**Fields Institute Communications**

Volume: 46;
2005;
312 pp;
Hardcover

MSC: Primary 82; 76;

Print ISBN: 978-0-8218-3723-8

Product Code: FIC/46

List Price: $126.00

Individual Member Price: $100.80

**Electronic ISBN: 978-1-4704-3080-1
Product Code: FIC/46.E**

List Price: $126.00

Individual Member Price: $100.80

# Topics in Kinetic Theory

Share this page *Edited by *
*Thierry Passot; Catherine Sulem; Pierre-Louis Sulem*

A co-publication of the AMS and Fields Institute

This book covers a variety of topics related to kinetic theory in neutral gases and magnetized plasmas, with extensions to other systems such as quantum plasmas and granular flows. A comprehensive presentation is given for the Boltzmann equations and other kinetic equations for a neutral gas, together with the derivations of compressible and incompressible fluid dynamical systems, and their rigorous justification. Several contributions are devoted to collisionless magnetized plasmas. Rigorous results concerning the well-posedness of the Vlasov-Maxwell system are presented. Special interest is devoted to asymptotic regimes where the scales of variation of the electromagnetic field are clearly separated from those associated with the gyromotion of the particles. This volume collects lectures given at the Short Course and Workshop on Kinetic Theory organized at the Fields Institute of Mathematical Sciences in Toronto during the Spring of 2004.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

#### Readership

Graduate students interested in physics and applied mathematics and research mathematicians interested in kinetic theory of dilute gases and magnetized plasmas.

# Table of Contents

## Topics in Kinetic Theory

- Cover Cover11
- Title page iii4
- Contents v6
- Preface vii8
- Hydrodynamic limits of kinetic models 110
- Collisionless plasmas and the Vlasov Maxwell system 7786
- Irreversible behaviours in Vlasov equation and many-body Hamiltonian dynamics: Landau damping, chaos and granularity 8998
- Introduction to the guiding center theory 109118
- Variational formulations of exact and reduced Vlasov-Maxwell equations 151160
- A short introduction to general gyrokinetic theory 171180
- Introduction to gyrokinetic theory with applications in magnetic confinement research in plasma physics 193202
- From kinetic to fluid descriptions of plasmas 213222
- Nonlocal closures in long mean free path regimes 243252
- How to model quantum plasmas 263272
- Inelastic kinetic theory: The granular gas 289298
- Back Cover Back Cover1322