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Gradient estimates for the conductivity problems and the systems of elasticity
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Yin, Biao. Gradient estimates for the conductivity problems and the systems of elasticity. Retrieved from https://doi.org/doi:10.7282/T39K4BDS

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TitleGradient estimates for the conductivity problems and the systems of elasticity
NameYin, Biao (author); Li, YanYan (chair); Han, Zheng-Chao (internal member); Vogelius, Michael (internal member); Kang, Hyeonbae (outside member); Rutgers University; Graduate School - New Brunswick
Date Created
Other Date2009-10 (degree)
SubjectMathematics, Nonlinear theories, Differential equations, Elliptic
Extentvii, 86 p.
DescriptionWe 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.
NotePh.D.
NoteIncludes bibliographical references (p. 84-85)
Noteby Biao Yin
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/T39K4BDS
Languageeng
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work
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