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Quasi-neutral limit of the drift-diffusion model for semiconductors with general sign-changing doping profile |
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| Authors: | Ling Hsiao QiangChang Ju Shu Wang |
| Affiliation: | (1) Academy of Mathematics and Systems Science, Chinese Acadamy of Sciences, Beijing, 100080, China;(2) Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China;(3) College of Science, Beijing University of Technology, Beijing, 100022, China |
| Abstract: | The quasi-neutral limit of time-dependent drift diffusion model with general sign-changing doping profile is justified rigorously in super-norm (i.e., uniformly in space). This improves the spatial square norm limit by Wang, Xin and Markowich. |
| Keywords: | quasi-neutral limit drift-diffusion equations multiple scaling asymptotic expansions |
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