Accession Number : ADA140512

Title :   Annual Report on Grant AFOSR-80-0228.

Descriptive Note : Rept. for 1 Aug 82-31 Oct 83,

Corporate Author : NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s) : Papanicolaou,G C

PDF Url : ADA140512

Report Date : 31 Oct 1983

Pagination or Media Count : 15

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)

Descriptors :   *Mathematics, *Research management, Schrodinger equation, Numerical analysis, Electric fields, Dielectrics, Composite materials, Bonding, Percolation

Subject Categories : Administration and Management
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE