Uniform TitleGradient estimates for the conductivity problems
NameBao, ShiTing (author), Li, YanYan (chair), Han, Zheng-Chao (internal member), Vogelius, Michael (internal member), Kang, Hyeonbae (outside member), Rutgers University, Graduate School - New Brunswick,
DescriptionWe establish both upper and lower bounds of the gradient estimates for solutions to the perfect conductivity problem in the case where perfect (stiff) conductors are closely spaced inside an open bounded domain. These results give the optimal blow-up rates of the stress for conductors with arbitrary shape and in all
dimensions. While for solutions to the insulated conductivity problem we also obtain an upper bound of the gradient estimates.
NoteIncludes bibliographical references (p. 69-71).
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.