A hierarchy of diffusion models for partially ionized plasmas

Isabelle Choquet; Pierre Degond; Brigitte Lucquin-Desreux

doi:10.3934/dcdsb.2007.8.735

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2007, Volume 8, Issue 4: 735-772. Doi: 10.3934/dcdsb.2007.8.735

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A hierarchy of diffusion models for partially ionized plasmas

1.
Department of Technology, Mathematics, and Computer Science, University West, Gärdhemsvägen 4, 461 39 Trollhättan
2.
Mathématiques pour l'Industrie et la Physique, CNRS UMR 5640, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex 4
3.
Laboratoire Jacques-Louis Lions, CNRS UMR 7598, Université Pierre et Marie Curie-Paris 6, 4 Place Jussieu, 75252 Paris Cedex 05

Received: September 30, 2006

Revised: June 30, 2007

Published: October 2007

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Abstract

Partially ionized plasmas corresponding to different ionization degrees are derived and connected one with each other by the diffusion approximation methodology. These plasmas are the following electrical discharges: a thermal arc discharge, glow discharges in local thermodynamic equilibrium -LTE- and in non-LTE, and a non-LTE glow discharge interacting with an electron beam (or flow).

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Mathematics Subject Classification: 41A60, 76P05, 76X05, 82B40, 82C05, 82C70, 82D10.

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