Nonresonant velocity averaging and the Vlasov-Maxwell system

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

The Vlasov equation governs the number density in single-particle phase space of a large particle system (typically a rarefied ionized gas or plasma), subject to some external force field (for instance the Lorentz force acting on charged particles). Most importantly, collisions between particles are neglected in the Vlasov equation, unlike the case of the Boltzmann equation. Hence the only possible source of nonlinearity in the Vlasov equation for charged particles is the self-consistent electromagnetic field created by charges in motion: each particle is subject to the electromagnetic field created by all the particles other than itself.

Original languageEnglish
Title of host publicationModeling and Simulation in Science, Engineering and Technology
PublisherSpringer Basel
Pages39-52
Number of pages14
Edition9780817644895
DOIs
Publication statusPublished - 1 Jan 2007
Externally publishedYes

Publication series

NameModeling and Simulation in Science, Engineering and Technology
Number9780817644895
ISSN (Print)2164-3679
ISSN (Electronic)2164-3725

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