A new paraxial asymptotic model for the relativistic Vlasov-Maxwell equations

Franck Assous, J. Chaskalovic

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We introduce a new paraxial asymptotic model to approximate the Vlasov-Maxwell equations. This formulation is fourth order accurate in a parameter η which denotes the ratio between the transverse characteristic velocity of the beam and the speed of light. The model is interesting because it is simpler than the complete Vlasov-Maxwell equations, and is an accurate approximation of them. This model should give an accurate, fast and easy to implement numerical method of solution.

Original languageEnglish
Pages (from-to)706-714
Number of pages9
JournalComptes Rendus - Mecanique
Volume340
Issue number10
DOIs
StatePublished - Oct 2012

Keywords

  • Asymptotic analysis
  • Computational fluid mechanics
  • Paraxial model
  • Vlasov-Maxwell equations

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