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Title of Journal: Acta Math SinEnglish Ser

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Abbravation: Acta Mathematica Sinica, English Series

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Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society

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DOI

10.1007/978-3-319-42725-6_15

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1439-7617

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The bipolar quantum driftdiffusion model

Authors: Xiu Qing Chen Li Chen
Publish Date: 2009/03/25
Volume: 25, Issue: 4, Pages: 617-
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Abstract

A fourth order parabolic system the bipolar quantum driftdiffusion model in semiconductor simulation with physically motivated DirichletNeumann boundary condition is studied in this paper By semidiscretization in time and compactness argument the global existence and semiclassical limit are obtained in which semiclassical limit describes the relation between quantum and classical driftdiffusion models Furthermore in the case of constant doping we prove the weak solution exponentially approaches its constant steady state as time increases to infinity

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