Event Detail

Event Type: 
Applied Mathematics and Computation Seminar
Friday, February 16, 2007 - 04:00
Gilkey 113

Speaker Info

Lousiana State University

We investigate local field behavior inside random two-phase media. Over the years a major part of the research work has focused on characterizing the effective transport properties for statistically defined microgeometries. In this lecture we depart from this trend and present new developments that characterize local field behavior inside random composites. Here we present new lower bounds on all higher order moments of local fields inside random media. The bounds are given in terms of the available statistical information describing the microstructure. We show that these bounds are the best possible as they are attained by by several different classes of microstructures including coated confocal ellipsoids, coated spheres, and layered microstructures.