메뉴 건너뛰기




Volumn 19, Issue 4, 1996, Pages 287-312

The Chlid-Langmuir asymptotics of the Vlasov-Poisson equation for cylindrically or spherically symmetric diodes. Part 1: Statement of the problem and basic estimates

Author keywords

[No Author keywords available]

Indexed keywords

CATHODES; DIODES; ESTIMATION; GEOMETRY; NUMERICAL ANALYSIS; TRANSPORT PROPERTIES;

EID: 0030104999     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1099-1476(19960310)19:4<287::aid-mma774>3.0.co;2-h     Document Type: Article
Times cited : (22)

References (21)
  • 1
    • 0000469206 scopus 로고
    • Problèmes aux limites pour les équations aux dérivées partielles du premier ordre a coefficients réels; théorémes d'approximation; application à l'equation de transport
    • Bardos, C., 'Problèmes aux limites pour les équations aux dérivées partielles du premier ordre a coefficients réels; théorémes d'approximation; application à l'equation de transport', Ann. Scient. Ec. Norm. Sup., 4′ série, 3, 185-233 (1970)
    • (1970) Ann. Scient. Ec. Norm. Sup., 4′ Série , vol.3 , pp. 185-233
    • Bardos, C.1
  • 3
    • 0008997106 scopus 로고
    • Solutions stationnaires du système de Vlasov-Maxwell relativiste
    • Degond, P., 'Solutions stationnaires du système de Vlasov-Maxwell relativiste', C.R. Acad. Sci. Paris, 310, 607-612 (1990).
    • (1990) C.R. Acad. Sci. Paris , vol.310 , pp. 607-612
    • Degond, P.1
  • 4
    • 0037906771 scopus 로고
    • The Child-Langmuir law in the kinetic theory of charged-particles. Part 1, electron flows in vacuum
    • Perthame, B., ed., World Scientific, Singapore
    • Degond, P., 'The Child-Langmuir law in the kinetic theory of charged-particles. Part 1, electron flows in vacuum', in: Advances in Kinetic Theory, Theory and Computation (Perthame, B., ed.), World Scientific, Singapore, 1994.
    • (1994) Advances in Kinetic Theory, Theory and Computation
    • Degond, P.1
  • 5
    • 0030106733 scopus 로고    scopus 로고
    • 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 current
    • Degond, P., Jaffard, S., Poupaud, F. and Raviart, P. A., '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 current', Math. Methods in the Appl. Sci. 19, 313-340 (1996).
    • (1996) Math. Methods in the Appl. Sci. , vol.19 , pp. 313-340
    • Degond, P.1    Jaffard, S.2    Poupaud, F.3    Raviart, P.A.4
  • 7
    • 84974747842 scopus 로고
    • An asymptotic analysis of the one-dimensional Vlasov-Poisson system: The Child-Langmuir law
    • Degond, P. and Raviart, P. A., 'An asymptotic analysis of the one-dimensional Vlasov-Poisson system: the Child-Langmuir law', Asymptotic Anal. 4, 187-214 (1991).
    • (1991) Asymptotic Anal. , vol.4 , pp. 187-214
    • Degond, P.1    Raviart, P.A.2
  • 8
    • 0026944334 scopus 로고
    • On a Penalization of the Child-Langmuir emission condition for the one-dimensional Vlasov-Poisson equation
    • Degond, P. and Raviart, P. A., 'On a Penalization of the Child-Langmuir emission condition for the one-dimensional Vlasov-Poisson equation', Asymptotic Anal. 6, 1-27 (1992).
    • (1992) Asymptotic Anal. , vol.6 , pp. 1-27
    • Degond, P.1    Raviart, P.A.2
  • 11
    • 84990617041 scopus 로고
    • A Boundary Value Problem for the Stationary Vlasov-Poisson equations: The plane diode
    • Greengard, C. and Raviart, P. A., 'A Boundary Value Problem for the Stationary Vlasov-Poisson equations: the plane diode', Comm. Pure Appl. Math., 43, 473-507 (1990).
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 473-507
    • Greengard, C.1    Raviart, P.A.2
  • 14
    • 36149006664 scopus 로고
    • Electrical discharges in gases. Part II. Fundamental Phenomena in electrical discharges
    • Langmuir, I. and Compton, K. T., 'Electrical discharges in gases. Part II. Fundamental Phenomena in electrical discharges', Rev. Mod. Phys., 3, 191-257 (1931).
    • (1931) Rev. Mod. Phys. , vol.3 , pp. 191-257
    • Langmuir, I.1    Compton, K.T.2
  • 15
    • 0343780718 scopus 로고
    • Theory of magnetically insulated electron flows in coaxial pulsed power transmission lines
    • Lawconnell, R. J. and Neri, J., 'Theory of magnetically insulated electron flows in coaxial pulsed power transmission lines', Phys. Fluids, B2, 629-639 (1990).
    • (1990) Phys. Fluids , vol.B2 , pp. 629-639
    • Lawconnell, R.J.1    Neri, J.2
  • 16
    • 0004127511 scopus 로고
    • International Series of monographs on physics No 75, Oxford University Press, Oxfor
    • Lawson, J. D., The physics of charged-particle beams, International Series of monographs on physics No 75, Oxford University Press, Oxfor, 1988.
    • (1988) The Physics of Charged-particle Beams
    • Lawson, J.D.1
  • 17
    • 0000927021 scopus 로고
    • Theory of magnetic insulation
    • Lovelace, R. V. and Ott, E., 'Theory of magnetic insulation', Phys. Fluids, 17, 1263-1268 (1974).
    • (1974) Phys. Fluids , vol.17 , pp. 1263-1268
    • Lovelace, R.V.1    Ott, E.2
  • 18
    • 0002223973 scopus 로고
    • Solutions Stationnaires des Equations de Vlasov-Poisson
    • Poupaud, F., 'Solutions Stationnaires des Equations de Vlasov-Poisson', C. R. Acad. Sci. Paris, 311, 307-312 (1990).
    • (1990) C. R. Acad. Sci. Paris , vol.311 , pp. 307-312
    • Poupaud, F.1
  • 19
    • 0000680861 scopus 로고
    • Boundary value problems for the stationary Vlasov-Maxwell system
    • Poupaud, F., 'Boundary value problems for the stationary Vlasov-Maxwell system', Forum Mathematicum, 4, 499-527 (1992).
    • (1992) Forum Mathematicum , vol.4 , pp. 499-527
    • Poupaud, F.1
  • 21
    • 0023862339 scopus 로고
    • A particle-in-cell method as a tool for diode simulations
    • Weisterman, T., 'A particle-in-cell method as a tool for diode simulations', Nucl. Instruments Methods Phys. Res., A260, 271-279 (1988).
    • (1988) Nucl. Instruments Methods Phys. Res. , vol.A260 , pp. 271-279
    • Weisterman, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.