ASYMPTOTIC ANALYSIS OF AN ION EXTRACTION MODEL

被引：0
|
作者：
BENABDALLAH, N [1 ]
MASGALLIC, S [1 ]
RAVIART, PA [1 ]
机构：
[1] ENS CACHAN,CMLA,F-94235 CACHAN,FRANCE
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1993年 / 316卷 / 08期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this Note, a simple model for ion extraction from a plasma is analysed The order of magnitude of the plasma parameters leads to a singular perturbation problem for a semilinear elliptic equation. We first prove existence of solutions for the perturbed problem and uniqueness under certain conditions. Then we prove the convergence of these solutions, when the parameters go to zero, towards the solution of a Child-Langmuir problem.
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页码：779 / 783
页数：5
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