Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors
文献类型：期刊论文
| 作者 | Huang, Feimin1 ; Mei, Ming2,3; Wang, Yong1; Yu, Huimin4
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2011-08-15 |
| 卷号 | 251期号:4-5页码:1305-1331 |
| 关键词 | Euler-Poisson equations Unipolar hydrodynamic model of semiconductor Nonlinear damping Planar stationary waves Asymptotic convergence Exponential decay rates |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2011.04.007 |
| 英文摘要 | In this study, we consider the high dimensional unipolar hydrodynamic model for semiconductors in the form of Euler-Poisson equations. Based on the results that we have obtained in the first part (Huang, et al., 2011 [16]) for the 1-D case, we can further show the stability of planar stationary waves in multi-dimensional case. Utilizing the energy method, we obtain the global existence of the solutions of high dimensional Euler-Poisson equations for the unipolar hydrodynamic model, and prove that the solutions converge to the planar stationary waves time-exponentially. (C) 2011 Elsevier Inc. All rights reserved. |
| 资助项目 | NSFC[10825102] ; NSFC[10901095] ; NSFC-NSAF[10676037] ; 973 project of China[2006CB805902] ; Natural Sciences and Engineering Research Council of Canada under the NSERC[RGPIN 354724-08] ; Promotive research fund for excellent young and middle-aged scientists of Shandong Province[BS2010SF025] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000291900800022 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12797]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wang, Yong |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Champlain Coll St Lambert, Dept Math, Quebec City, PQ J4P 3P2, Canada 3.McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada 4.Shandong Normal Univ, Dept Math, Jinan 250014, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Feimin,Mei, Ming,Wang, Yong,et al. Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2011,251(4-5):1305-1331. |
| APA | Huang, Feimin,Mei, Ming,Wang, Yong,&Yu, Huimin.(2011).Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors.JOURNAL OF DIFFERENTIAL EQUATIONS,251(4-5),1305-1331. |
| MLA | Huang, Feimin,et al."Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors".JOURNAL OF DIFFERENTIAL EQUATIONS 251.4-5(2011):1305-1331. |
入库方式： OAI收割
来源：数学与系统科学研究院
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