Kinetic and fluid aspects of gas discharges
Author:
A. Nouri
Journal:
Quart. Appl. Math. 56 (1998), 147-155
MSC:
Primary 76X05; Secondary 35Q35, 76P05, 82D10
DOI:
https://doi.org/10.1090/qam/1604821
MathSciNet review:
MR1604821
Full-text PDF Free Access
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Abstract: Gas discharges are investigated in two levels: the kinetic one, where a stationary electron distribution is determined, and the fluid one, where use of the small mobility of ions with respect to the mobility of electrons leads to a simplified model and a boundary layer analysis.
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J. P. Boeuf and L. C. Pitchford, Pseudospark discharges via computer simulation, IEEE Transactions on Plasma Science, Vol. 19, No. 2, 1991, pp. 286–296
J. P. Boeuf and P. Belenguer, Fundamental properties of RF glow discharges: an approach based on self-consistent numerical models, Nonequilibrium Processes in Partially Ionized Gases, Plenum Press, New York, 1990
H. Gajewski, On existence, uniqueness and asymptotic behavior of solutions of the basic equations for carrier transport in semiconductors, Z. Angew. Math. Mech. 65, 101–108 (1985)
F. Golse, P. L. Lions, B. Perthame, and R. Sentis, Regularity of the moments of the solution of a transport equation, J. Funct. Anal. 76, 110–125 (1988)
N. Krall and A. W. Trivelpiece, Principles of Plasma Physics, McGraw-Hill, 1973
J. L. Lions, Quelques méthodes de résolution de problèmes aux limites non linéaires, Paris, Dunod; Gauthier-Villars, 1969
M. S. Mock, An initial value problem for semiconductor device theory, SIAM J. Math Anal. 5, 597–612 (1974)
A. Nouri and F. Poupaud, Stationary solutions of boundary value problems for Maxwell Boltzmann system modelling degenerate semi-conductors, SIAM J. Math. Anal. 26, 1143–1156 (1995)
Y. P. Raizer, Gas Discharge Physics, Springer-Verlag, 1991
P. Segur and J. Lerouvillois-Gaillard, Inelastic collision integral approximation of Boltzmann equation, J. Plasma Physics 16, 1–15 (1976)
T. I. Seidman and G. M. Troianiello, Time-dependent solutions of a nonlinear system arising in semiconductor theory, Nonlinear Analysis, Theory, Methods and Applications, Vol. 9, No. 11, 1985, pp. 1137–1157
T. I. Seidman, Time-dependent solutions of a nonlinear system arising in semiconductor theory-II. Boundedness and periodicity, Nonlinear Analysis, Theory, Methods and Applications, Vol. 10, No. 5, 1986, pp. 491–502
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Article copyright:
© Copyright 1998
American Mathematical Society
