Abstract
Abstract : During this period the four investigators (two are graduate students) produced five papers and two lecture note series. Titles include, Bounds for effective parameters of heterogeneous media by analytic continuation, Gaussian beams and representation of the Greens function, Convection of microstructure, Diffusive behavior of a random walk in a random medium, Random wave processes, and two lecture note series, Diffusions and random walks in random media, and Macroscopic properties of composites, bubbly fluids, suspensions, and related problems. Work continues on algorithm design for and numerical study of the focusing singularity in nonlinear beams. Work also continues on the modeling of flows with microstructure. This report summarizes progress in these areas during the inclusive dates. (Author)
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