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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 1990 Volume 30, Number 8, Pages 1201–1209 (Mi zvmmf3219)

The structure of the boundary layer of the plasma of the positive column of a glow discharge in electronegative gases

A. Ya. Voronov

Moscow

Abstract: 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.

UDC: 517.958:537.812

MSC: 76X05

Received: 27.09.1989


 English version:
USSR Computational Mathematics and Mathematical Physics, 1990, 30:4, 165–171

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