Existence of weak solutions to a stationary 1-dimensional bipolar quantum energy-transport model

A stationary bipolar quantum energy-transport model for semiconductors is studied in a 1-dimensional bounded domain. The model is reformulated as a coupled system consisting of two fourth-order elliptic equations and a second-order degenerate elliptic equation. The existence of weak solutions to the...

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Published inZhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 43; no. 5; pp. 521 - 524
Main Authors Dong, Jianwei, Cheng, Chunrui, Wang, Yanping
Format Journal Article
LanguageChinese
Published Zhejiang University Press 01.09.2016
Subjects
Energy transfer
Existence theorems
Fixed points (mathematics)
Mathematical analysis
Mathematical models
Semiconductors
Theorems
存在性
稳态解
量子能量输运模型
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ISSN1008-9497
DOI10.3785/j.issn.1008-9497.2016.05.004

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Summary:A stationary bipolar quantum energy-transport model for semiconductors is studied in a 1-dimensional bounded domain. The model is reformulated as a coupled system consisting of two fourth-order elliptic equations and a second-order degenerate elliptic equation. The existence of weak solutions to the reformulated system is proved using the truncation method and the Leray-Schauder fixed-point theorem.
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ISSN:1008-9497
DOI:10.3785/j.issn.1008-9497.2016.05.004