Hydrodynamic Limits of the Boltzmann Equation

  • Laure┬áSaint-Raymond

Part of the Lecture Notes in Mathematics book series (LNM, volume 1971)

Table of contents

  1. Front Matter
    Pages 1-10
  2. Laure Saint-Raymond
    Pages 1-11
  3. Laure Saint-Raymond
    Pages 1-42
  4. Laure Saint-Raymond
    Pages 1-42
  5. Laure Saint-Raymond
    Pages 1-6
  6. Back Matter
    Pages 1-25

About this book

Introduction

The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics.
Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation which are only assumed to satisfy the estimates coming from physics, namely some bounds on mass, energy and entropy.

Keywords

Boltzmann equation dynamics hydrodynamic limits moment method relative entropy method

Authors and affiliations

  • Laure┬áSaint-Raymond

There are no affiliations available

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-92847-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-92846-1
  • Online ISBN 978-3-540-92847-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book