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Article Dans Une Revue Journal de l'École polytechnique — Mathématiques Année : 2017

Singular solutions for the plasma at the resonance

Résumé

Little is known on the mathematical theory of hybrid and cyclotron solutions of the Maxwell equations with the cold plasma dielectric tensor. Such equations arise in magnetic plasmas such the ones needed for the modeling the an electromagnetic wave in Tokamaks. The behavior of solutions can be extremely different to those in vacuum. This work intends to contribute to the local theory by means of original representation formulas based on special functions and a certain eikonal equation, and with a careful treatment of the singularity for the hybrid resonance.
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Dates et versions

hal-01097364 , version 1 (19-12-2014)

Identifiants

  • HAL Id : hal-01097364 , version 1

Citer

Bruno Després, Lise-Marie Imbert-Gérard, Olivier Lafitte. Singular solutions for the plasma at the resonance. Journal de l'École polytechnique — Mathématiques, 2017. ⟨hal-01097364⟩
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