Nonequilibrium Problems in Many-Particle Systems

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

  • Authors
  • Leif Arkeryd
  • Pierre-Louis Lions
  • Peter A. Markowich
  • Srinivasa R. S. Varadhan
  • Editors
  • Carlo Cercignani
  • Mario Pulvirenti

Part of the Lecture Notes in Mathematics book series (LNM, volume 1551)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Peter A. Markowich
    Pages 87-111
  3. S. R. S. Varadhan
    Pages 112-145
  4. Back Matter
    Pages 147-148

About this book

Introduction

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.

Keywords

Boltzmann equtionn Entropy methodes Kinetic Theory Many-Particle Systems Nonequilibrium Semiconductor differential equation non-standard analysis

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0090926
  • Copyright Information Springer-Verlag Berlin Heidelberg 1993
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-56945-9
  • Online ISBN 978-3-540-47832-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book