Asymptotic analysis of kinetic equations for modeling a Schottky diode

Asymptotic Analysis

Volumn 13, Issue 1, 1996, Pages 79-94

  Degond, P ^a   Poupaud, F ^b   Schmeiser, C ^c   Yamnahakki, A ^b  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

^b UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

^c VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1542709508     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: 10.3233/asy-1996-13103     Document Type: Article

References (10)

1. N. Ben Abdellah and P. Degond, The Child-Langmuir law for the Boltzmann equation of semiconductors, SIAM J. Math. Anal. 26 (1995), 364-398.
2. H. Brezis, Analyse Fonctionnelle, Théorie et Applications, Masson, Paris, 1983.
3. P. Degond, The Child-Langmuir law in the kinetic theory of charged particles, I. Electron flows in vacuum, in: B. Perthame, ed., Advances in Kinetic Theory and Computing, World Sci., Singapore, 1995.
4. P. Degond, S. Jaffard, F. Poupaud and P.A. Raviart, The Child-Langmuir asymptotics of the Vlasov-Poisson system for cylindrically and spherically symmetric diodes. Math. Meth. Appl. Sci. 19 (1996), 287-340.
5. P. Degond, F. Poupaud and A. Yamnahakki, Particle simulation and asymptotic analysis of Boltzmann equation for modeling a Schottky diode, Model. Math. Anal. Num., to appear.
6. P. Degond and P.A. Raviart, An asymptotic analysis of the one-dimensional Vlasov-Poisson system, the Child-Langmuir law, Asymptotic Analysis 4 (1991), 187-214.
7. A. Friedman, Variational Principles and Free Boundary Problems, Wiley, New York, Chichester, Brisbane, 1982.
8. O.A. Ladyzenskaja and N.N. Uralćeva, Linear and Quasilinear Elliptic Equations, Academic Press, New York, 1968.
9. F. Poupaud, Boundary value problems for the stationary Vlasov-Maxwell systems, Forum Mathematicum 4 (1992), 499-527.
10. S.M. Sze, Physics of Semiconductor Devices, Wiley, New York, 2nd edn, 1981.