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

来源：

ASYMPTOTIC ANALYSIS | 1999年 / 20卷 / 02期

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

页码：97 / 132

页数：36

共 50 条

[1] Child-Langmuir asymptotics for magnetized flows
Abdallah, Naoufel Ben
Degond, Pierre
Mehats, Florian
Asymptotic Analysis, 20 (02): : 97 - 132
[2] Child-Langmuir asymptotics applied to a bipolar diode
Ecole Polytechnique, Palaiseau, France
Math Methods Appl Sci, 12 (1115-1148):
[3] The Child-Langmuir asymptotics applied to a bipolar diode
Mehats, F
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1998, 21 (12) : 1115 - 1148
[4] Convergence of the Child-Langmuir Asymptotics of the Boltzmann Equation of Semiconductors
SIAM News, 1 (92):
[5] The Child-Langmuir asymptotics for semiconductors including phonon interactions
Degond, P
Qiu, Y
COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 1997, 16 (03) : 157 - +
[6] Convergence of the Child-Langmuir asymptotics of the Boltzmann equation of semiconductors
BenAbdallah, N
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (01) : 92 - 109
[7] The quantum Child-Langmuir problem
Ben Abdallah, N
Degond, P
Markowich, PA
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 31 (5-6) : 629 - 648
[8] Child-Langmuir law for photoinjectors
Shamuilov, Georgii
Mak, Alan
Pepitone, Kevin
Goryashko, Vitaliy
APPLIED PHYSICS LETTERS, 2018, 113 (20)
[9] Beyond the Child-Langmuir limit
Caflisch, R. E.
Rosin, M. S.
PHYSICAL REVIEW E, 2012, 85 (05):
[10] The Child-Langmuir asymptotics of the Vlasov-Poisson equation for cylindrically or spherically symmetric diodes .2. Analysis of the reduced problem and determination of the Child-Langmuir current
Degond, P
Jaffard, S
Poupaud, F
Raviart, PA
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1996, 19 (04) : 313 - 340

← 1 2 3 4 5 →