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Modern Mathematical Methods in Transport Theory

  • Book
  • © 1991

Overview

Editors:
  1. William Greenberg

    1. Department of Mathematics, Virginia Tech, Blacksburg, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Jacek Polewczak

    1. Dept. of Chemistry and Dept. of Applied Mathematics, SUNY, Stony Brook, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Operator Theory: Advances and Applications (OT, volume 51)

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Table of contents (29 chapters)

  1. Front Matter

    Pages I-IX
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  2. Analytical and Semi-analytical Methods in Transport Theory

    1. Analytical and Semi-analytical Methods in Transport Theory

      • W. Greenberg
      Pages 1-5

  3. Symposium Lectures

    1. Front Matter

      Pages 6-6
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    2. Case’s Method and Linearized Kinetic Theory

      • Carlo Cercignani
      Pages 7-19

    3. The Wiener-Hopf Method for the Transport Equation: a Finite Dimensional Version

      • I. Gohberg, M. A. Kaashoek
      Pages 20-33

    4. Transport Acceleration Methods as Two-Level Multigrid Algorithms

      • Edward W. Larsen
      Pages 34-47

    5. Transport Theory: the View from China

      • Yang Mingzhu
      Pages 48-62

  4. Conference Lectures

    1. Front Matter

      Pages 63-63
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    2. Application of Transport Theory to Infra-Red Medical Imaging

      • Raphael Aronson, Randall L. Barbour, Jack Lubowsky, Harry Graber
      Pages 64-75

    3. Stationary Nonmaxwellian Problems in Extended Kinetic Theory

      • V. C. Boffi, A. Rossani
      Pages 76-88

    4. What Do Neutron Transport and “Jell-O” Have in Common?

      • Noel R. Corngold, Michael M. R. Williams
      Pages 89-96

    5. Amplitude Equations on Unstable Manifolds: singular behavior from neutral modes

      • John David Crawford
      Pages 97-108

    6. A Numerical Study of the Existence of BGK Modes Near a Maxwellian Equilibrium

      • L. Demeio
      Pages 109-120

    7. A Cauchy Integral Equation Method for Half-Space Convolution Equations

      • H. Frisch
      Pages 121-130

    8. Long Time Behaviour of Particle Swarms in Runaway Regime

      • Luisa Arlotti, Giovanni Frosali
      Pages 131-143

    9. Radiative Transfer in a Dense Plant Canopy without Azimuthal Symmetry

      • B. D. Ganapol
      Pages 144-154

    10. Nonlinear but Small Amplitude Longitudinal Plasma Waves

      • James Paul Holloway, J. J. Dorning
      Pages 155-179

    11. Models of Energy Exchange in Polyatomic Gases

      • Ivan Kuščer
      Pages 180-188

    12. Analytic Solution of the Model Boltzmann Equation with the Collision Operator of Compound Type

      • A. V. Latyshev, M. N. Gajdukov, I. M. Spitkovski
      Pages 189-199

    13. Asymptotic Limits of a Statistical Transport Description

      • F. Malvagi, C. D. Levermore, G. C. Pomraning
      Pages 200-207
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, Virginia Tech, Blacksburg, USA

    William Greenberg

  • Dept. of Chemistry and Dept. of Applied Mathematics, SUNY, Stony Brook, USA

    Jacek Polewczak

Bibliographic Information

  • Book Title: Modern Mathematical Methods in Transport Theory

  • Editors: William Greenberg, Jacek Polewczak

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-5675-1

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1991

  • Softcover ISBN: 978-3-0348-5677-5Published: 23 August 2014

  • eBook ISBN: 978-3-0348-5675-1Published: 22 November 2013

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: IX, 330

  • Number of Illustrations: 88 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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