Mathematics in Industrial Problems: Part 9

ISBN-13: 9781441928573 / Angielski / Miękka / 2010 / 210 str.

Avner Friedman

Opis

This is the 9th volume in Avner Friedman's collection of Mathematics in Industrial problems. This book aims to foster interaction between industry and mathematics at the "grass roots" level of specific problems. The problems presented in this book arise from models developed by industrial scientists engaged in research and development of new or improved products. The topics explored in this volume include diffusion in porous media and in rubber/glass transition, coating flows, solvation of molecules, semiconductor processing, optoelectronics, photographic images, density-functional theory, sphere packing, performance evaluation, causal networks, electrical well logging, general positioning system, sensor management, pursuit-evasion algorithms, and nonlinear viscoelasticity. Open problems and references are incorporated into most of the chapters. The final chapter contains some solutions to problems raised in earlier volumes.

Spis treści

Contents: Sphere packing problems: from the obvious to the puzzling.- The value of performance improvements at constant price/performance.- A diffusion model of droplet absorption.- Information theory and sensor management.- Problems and applications in density-functional theory.- Nonlinear diffusion in coating flows.- A mini-max pursuit evasion algorithm.- Formation of photographic images.- Convective-diffusive lattice-gas models for flow under shear.- Multi-scale problems in modelling semiconductor processing equipment.- Mathematical modeling needs in optoelectronics.- Modeling solvation properties of molecules.- Mathematical problems in high-precision interferometric GPS.- Questions about the Poisson equation in semiconductor problems.- Causal modeling in diagnosing complex industrial equipment.- Mathematical problems in electrical well logging.