Long Time Decay Rate to a Bipolar Quantum Drift-Diffusion Model

This paper is devoted to studying the long time behavior of solutions to a bipolar quantum hydrodynamic in one-dimensional space for general pressure functions. The model is usually applied to simulate some quantum effects in semiconductor devices. The decay rate for time variable is obtained by the...

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Main Authors: Yingjie Zhu, Bo Liang, Xiting Peng
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/163630
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author Yingjie Zhu
Bo Liang
Xiting Peng
author_facet Yingjie Zhu
Bo Liang
Xiting Peng
author_sort Yingjie Zhu
collection DOAJ
description This paper is devoted to studying the long time behavior of solutions to a bipolar quantum hydrodynamic in one-dimensional space for general pressure functions. The model is usually applied to simulate some quantum effects in semiconductor devices. The decay rate for time variable is obtained by the entropy functional method and semidiscrete technique.
format Article
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-625fb4067ed94ca3b71e1e16fbd5be862025-08-20T03:34:41ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/163630163630Long Time Decay Rate to a Bipolar Quantum Drift-Diffusion ModelYingjie Zhu0Bo Liang1Xiting Peng2Institute of Mathematics, Jilin University, Changchun 130012, ChinaSchool of Science, Dalian Jiaotong University, Dalian 116028, ChinaSchool of Science, Dalian Jiaotong University, Dalian 116028, ChinaThis paper is devoted to studying the long time behavior of solutions to a bipolar quantum hydrodynamic in one-dimensional space for general pressure functions. The model is usually applied to simulate some quantum effects in semiconductor devices. The decay rate for time variable is obtained by the entropy functional method and semidiscrete technique.http://dx.doi.org/10.1155/2015/163630
spellingShingle Yingjie Zhu
Bo Liang
Xiting Peng
Long Time Decay Rate to a Bipolar Quantum Drift-Diffusion Model
Journal of Function Spaces
title Long Time Decay Rate to a Bipolar Quantum Drift-Diffusion Model
title_full Long Time Decay Rate to a Bipolar Quantum Drift-Diffusion Model
title_fullStr Long Time Decay Rate to a Bipolar Quantum Drift-Diffusion Model
title_full_unstemmed Long Time Decay Rate to a Bipolar Quantum Drift-Diffusion Model
title_short Long Time Decay Rate to a Bipolar Quantum Drift-Diffusion Model
title_sort long time decay rate to a bipolar quantum drift diffusion model
url http://dx.doi.org/10.1155/2015/163630
work_keys_str_mv AT yingjiezhu longtimedecayratetoabipolarquantumdriftdiffusionmodel
AT boliang longtimedecayratetoabipolarquantumdriftdiffusionmodel
AT xitingpeng longtimedecayratetoabipolarquantumdriftdiffusionmodel