A model for plasma expansion in vacuum;Un modèle d'expansion de plasma dans le vide

Comptes Rendus Mathematique

Volumn 335, Issue 4, 2002, Pages 399-404

  Degond, Pierre ^a   Parzani, Céline ^a   Vignal, Marie Hélène ^a  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038053119     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02479-2     Document Type: Article

References (8)

1. S. Cordier, E. Grenier, Quasineutral limit of Euler-Poisson system arising from plasma physics, Comm. Partial Differential Equations 25 (5-6) (2000) 1099-1113.
2. P. Degond, The Child-Langmuir law in the kinetic theory of charged-particles. Part 1, Electron flows in vacuum, in: B. Perthame (Ed.), Advances in Kinetic Theory, World Scientific, Singapore, 1994, pp. 3-44.
3. P. Degond, P.F. Peyrard, G. Russo, Ph. Villedieu, Polynomial upwind schemes for hyperbolic systems, C. R. Acad. Sci. Paris 328 (1999) 479-483.
4. P. Degond, P.A. Raviart, An asymptotic analysis of the one-dimensional Vlasov-Poisson system: the Child-Langmuir law, Asymptotic Anal. 4 (1991) 187-214.
5. I. Gasser, L. Hsiao, P.A. Markowich, S. Wang, Quasineutral limit of a nonlinear drift diffusion model for semiconductors, J. Math. Anal. Appl. 268 (2002) 184-199.
6. E. Godlewski, P.A. Raviart, Numerical Approximation of Hyperbolic Systems of Conservation Laws, Springer, 1996.
7. H. Sze, J. Benford, W. Woo, B. Harteneck, Dynamics of a virtual cathode oscillator driven by a pinched diode, Phys. Fluids 29 (11) (1986) 3873-3880.
8. E.F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics, Springer, 1999.