Global solutions to the isothermal Euler-Poisson system for a plasma
Cordier, Stéphane
HAL, hal-00083006 / Harvested from HAL
Text on HAL
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.
Publié le : 1995-07-05
Classification:  Fluid plasma models,  Glimm's method,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00083006,
     author = {Cordier, St\'ephane},
     title = {Global solutions to the isothermal Euler-Poisson system for a plasma},
     journal = {HAL},
     volume = {1995},
     number = {0},
     year = {1995},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00083006}
}

Cordier, Stéphane. Global solutions to the isothermal Euler-Poisson system for a plasma. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-00083006/