S. Cordier, HYPERBOLICITY OF THE HYDRODYNAMIC MODEL OF PLASMAS UNDER THE QUASI-NEUTRALITY HYPOTHESIS, Mathematical methods in the applied sciences, 18(8), 1995, pp. 627-647
Collisionless and quasi-neutral hydrodynamic model of plasmas consisti
ng of electrons and several species of ions are investigated. When two
species of ions are considered, the hyperbolicity of the system of tr
ansport equations obtained in the quasi-neutrality limit leads to a re
striction on the magnitude of the admissible relative velocities.