@article{AFST_1996_6_5_4_599_0, author = {Cordier, S. and Degond, P. and Markowich, P. and Schmeiser, C.}, title = {Travelling wave analysis of an isothermal {Euler-Poisson} model}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {599--643}, publisher = {Universit\'e Paul Sabatier}, address = {Toulouse}, volume = {Ser. 6, 5}, number = {4}, year = {1996}, mrnumber = {1473076}, zbl = {0884.35126}, language = {en}, url = {http://www.numdam.org/item/AFST_1996_6_5_4_599_0/} }
TY - JOUR AU - Cordier, S. AU - Degond, P. AU - Markowich, P. AU - Schmeiser, C. TI - Travelling wave analysis of an isothermal Euler-Poisson model JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1996 SP - 599 EP - 643 VL - 5 IS - 4 PB - Université Paul Sabatier PP - Toulouse UR - http://www.numdam.org/item/AFST_1996_6_5_4_599_0/ LA - en ID - AFST_1996_6_5_4_599_0 ER -
%0 Journal Article %A Cordier, S. %A Degond, P. %A Markowich, P. %A Schmeiser, C. %T Travelling wave analysis of an isothermal Euler-Poisson model %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1996 %P 599-643 %V 5 %N 4 %I Université Paul Sabatier %C Toulouse %U http://www.numdam.org/item/AFST_1996_6_5_4_599_0/ %G en %F AFST_1996_6_5_4_599_0
Cordier, S.; Degond, P.; Markowich, P.; Schmeiser, C. Travelling wave analysis of an isothermal Euler-Poisson model. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 5 (1996) no. 4, pp. 599-643. http://www.numdam.org/item/AFST_1996_6_5_4_599_0/
[1] A phase plane analysis of transonic solutions for the hydrodynamic semiconductor model, Math. Models and Methods in Appl. Sci., Vol. 1, n° 3 (1991), pp. 347-376. | MR | Zbl
), ), ) and ) .-[2] Travelling wave analysis and jump relations for Euler-Poisson model in the quasineutral limit, Asymptotic Analysis 11 (1995), pp. 209-240. | MR | Zbl
), ), ) and ). -[3] On a one dimensional steady state model for semiconductors, Appl. Math. Lett. 3 (1989), pp. 25-29. | MR | Zbl
) and ) .-[4] A Vlasov-Poisson type formulation of the Euler equations, rapport I.N.R.I.A. 1070 (1989).
) .-[5] Mesures de défaut de Vlasov-Poisson dans le régime de quasineutralité: le cas indépendant du temps, Note aux C.R. Acad. Sci. Paris (Série I), 318 (1994), pp. 121-124. | MR | Zbl
) and ) . -[6] Quasineutralité des plasmas, C.R. Acad. Sci. Paris (Série 1), 321 (1995), p. 953. | MR | Zbl
), ) and ) .-[7] Semiconductors equations, Springer-Verlag, Wien, 1990. | MR | Zbl
), ) and ) .-[8] Shock waves in collisionless plasmas, Wiley-Interscience, 1971.
) and ) .-[9] Introduction to plasma physics, Plenum Press, 1977.
) .-[10] Hyperbolicity of multispecies hydrodynamic model of plasma under the Quasineutrality hypothesis, Math. Models and Methods in Appl. Sci., 18 (1995), pp. 627-647. | MR | Zbl
) .-[11] Hyperbolic systems of conservation laws, Ellipses, 1991. | MR | Zbl
) and ) .-[12] Modélisation mathématique et simulation numérique du plasma magnétosphérique, Thèse, Ecole Normale Supérieure de Cachan (1994). Modélisation et Analyse Numérique (1994).
) . -[13] Shock waves and reaction diffusion equations, Grundlehren der mathematischen Wissenschaften, Springer-Verlag 258 (1983). | MR | Zbl
) .-[14] Definition and weak stability of nonconservative product, J. Math. Pures et Appliquées, 74 (1995), pp. 483-548. | MR | Zbl
), ) and ), .-[15] Analyse asymptotique d'un modèle d'émission d'ions, C.R. Acad. Sci. Paris (Série I), 316 (1993), pp. 779-783. | MR | Zbl
), ) and ) .-[16] On steady states in a collisionless plasma, Comm. in Pure and Applied Math., to appear. | MR | Zbl
) and ) .-