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The initial time layer problem and the quasineutral limit in a nonlinear drift diffusion model for semiconductors. (English) Zbl 0980.35158
Summary: The limit of vanishing Debye length in a nonlinear bipolar drift diffusion model for semiconductors is studied. The limit is performed on both the initial time layer and the original time scale. In both cases the limiting problems are identified. A main tool in the analysis are entropy methods.

MSC:
35Q60 PDEs in connection with optics and electromagnetic theory
35M10 PDEs of mixed type
82D37 Statistical mechanical studies of semiconductors
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