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Gradient estimates for the conductivity problems and the systems of elasticity
Descriptive
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Text
TitleInfo
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Title
Gradient estimates for the conductivity problems and the systems of elasticity
SubTitle
PartName
PartNumber
NonSort
Identifier
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ETD_2017
Identifier
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http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051925
Language
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eng
Genre
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theses
Subject
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(authority = RUETD)
Topic
Mathematics
Subject
(ID = SBJ-2);
(authority = ETD-LCSH)
Topic
Nonlinear theories
Subject
(ID = SBJ-3);
(authority = ETD-LCSH)
Topic
Differential equations, Elliptic
Abstract
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.
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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electronic resource
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vii, 86 p.
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Note
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Ph.D.
Note
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Includes bibliographical references (p. 84-85)
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by Biao Yin
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Yin
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Biao
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1981-
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author
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Biao Yin
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Li
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YanYan
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chair
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YanYan Li
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Han
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Zheng-Chao
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internal member
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Zheng-Chao Han
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Vogelius
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Michael
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Michael Vogelius
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Kang
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Hyeonbae
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outside member
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Advisory Committee
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Hyeonbae Kang
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Rutgers University
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Graduate School - New Brunswick
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school
OriginInfo
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2009
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2009-10
Place
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xx
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Rutgers University Electronic Theses and Dissertations
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ETD
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Title
Graduate School - New Brunswick Electronic Theses and Dissertations
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rucore19991600001
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doi:10.7282/T39K4BDS
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ETD doctoral
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Rights
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The author owns the copyright to this work
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Copyright protected
Notice
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Open
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Permission or license
Note
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Yin
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Biao
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Biao Yin
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Rutgers University. Graduate School - New Brunswick
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Author Agreement License
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I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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ETD
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application/pdf
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application/x-tar
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450560
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