Global solutions to the isothermal Euler-Poisson system for a plasma

Stéphane Cordier (1)

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

Global existence of a solution to the system of isothermal 1-D Euler equations for electrons and ions coupled by the Poisson equation is proved using Glimm's scheme as Poupaud, Rascle, and Vila in the semiconductor context. The key point is the use of the almost conservation of charge for estimating the total variation of the electric field.

Mots clés: Fluid plasma models; Glimm's method

Domaines: Equations aux dérivées partielles [math.AP]

Stéphane Cordier. Global solutions to the isothermal Euler-Poisson system for a plasma. Applied Mathematics Letters, 1995, vol 8 n° 1, pp.19-24. ⟨hal-00083006⟩