ASYMPTOTIC CONVERGENCE TO STATIONARY WAVES FOR UNIPOLAR HYDRODYNAMIC MODEL OF SEMICONDUCTORS
文献类型：期刊论文
| 作者 | Huang, Feimin1 ; Mei, Ming2,3; Wang, Yong1; Yu, Huimin4
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| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2011 |
| 卷号 | 43期号:1页码:411-429 |
| 关键词 | Euler-Poisson unipolar hydrodynamic model semiconductor nonlinear damping asymptotic behavior convergence rates |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/100793025 |
| 英文摘要 | In this paper, we study the one-dimensional unipolar hydrodynamic model for semiconductors in the form of Euler-Poisson equations. In the case when the state constants on the current density and the electric field are nonzero (switch-on case), the stability of stationary waves of one-dimensional isentropic Euler-Poisson equations for the unipolar hydrodynamic model has been open. In order to overcome this difficulty, we first analyze the behaviors of the solutions at x = +/-infinity, and observe what are the exact gaps between the original solutions and the stationary solutions in L(2)-space; then we technically construct some new correction functions to delete these gaps. Finally, based on the energy methods, we prove that the solutions of one-dimensional isentropic Euler-Poisson equations for the unipolar hydrodynamic model decay exponentially fast to the stationary solutions. |
| 资助项目 | NSFC[10825102] ; NSFC[10901095] ; National Basic Research Program of China (973 Program)[2011CB808002] ; Natural Sciences and Engineering Research Council of Canada under NSERC[RGPIN 354724-08] ; Promotive Research Fund for Excellent Young and Middle-Aged Scientists of the Shandong Province[BS2010SF025] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000287696400016 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11372]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wang, Yong |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Champlain Coll, Dept Math, St Lambert, 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 STATIONARY WAVES FOR UNIPOLAR HYDRODYNAMIC MODEL OF SEMICONDUCTORS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2011,43(1):411-429. |
| APA | Huang, Feimin,Mei, Ming,Wang, Yong,&Yu, Huimin.(2011).ASYMPTOTIC CONVERGENCE TO STATIONARY WAVES FOR UNIPOLAR HYDRODYNAMIC MODEL OF SEMICONDUCTORS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,43(1),411-429. |
| MLA | Huang, Feimin,et al."ASYMPTOTIC CONVERGENCE TO STATIONARY WAVES FOR UNIPOLAR HYDRODYNAMIC MODEL OF SEMICONDUCTORS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 43.1(2011):411-429. |
入库方式： OAI收割
来源：数学与系统科学研究院
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