The structure of the boundary layer of the plasma of the positive column of a glow discharge in electronegative gases
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 8, pp. 1201-1209 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The first non-zero terms in the asymptotic expansion of the solution of a non-linear singularly perturbed two-point boundary-value problem which represents a mathematical model of an infinitely long glow discharge which is homogeneous along its axis of the stationary positive column we obtained. It is assumed that the discharge is created in an electronegative gas, that it has a cylindrical form and is in a diffuse state. An analysis of the structure of the boundary layer of the plasma of this discharge is carried out. Numerical estimates are presented.
@article{ZVMMF_1990_30_8_a7,
     author = {A. Ya. Voronov},
     title = {The structure of the boundary layer of the plasma of the positive column of a~glow discharge in electronegative gases},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1201--1209},
     year = {1990},
     volume = {30},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_8_a7/}
}
TY  - JOUR
AU  - A. Ya. Voronov
TI  - The structure of the boundary layer of the plasma of the positive column of a glow discharge in electronegative gases
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1990
SP  - 1201
EP  - 1209
VL  - 30
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_8_a7/
LA  - ru
ID  - ZVMMF_1990_30_8_a7
ER  - 
%0 Journal Article
%A A. Ya. Voronov
%T The structure of the boundary layer of the plasma of the positive column of a glow discharge in electronegative gases
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1990
%P 1201-1209
%V 30
%N 8
%U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_8_a7/
%G ru
%F ZVMMF_1990_30_8_a7
A. Ya. Voronov. The structure of the boundary layer of the plasma of the positive column of a glow discharge in electronegative gases. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 8, pp. 1201-1209. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_8_a7/

[1] Chekmarev I. B., “Matematicheskie metody gidrodinamiki chastichno ionizovannogo gaza”, Itogi nauki i tekhn. Ser. Mekhan. zhidkosti i gaza, 14, VINITI, M., 1981, 66–126

[2] Khapaev M. M., Sholin G. V., “Analiz gidrodinamicheskikh uravnenii plazmy metodom teorii singulyarno vozmuschennykh sistem”, Dokl. AN SSSR, 286:3 (1985), 602–605

[3] Khapaev M. M., Sholin G. V., “O singulyarno vozmuschennykh sistemakh, soderzhaschikh osobye mnogoobraziya”, Dokl. AN SSSR, 287:1 (1986), 99–103 | MR

[4] Voronov A. Ya., “O strukture pogranichnogo sloya plazmy polozhitelnogo stolba tleyuschego razryada”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1988, no. 3, 101–108

[5] Smirnov A. S., Frolov K. S., “Issledovanie tleyuschego razryada v elektrootritsatelnykh gazakh s pomoschyu otkrytogo SVCh rezonatora”, Zh. tekhn. fiz., 58:10 (1988), 1878–1884

[6] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973 | MR

[7] Vasileva A. B., Butuzov V. F., Singulyarno vozmuschennye uravneniya v kriticheskikh sluchayakh, Izd-vo MGU, M., 1978 | MR