@article{M2AN_1998__32_1_1_0,
author = {Cordier, St\'ephane and Peng, Yue-Jun},
title = {Syst\`eme Euler-Poisson non lin\'eaire. Existence globale de solutions faibles entropiques},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {32},
year = {1998},
pages = {1-23},
mrnumber = {1619591},
zbl = {0935.35119},
language = {fr},
url = {http://dml.mathdoc.fr/item/M2AN_1998__32_1_1_0}
}
Cordier, Stéphane; Peng, Yue-Jun. Système Euler-Poisson non linéaire. Existence globale de solutions faibles entropiques. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 32 (1998) pp. 1-23. http://gdmltest.u-ga.fr/item/M2AN_1998__32_1_1_0/
[1] , , , 1995, Analysis and asymptotics of a one dimensional ion extraction model, Asymp. Analysis, Vol. 10, p. 1-28. | MR 1319009 | Zbl 0829.76096
[2] , 1995, Thèse de l'école Polytechnique, CMAP.
[3] , 1974, « Introduction to Plasmas Physics », Plenum Press, New York, 1974.
[4] , 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
[5] , , , 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. | Numdam | MR 1473076 | Zbl 0884.35126
[6] , , 1996, Quasineutral limit of Euler-Poisson systems, prépublication du Laboratoire d'analyse numérique, université Paris 6, N° 96030.
[7] , , 1994, Physique des Plasmas, CNRS Editions.
[8] , 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
[9] , 1965, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure. Appl. Math., 18 : 698-715. | MR 194770 | Zbl 0141.28902
[10] , , 1993, Analyse asymptotique de l'équation de Poisson couplée à la relation de Boltzmann. Quasineutralité des plasmas, rapport CEA.
[11] , 1994, Oscillations in quasineutral plasmas, Comm. PDE, Vol. 31, p 361-394, 1996. | MR 1387452 | Zbl 0849.35107
[12] , 1990, The random choice method applied to the quasilinear hyperbolic systems, R.I. CMAP 218, École polytechnique.
[13] , 1994, Ionisation dans un écoulement aérodynamique, Note C.E.A. 2774.
[14] , , 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
[15] , , , 1986, An asymptotic analysis of one dimensional semiconductor devices, IMA, J. Applied Math., 37, pp. 1-24. | MR 983515 | Zbl 0639.34016
[16] , , 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
[17] , 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
[18] , , , 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
[19] , 1993, Personnal communication.
[20] , 1987, Shock waves and reaction diffusion equations, Grundlehren in Mathematisschen Wissenschaft, Springer Verlag, no 258. | Zbl 0807.35002