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Junction layer analysis in one-dimensional steady-state Euler-Poisson equations |
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| Authors: | Yue-Jun Peng Yong-Fu Yang |
| Institution: | a Laboratoire de Mathématiques, CNRS UMR 6620, Université Blaise Pascal (Clermont-Ferrand 2), F-63177 Aubière cedex, France b Department of Mathematics, College of Sciences, Hohai University, Nanjing 210098, Jiangsu, China c School of Mathematical Sciences, Fudan University, Shanghai 200433, China |
| Abstract: | We study the quasi-neutral limit in one-dimensional steady-state Euler-Poisson equations with junction layers. Typically, the junction layer phenomenon occurs in a ballistic diode of a semiconductor device where the doping profile is a discontinuous function. We derive the junction layer equations and prove the existence of their solutions which decay exponentially. Finally, we justify the quasi-neutral limit with junction layers by giving uniform error estimates. |
| Keywords: | Quasi-neutral limit Junction layers Euler-Poisson system Asymptotic analysis Semiconductors |
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