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Nonequilibrium Problems in Many-Particle Systems

Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Monecatini, Italy, June 15-27, 1992

  • Book
  • © 1993

Overview

Authors:
  1. Leif Arkeryd
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  2. Pierre-Louis Lions
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  3. Peter A. Markowich
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  4. Srinivasa R. S. Varadhan
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Editors:
  1. Carlo Cercignani
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  2. Mario Pulvirenti
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1551)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-VII
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  2. Nonequilibrium problems in many-particle systems. An introduction

    • C. Cercignani, M. Pulvirenti
    Pages 1-13

  3. Some examples of NSA methods in kinetic theory

    • L. Arkeryd
    Pages 14-57

  4. Global solutions of kinetic models and related questions

    • P. L. Lions
    Pages 58-86

  5. Kinetic models for semiconductors

    • Peter A. Markowich
    Pages 87-111

  6. Entropy methods in hydrodynamic scaling

    • S. R. S. Varadhan
    Pages 112-145

  7. Back Matter

    Pages 147-148
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Keywords

About this book

This volume contains the text of four sets of lectures delivered at the third session of the Summer School organized by C.I.M.E. (Centro Internazionale Matematico Estivo). These texts are preceded by an introduction written by C. Cercignani and M. Pulvirenti which summarizes the present status in the area of Nonequilibrium Problems in Many-Particle Systems and tries to put the contents of the different sets of lectures in the right perspective, in order to orient the reader. The lectures deal with the global existence of weak solutions for kinetic models and related topics, the basic concepts of non-standard analysis and their application to gas kinetics, the kinetic equations for semiconductors and the entropy methods in the study of hydrodynamic limits. CONTENTS: C. Cercignani, M. Pulvirenti: Nonequilibrium Problems in Many-Particle Systems. An Introduction.- L. Arkeryd: Some Examples of NSA in Kinetic Theory.- P.L. Lions: Global Solutions of Kinetic Models and Related Problems.- P.A. Markowich: Kinetic Models for Semiconductors.- S.R.S. Varadhan: Entropy Methods in Hydrodynamic Scaling.

Bibliographic Information

  • Book Title: Nonequilibrium Problems in Many-Particle Systems

  • Book Subtitle: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Monecatini, Italy, June 15-27, 1992

  • Authors: Leif Arkeryd, Pierre-Louis Lions, Peter A. Markowich, Srinivasa R. S. Varadhan

  • Editors: Carlo Cercignani, Mario Pulvirenti

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0090926

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1993

  • Softcover ISBN: 978-3-540-56945-9Published: 30 August 1993

  • eBook ISBN: 978-3-540-47832-4Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 164

  • Topics: Analysis, Complex Systems, Thermodynamics, Statistical Physics and Dynamical Systems

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