The quantum Child-Langmuir problem
- 1 March 1998
- journal article
- Published by Elsevier in Nonlinear Analysis
- Vol. 31 (5-6) , 629-648
- https://doi.org/10.1016/s0362-546x(97)00429-x
Abstract
No abstract availableKeywords
This publication has 12 references indexed in Scilit:
- The Child-Langmuir law as a model for electron transport in semiconductorsSolid-State Electronics, 1996
- The Child-Langmuir Asymptotics of the Vlasov-Poisson Equation for Cylindrically or Spherically Symmetric Diodes Part 1: Statement of the Problem and Basic EstimatesMathematical Methods in the Applied Sciences, 1996
- The Child–Langmuir Asymptotics of the Vlasov–Poisson Equation for Cylindrically or Spherically Symmetric Diodes Part 2: Analysis of the Reduced Problem and Determination of the Child–Langmuir CurrentMathematical Methods in the Applied Sciences, 1996
- The Child–Langmuir Law for the Boltzmann Equation of SemiconductorsSIAM Journal on Mathematical Analysis, 1995
- On a mathematical model for hot carrier injection in semiconductorsMathematical Methods in the Applied Sciences, 1994
- THE CHILD-LANGMUIR REGIME FOR ELECTRON TRANSPORT IN A PLASMA INCLUDING A BACKGROUND OF POSITIVE IONSMathematical Models and Methods in Applied Sciences, 1994
- Weak solutions of the initial‐boundary value problem for the Vlasov–Poisson systemMathematical Methods in the Applied Sciences, 1994
- Global weak solutions of the Vlasov-Maxwell system with boundary conditionsCommunications in Mathematical Physics, 1993
- An asymptotic analysis of the one-dimensional Vlasov–Poisson system: the Child–Langmuir lawAsymptotic Analysis, 1991
- A boundary‐value problem for the stationary vlasov‐poisson equations: The plane diodeCommunications on Pure and Applied Mathematics, 1990