Free Access
Issue
ESAIM: M2AN
Volume 32, Number 1, 1998
Page(s) 1 - 23
DOI https://doi.org/10.1051/m2an/1998320100011
Published online 27 January 2017
  1. N. BEN ABDALLAH, S. MAS-GALLIC, P.-A. RAVIART, 1995, Analysis and asymptotics of a one dimensional ion extraction model, Asymp. Analysis, Vol. 10, p. 1-28. [MR: 1319009] [Zbl: 0829.76096] [Google Scholar]
  2. B. BODIN, 1995, Thèse de l'école Polytechnique, CMAP. [Google Scholar]
  3. F. CHEN, 1974, « Introduction to Plasmas Physics », Plenum Press, New York, 1974. [Google Scholar]
  4. S. CORDIER, 1995, Global solutions to the isothermal Euler-Poisson system with arbitrary large data for a plasma, Appl. Math. Lett., Vol. 8, n° 1, p 19-24. [MR: 1355145] [Zbl: 0817.76102] [Google Scholar]
  5. S. CORDIER, P. DEGOND , P. MARKOWICH, C. SCHMEISER, 1995, Travelling Wave analysis for Isothermal Euler-Poisson Model of a Plasma, Annales de la Faculté des Sciences de Toulouse, Vol. V, N° 4, p 599-645. [EuDML: 73397] [MR: 1473076] [Zbl: 0884.35126] [Google Scholar]
  6. S. CORDIER, E. GRENIER, 1996, Quasineutral limit of Euler-Poisson systems, prépublication du Laboratoire d'analyse numérique, université Paris 6, N° 96030. [Google Scholar]
  7. J. L. DELCROIX, A. BEERS, 1994, Physique des Plasmas, CNRS Editions. [Google Scholar]
  8. S. FABRE, 1995, Étude de l'équation de Poisson couplée à la relation de Boltzmann dans RN et quasi neutralité. Note aux comptes rendus de l'académie des sciences, t. 320, Série I, p. 45-48. [MR: 1320829] [Zbl: 0831.76099] [Google Scholar]
  9. J. GLIMM, 1965, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure. Appl. Math., 18 : 698-715. [MR: 194770] [Zbl: 0141.28902] [Google Scholar]
  10. F. GLOSE, R. SENTIS, 1993, Analyse asymptotique de l'équation de Poisson couplée à la relation de Boltzmann. Quasineutralité des plasmas, rapport CEA. [Google Scholar]
  11. E. GRENIER, 1994, Oscillations in quasineutral plasmas, Comm. PDE, Vol. 31, p 361-394, 1996. [MR: 1387452] [Zbl: 0849.35107] [Google Scholar]
  12. P. LE FLOCH, 1990, The random choice method applied to the quasilinear hyperbolic systems, R.I. CMAP 218, École polytechnique. [Google Scholar]
  13. P. H. MAIRE, 1994, Ionisation dans un écoulement aérodynamique, Note C.E.A. 2774. [Google Scholar]
  14. P. MARCATI, R. NATALINI, 1995, Weak solutions to a hydrodynamic model for semiconductors : the Cauchy problem, Proc. Roy. Soc. Edimburg, Sect. A, 125, p. 115-131. [MR: 1318626] [Zbl: 0831.35157] [Google Scholar]
  15. P. A. MARKOWICH, C. A. RINGHOFFER, C. SCHMEISER, 1986, An asymptotic analysis of one dimensional semiconductor devices, IMA, J. Applied Math., 37, pp. 1-24. [MR: 983515] [Zbl: 0639.34016] [Google Scholar]
  16. S. MAS-GALLIC, P. A. RAVIART, 1994, Mathematical models of ion extraction and plasma sheaths, G.d.R. S.PAR.CH. 11, Ecole Polytechnique, Palaiseau, France. [MR: 1323181] [Zbl: 0863.76095] [Google Scholar]
  17. T. NISHIDA, 1968, Global solutions for an initial boundary value problem of a quasilinear hyperbolic system, Japan. Acad., 44 : 642-646, 1968. [MR: 236526] [Zbl: 0167.10301] [Google Scholar]
  18. F. POUPAUD, M. RASCLE, J. P. VILA, 1994, Global solutions to the isothermal Euler-Poisson system with arbitrary large data, Jal of Diff. Eq. 1995, p. 93-121, Vol. 123. [MR: 1359913] [Zbl: 0845.35123] [Google Scholar]
  19. C. SCHMEISER, 1993, Personnal communication. [Google Scholar]
  20. SMOLLER, 1987, Shock waves and reaction diffusion equations, Grundlehren in Mathematisschen Wissenschaft, Springer Verlag, no 258. [Zbl: 0807.35002] [Google Scholar]

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