The Child-Langmuir asymptotics for magnetized flows

被引:0
|
作者
Ben Abdallah, N
Degond, P
Méhats, F
机构
[1] Univ Toulouse 3, Lab CNRS UMR 5640, MIP, F-31062 Toulouse, France
[2] Ecole Polytech, URA CNRS 756, Ctr Math Appl, F-91128 Palaiseau, France
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The Child-Langmuir asymptotics of the so-called 1.5-dimensional Vlasov-Maxwell, modelling cross field diodes, is investigated. A set of limit problems including magnetically insulated and noninsulated regimes are exhibited and analyzed. The solutions of the Vlasov-Maxwell system are shown to converge towards a solution of the limiting problem.
引用
收藏
页码:97 / 132
页数:36
相关论文
共 50 条
  • [11] CHILD-LANGMUIR LAW IN RELATIVISTIC REGIME
    YADAVALLI, SV
    BOLLEN, RL
    NUCLEAR INSTRUMENTS & METHODS, 1969, 75 (02): : 229 - +
  • [12] QUANTUM EXTENSION OF CHILD-LANGMUIR LAW
    LAU, YY
    CHERNIN, D
    COLOMBANT, DG
    HO, PT
    PHYSICAL REVIEW LETTERS, 1991, 66 (11) : 1446 - 1449
  • [13] Revised generalized Child-Langmuir law
    Jelic, N
    Schrittwieser, R
    Kuhn, S
    PHYSICS LETTERS A, 1998, 246 (3-4) : 318 - 324
  • [14] The Child-Langmuir law in the quantum domain
    Biswas, Debabrata
    Kumar, Raghwendra
    EPL, 2013, 102 (05)
  • [15] Boundary conditions for the Child-Langmuir sheath model
    Benilov, MS
    IEEE TRANSACTIONS ON PLASMA SCIENCE, 2000, 28 (06) : 2207 - 2213
  • [16] Two-dimensional Child-Langmuir law
    Luginsland, JW
    Lau, YY
    Gilgenbach, RM
    PHYSICAL REVIEW LETTERS, 1996, 77 (22) : 4668 - 4670
  • [17] Child-Langmuir law in the Coulomb blockade regime
    Zhu, Yingbin
    Ang, L. K.
    APPLIED PHYSICS LETTERS, 2011, 98 (05)
  • [18] The Child-Langmuir limit for semiconductors:: A numerical validation
    Cáceres, MJ
    Carrillo, JA
    Degond, P
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2002, 36 (06): : 1161 - 1176
  • [19] Improved Numerical Algorithms for Child-Langmuir Emission
    Nelson, Eric M.
    Jensen, Aaron J.
    Petillo, John J.
    Ovtchinnikov, Serguei
    Chernin, David P.
    IVEC 2021: 2021 22ND INTERNATIONAL VACUUM ELECTRONICS CONFERENCE, 2021,
  • [20] On the Child-Langmuir law in one, two, and three dimensions
    Lau, Y. Y.
    Li, Dion
    Chernin, David P.
    PHYSICS OF PLASMAS, 2023, 30 (09)