Geodesic
Numerical models of steady-state and pulsating flows of self-ionizing gas in plasma accelerator channels
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 8, pp. 1405-1416

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This paper continues the series of numerical investigations of self-ionizing gas flows in plasma accelerator channels with an azimuthal magnetic field. The mathematical model is based on the equations of dynamics of a three-component continuous medium consisting of atoms, ions, and electrons; the model is supplemented with the equation of ionization and recombination kinetics within the diffusion approximation with account for photoionization and photorecombination. It also takes into account heat exchange, which in this case is caused by radiative heat conductance. Upon a short history of the issue, the proposed model, numerical methods, and results for steady-state and pulsating flows are described. 
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     author = {K. V. Brushlinskii and A. N. Kozlov and V. S. Konovalov},
     title = {Numerical models of steady-state and pulsating flows of self-ionizing gas in plasma accelerator channels},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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K. V. Brushlinskii; A. N. Kozlov; V. S. Konovalov. Numerical models of steady-state and pulsating flows of self-ionizing gas in plasma accelerator channels. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 8, pp. 1405-1416. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_8_a11/