In this article we study quasi-neutral limit and the initial layer problem of the drift-diffusion model. Different from others studies, we consider the physical case that the mobilities of the charges are different. The quasi-neutral limit with an initial layer structure is rigorously proved by using the weighted energy method coupled with multi-scaling asymptotic expansions.
Shu WANG
,
Limin JIANG
. QUASI-NEUTRAL LIMIT AND THE INITIAL LAYER PROBLEM OF THE DRIFT-DIFFUSION MODEL[J]. Acta mathematica scientia, Series B, 2020
, 40(4)
: 1152
-1170
.
DOI: 10.1007/s10473-020-0419-8
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