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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.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Gradient estimates for the conductivity problems and the systems of elasticity./
作者:	Yin, Biao.
面頁冊數:	93 p.
附註:	Source: Dissertation Abstracts International, Volume: 70-12, Section: B, page: 7608.
Contained By:	Dissertation Abstracts International70-12B.
標題:	Applied Mathematics. -
電子資源:	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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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.
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