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Quasi-neutral limit and the initial layer problem of the drift-diffusion model

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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… Click to show full abstract

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.

Keywords: neutral limit; initial layer; limit initial; quasi neutral

Journal Title: Acta Mathematica Scientia
Year Published: 2020

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