Multi-Scale Paraxial Models to Approximate Vlasov-Maxwell Equations

Franck Assous, Yevgeni Furman

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Even today, solving numerically the time-dependent Vlasov-Maxwell equations is a challenging issue, and developing simpler but accurate approximate models is still worthwhile. Here, we propose a new family of paraxial asymptotic models that approximates the Vlasov-Maxwell system of equations. We introduce parameters in our models that allow us to handle relativistic cases, much slower beams or even non-relativistic cases. These models are derived by introducing a small parameter and provide static or quasi-static approximate equations that are n-Th order accurate; may be chosen as required. Practically, one can select a model by determining the regime one is interested in and choosing the degree of accuracy needed.

Original languageEnglish
Pages (from-to)277-295
Number of pages19
JournalComputational Methods in Applied Mathematics
Issue number2
StatePublished - 1 Apr 2022
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2022 Walter de Gruyter GmbH, Berlin/Boston.


  • Asymptotic Methods
  • Paraxial Model
  • Vlasov-Maxwell Equations


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