The quantum Child-Langmuir problem

Naoufel Ben Abdallah; Pierre Degond; Peter A. Markowich

doi:10.1016/S0362-546X(97)00429-X

The quantum Child-Langmuir problem

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Original language	English (US)
Pages (from-to)	629-648
Number of pages	20
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	31
Issue number	5-6
DOIs	https://doi.org/10.1016/S0362-546X(97)00429-X
State	Published - Mar 1998
Externally published	Yes

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.

Keywords

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

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0362-546X(97)00429-X

Cite this

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title = "The quantum Child-Langmuir problem",

keywords = "Child-Langmuir limit, Current carrying state, Monokinetic flow, Quantum phenomena, Semiclassical limit, Wigner transform",

author = "{Ben Abdallah}, Naoufel and Pierre Degond and Markowich, {Peter A.}",

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.",

year = "1998",

month = mar,

doi = "10.1016/S0362-546X(97)00429-X",

language = "English (US)",

volume = "31",

pages = "629--648",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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publisher = "Elsevier",

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}

TY - JOUR

T1 - The quantum Child-Langmuir problem

AU - Ben Abdallah, Naoufel

AU - Degond, Pierre

AU - Markowich, Peter A.

N1 - 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.

PY - 1998/3

Y1 - 1998/3

KW - Child-Langmuir limit

KW - Current carrying state

KW - Monokinetic flow

KW - Quantum phenomena

KW - Semiclassical limit

KW - Wigner transform

UR - http://www.scopus.com/inward/record.url?scp=0032013228&partnerID=8YFLogxK

U2 - 10.1016/S0362-546X(97)00429-X

DO - 10.1016/S0362-546X(97)00429-X

M3 - Article

AN - SCOPUS:0032013228

SN - 0362-546X

VL - 31

SP - 629

EP - 648

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5-6

ER -

The quantum Child-Langmuir problem

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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