Hyperbolicity of the hydrodynamical model of plasmas under the quasineutrality hypothesis

Stéphane Cordier (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

Collisionless and quasi-neutral hydrodynamic model of plasmas consisting of electrons and several species of ions are investigated. When two species of ions are considered, the hyperbolicity of the system of transport equations obtained in the quasi-neutrality limit leads to a restriction on the magnitude of the admissible relative velocities.

Domaines: Equations aux dérivées partielles [math.AP]

Stéphane Cordier. Hyperbolicity of the hydrodynamical model of plasmas under the quasineutrality hypothesis. Mathematical Models and Methods in Applied Sciences, 1995, vol 18, pp.627-647. ⟨hal-00082797⟩