Modern Mathematical Methods in Transport Theory

ISBN-13: 9783034856775 / Angielski / Miękka / 2014 / 330 str.

Shergill Greenberg;Polewczak; Shergill Greenberg

Opis

The Eleventh International Transport Theory Conference and Symposium in honor of the sixty-fifth birthday of Kenneth Case and the sixtieth birthday of Paul Zweifel was held in Blacksburg, Virginia, during May 22-26, 1989, on the campus of Virginia Polytechnic Institute and State University (Virginia Tech). This volume consists of a selection of the invited papers delivered at the Conference, and represents a cross section of the research currently being carried out in the field of transport theory. The volume is divided into two sections. The Symposium lectures are intended each to summarize an important aspect of transport theory, as well as to present timely new results of the author's research interest. The Conference lectures are contributions of each author on his current research. As has been the custom in this series of conferences, each lecturer was invited to participate by the organizing committee of the Conference: W. Greenberg, Virginia Tech, chairman; V. Boffi, Universita di Firenze; N. Corngold, California Institute of Technology; B. Ganapol, University of Arizona; N. McCormick, University of Washington; P. Nelson, Texas Tech; G. Pomraning, University of California, Los Angeles. The Eleventh International Transport Theory Conference was funded by generous con- tributions from Science Applications International Corporation, R. Beyster, president, and from Virginia Polytechnic Institute and State University. Conference participants, and, we believe, researchers in this and related areas, are indebted to these organizations. We would like to thank Lamberto Rondoni, in the graduate program at Virginia Tech, for proofreading manuscripts of all the Italian contributors.

Spis treści

Analytical and Semi-analytical Methods in Transport Theory.- Analytical and Semi-analytical Methods in Transport Theory.- Symposium Lectures.- Case’s Method and Linearized Kinetic Theory.- The Wiener-Hopf Method for the Transport Equation: a Finite Dimensional Version.- Transport Acceleration Methods as Two-Level Multigrid Algorithms.- Transport Theory: the View from China.- Conference Lectures.- Application of Transport Theory to Infra-Red Medical Imaging.- Stationary Nonmaxwellian Problems in Extended Kinetic Theory.- What Do Neutron Transport and “Jell-O” Have in Common?.- Amplitude Equations on Unstable Manifolds: singular behavior from neutral modes.- A Numerical Study of the Existence of BGK Modes Near a Maxwellian Equilibrium.- A Cauchy Integral Equation Method for Half-Space Convolution Equations.- Long Time Behaviour of Particle Swarms in Runaway Regime.- Radiative Transfer in a Dense Plant Canopy without Azimuthal Symmetry.- Nonlinear but Small Amplitude Longitudinal Plasma Waves.- Models of Energy Exchange in Polyatomic Gases.- Analytic Solution of the Model Boltzmann Equation with the Collision Operator of Compound Type.- Asymptotic Limits of a Statistical Transport Description.- Inverse Radiative Transfer Algorithms for Estimating a Particle Size Distribution.- Analysis by the Operator Interpolation Method of an Initial-Boundary Value Problem for the Semidiscrete Boltzmann Equation.- Particle Transport in a Moving Medium: Kinetic Theory vs. Diffusion Theory.- The Linear Boltzmann Equation with General Boundary Conditions and Infinite Range Forces.- A Unified Approach to Initial Value Problems for the Generalized Enskog Equation.- Diffusion Theory via Asymptotics.- Projectional Solution of a Single F-Transformed Integral Equation.- An Example of a Reaction-Diffusion System with Nonlinear Competitive Interactions.- Extended Kinetic Equations for Gas Mixtures.- A Modified Linear Discontinuous Spatial Discretization Method in Planar Geometry.- Criticality and Critical Size for Transport Systems.- Forty Years of Transport Theory: Kenneth Case and Paul Zweifel.