Global solutions to the isothermal Euler-Poisson plasma model Original Research Article

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 Glimmʹs 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.