Solutions to the cold plasma model at resonances

Bruno Despres, Lise Marie Imbert-Gerard, Olivier Lafitte

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Little is known on the mathematical theory of hybrid and cyclotron solutions of Maxwell’s equations with the cold plasma dielectric tensor. These equations arise in magnetized plasmas to model an electromagnetic wave in a Tokamak. The solutions can behave extremely di erently from those in vacuum. This work contributes to the local theory of the hybrid resonance by means of an original representation formula based on special functions, a certain eikonal equation and with a careful treatment of the singularity.

Original languageEnglish (US)
Pages (from-to)177-222
Number of pages46
JournalJournal de l'Ecole Polytechnique - Mathematiques
StatePublished - 2017
Externally publishedYes


  • Cold plasma model
  • Eikonal equation
  • Hybrid resonance
  • Resonant Maxwell’s equations
  • Singular solutions of ODEs

ASJC Scopus subject areas

  • General Mathematics


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