Ben Abdallah, Naoufel; Mas-Gallic, Sylvie; Raviart, Pierre-Arnaud Analysis and asymptotics of a one-dimensional ion extraction model. (English) Zbl 0829.76096 Asymptotic Anal. 10, No. 1, 1-28 (1995). Summary: A one-dimensional model for ion extraction from a plasma is investigated. The analysis is made using by a singular perturbation of the transport equations based on the smallness of the Debye length and the thermal voltage. The convergence of the perturbed problems to a limit problem, where a “free surface” appears, is proved (in one dimension the free surface reduces to a single point). The analysis is first done for finite temperature ions. For cold ions, the analysis can be carried out further: a boundary layer lying at the free surface is exhibited and analyzed. Cited in 2 Documents MSC: 76X05 Ionized gas flow in electromagnetic fields; plasmic flow 82D10 Statistical mechanics of plasmas Keywords:free surface; singular perturbation; transport equations; Debye length; thermal voltage; convergence; finite temperature ions; cold ions; boundary layer PDF BibTeX XML Cite \textit{N. Ben Abdallah} et al., Asymptotic Anal. 10, No. 1, 1--28 (1995; Zbl 0829.76096) OpenURL