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Gradient estimates for the conductiv...

Yin, Biao.

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Gradient estimates for the conductivity problems and the systems of elasticity.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Gradient estimates for the conductivity problems and the systems of elasticity./
Author:	Yin, Biao.
Description:	93 p.
Notes:	Source: Dissertation Abstracts International, Volume: 70-12, Section: B, page: 7608.
Contained By:	Dissertation Abstracts International70-12B.
Subject:	Applied Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3386827
ISBN:	9781109525304

Gradient estimates for the conductivity problems and the systems of elasticity.
Yin, Biao.

Gradient estimates for the conductivity problems and the systems of elasticity. - 93 p.

Source: Dissertation Abstracts International, Volume: 70-12, Section: B, page: 7608.

Thesis (Ph.D.)--Rutgers The State University of New Jersey - New Brunswick, 2009.

We investigate the high stress concentration in stiff fiber-reinforced composites. By the anti-plane shear model, this problem can be transferred into the conductivity problems with multiple inclusions. Here we consider the extreme cases, i.e. the perfect and insulated conductivity problems. We obtain the optimal blow-up rates of the gradient in the perfect conductivity problems and an upper bound of the gradient in the insulated conductivity problems. We also study the related problems in elliptic systems including systems of elasticity and obtain some partial results.

ISBN: 9781109525304Subjects--Topical Terms:

1669109
Applied Mathematics.

Gradient estimates for the conductivity problems and the systems of elasticity.
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008 130515s2009 ||||||||||||||||| ||eng d
020 $a 9781109525304
035 $a (UMI)AAI3386827
035 $a AAI3386827
040 $a UMI $c UMI
100 1 $a Yin, Biao. $3 1669359
245 1 0 $a Gradient estimates for the conductivity problems and the systems of elasticity.
300 $a 93 p.
500 $a Source: Dissertation Abstracts International, Volume: 70-12, Section: B, page: 7608.
500 $a Adviser: Yan Yan Li.
502 $a Thesis (Ph.D.)--Rutgers The State University of New Jersey - New Brunswick, 2009.
520 $a We investigate the high stress concentration in stiff fiber-reinforced composites. By the anti-plane shear model, this problem can be transferred into the conductivity problems with multiple inclusions. Here we consider the extreme cases, i.e. the perfect and insulated conductivity problems. We obtain the optimal blow-up rates of the gradient in the perfect conductivity problems and an upper bound of the gradient in the insulated conductivity problems. We also study the related problems in elliptic systems including systems of elasticity and obtain some partial results.
590 $a School code: 0190.
650 4 $a Applied Mathematics. $3 1669109
650 4 $a Mathematics. $3 515831
650 4 $a Engineering, Materials Science. $3 1017759
690 $a 0364
690 $a 0405
690 $a 0794
710 2 $a Rutgers The State University of New Jersey - New Brunswick. $b Graduate School - New Brunswick. $3 1019196
773 0 $t Dissertation Abstracts International $g 70-12B.
790 1 0 $a Li, Yan Yan, $e advisor
790 $a 0190
791 $a Ph.D.
792 $a 2009
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3386827