The quantum Child-Langmuir problem

Naoufel Ben Abdallah*, Pierre Degond, Peter A. Markowich

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations
Original languageEnglish (US)
Pages (from-to)629-648
Number of pages20
JournalNonlinear Analysis, Theory, Methods and Applications
Issue number5-6
StatePublished - Mar 1998

Bibliographical note

Funding Information:
t This work has been supported by the "Human Capital and Mobility" project #ERBCHRXCT 930413 entitled "Nonlinear spatio-temporal structures in semiconductors, fluids and oscillator ensembles" funded by the EC, by the Groupement de Recherches "SPARCH" of the CNRS, France, by the bilateral cooperation project Procope #96123 funded by the DAAD-APAPE and by the project "Analysis und Numerik yon Kinetischen Quantentransportmodellen" funded by the DFG under the contract number MA 1662/I-I.


  • Child-Langmuir limit
  • Current carrying state
  • Monokinetic flow
  • Quantum phenomena
  • Semiclassical limit
  • Wigner transform

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this