@article{M2AN_1996__30_5_575_0, author = {Ben Abdallah, Naoufel and Unterreiter, Andreas}, title = {Stationary voltage current characteristics of a plasma}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {575--605}, publisher = {AFCET - Gauthier-Villars}, address = {Paris}, volume = {30}, number = {5}, year = {1996}, mrnumber = {1411392}, zbl = {0865.76100}, language = {en}, url = {http://www.numdam.org/item/M2AN_1996__30_5_575_0/} }
TY - JOUR AU - Ben Abdallah, Naoufel AU - Unterreiter, Andreas TI - Stationary voltage current characteristics of a plasma JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1996 SP - 575 EP - 605 VL - 30 IS - 5 PB - AFCET - Gauthier-Villars PP - Paris UR - http://www.numdam.org/item/M2AN_1996__30_5_575_0/ LA - en ID - M2AN_1996__30_5_575_0 ER -
%0 Journal Article %A Ben Abdallah, Naoufel %A Unterreiter, Andreas %T Stationary voltage current characteristics of a plasma %J ESAIM: Modélisation mathématique et analyse numérique %D 1996 %P 575-605 %V 30 %N 5 %I AFCET - Gauthier-Villars %C Paris %U http://www.numdam.org/item/M2AN_1996__30_5_575_0/ %G en %F M2AN_1996__30_5_575_0
Ben Abdallah, Naoufel; Unterreiter, Andreas. Stationary voltage current characteristics of a plasma. ESAIM: Modélisation mathématique et analyse numérique, Tome 30 (1996) no. 5, pp. 575-605. http://www.numdam.org/item/M2AN_1996__30_5_575_0/
[1] Global Existence for the Vlasov-Poisson Equation in 3 Space with Small Initial Data, Ann. Inst. Henri Poincaré, Analyse non linéaire, 2(2), pp.101-118. | Numdam | MR | Zbl
and , 1985,[2] Some Families of Solutions of the Vlasov-Poisson System, Arch. Rat. Mech. Anal, 104(1), pp. 79-103. | MR | Zbl
, , and , 1988,[3] The Child-Langmuir Regime for Electron Transport in a Plasma Including a Background Density of Positive Ions, M3 AS, 4(3), pp, 409-438. | MR
, 1994,[4] Étude de modèles asymptotiques de transport de particules chargées : Asymptotique de Child-Langmuir, PhD thesis, Centre de Mathématiques Appliquées, École Polytechnique, F-91128 Palaiseau Cedex.
, 1994,[5] On a Mathematical Model for Hot Carrier Injection in Semiconductors, M2 AS, 17, pp.1193-1212. | MR | Zbl
, and , 1994,[6] An Asymptotic Analysis of the One Dimensional Vlasov-Poisson System : the Child-Langmuir Law, Asymptotic Analysis, 4, pp.187-214. | MR | Zbl
and , 1991,[7] The Child-Langmuir Asymptotics of the Vlasov-Poisson Equation for Cylindrically or Spherically Symmetrie Diodes, Part 1 : Statement of the Problem and Basic Estimates. Technical Report 264, CMAP, École Polytechnique, F-91128 Palaiseau Cedex, 1992. | Zbl
, , , .[8] On Symmetrie Solutions of the Relativistic Vlasov-Poisson System, Comm. Math. Phys., 101, pp. 459-473. | MR | Zbl
and , 1985,[9] Global Existence for the Relativistic Vlasov-Maxwell System with Nearly Neutral Initial Data, Comm. Math. Phys., 119, pp. 353-384. | MR | Zbl
and , 1988,[10] Singularity Formation in a Collisionless Plasma Could Occur Only at High Velocities, Arch. Rat. Mech. Anal, 92(1), pp. 59-90. | MR | Zbl
and ,[11] Absence of Shocks in an Initially Dilute Collisionless Plasma, Comm. Math. Phys., 113, pp. 191-208. | MR | Zbl
and , 1987,[12] A Boundary Value Probiem for the Stationary Vlasov-Poisson Equations : the Plane Diode, Comm. Pure. Appl. Math., 43, pp. 473-507. | MR | Zbl
and , 1990,[13] Charged Particle Beams, John Wiley & Sons.
, 1990,[14] Lehrbuch der theoretischen Physik. Teil 2. Klassische Feldtheorie, Akademie Verlag, Berlin, l0th edition. | MR
and , 1987,[15] Absolute Continuity on Tracks and Mappings of Sobolev Spaces, Arch. Rat. Mech. Anal., pp. 294-320. | MR | Zbl
and , 1972,[16] Global Weak Solutions of Vlasov-Maxwell Systems, Comm. Pure Appl. Math., 42, pp. 729-757. | MR | Zbl
and , 1989,[17] Boundary Value Problems for the Stationary Vlasov-Maxwell systems, Forum Mathematicum, 4, pp. 499-527. | EuDML | MR | Zbl
, 1992, , 1989,