REGULARITY | - |
| dc.subject | STRESSES | - |
| dc.title | Optimal estimates for the electric field in two dimensions | - |
| dc.type | Article | - |
| dc.identifier.wosid | 000254679100001 | - |
| dc.identifier.scopusid | 2-s2.0-34848897835 | - |
| dc.type.rims | ART | - |
| dc.citation.volume | 88 | - |
| dc.citation.issue | 4 | - |
| dc.citation.beginningpage | 307 | - |
| dc.citation.endingpage | 324 | - |
| dc.citation.publicationname | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | - |
| dc.identifier.doi | 10.1016/j.matpur.2007.07.005 | - |
| dc.contributor.localauthor | Lim, Mikyoung | - |
| dc.contributor.nonIdAuthor | Ammari, H | - |
| dc.contributor.nonIdAuthor | Kang, H | - |
| dc.contributor.nonIdAuthor | Lee, H | - |
| dc.contributor.nonIdAuthor | Lee, J | - |
| dc.type.journalArticle | Article | - |
| dc.subject.keywordAuthor | conductivity problem | - |
| dc.subject.keywordAuthor | gradient estimates | - |
| dc.subject.keywordAuthor | electric field | - |
| dc.subject.keywordAuthor | extreme conductivities | - |
| dc.subject.keywordAuthor | blow-up | - |
| dc.subject.keywordPlus | CONDUCTIVITY PROBLEM | - |
| dc.subject.keywordPlus | FIBER COMPOSITES | - |
| dc.subject.keywordPlus | REGULARITY | - |
| dc.subject.keywordPlus | STRESSES | - |
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