Two-stream instabilities in plasmas

Stéphane Cordier (1) , Emmanuel Grenier (2) , Yan Guo (3)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
2 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées
3 The division of Applied Mathematics [Providence]

It is well known that two streams of charged steady fluids with different constant speeds are linearly unstable. It is shown in this article that they are indeed nonlinearly unstable in a dynamic setting.

Domaines: Equations aux dérivées partielles [math.AP]

Stéphane Cordier, Emmanuel Grenier, Yan Guo. Two-stream instabilities in plasmas. Methods and Applications of Analysis, 2000, 2, pp.391-405. ⟨hal-00077227⟩