LARGE TIME BEHAVIOR OF SOLUTIONS TO N-DIMENSIONAL BIPOLAR HYDRODYNAMIC MODELS FOR SEMICONDUCTORS
文献类型：期刊论文
| 作者 | Huang, Feimin1 ; Mei, Ming2,3; Wang, Yong1
|
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2011 |
| 卷号 | 43期号:4页码:1595-1630 |
| 关键词 | bipolar hydrodynamic model semiconductor nonlinear damping (planar) nonlinear diffusion waves asymptotic behavior convergence rates |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/100810228 |
| 英文摘要 | In this paper, we study the n-dimensional (n >= 1) bipolar hydrodynamic model for semiconductors in the form of Euler-Poisson equations. In the 1-D case, when the difference between the initial electron mass and the initial hole mass is nonzero (switch-on case), the stability of nonlinear diffusion waves has been open for a long time. In order to overcome this difficulty, we ingeniously construct some new correction functions to delete the gaps between the original solutions and the diffusion waves in L(2)-space, so that we can deal with the 1-D case for general perturbations, and prove the L(infinity)-stability of diffusion waves in the 1-D case. The optimal convergence rates are also obtained. Furthermore, based on the 1-D results, we establish some crucial energy estimates and apply a new but key inequality to prove the stability of planar diffusion waves in n-D case. This is the first result for the multidimensional bipolar hydrodynamic model of semiconductors. |
| 资助项目 | NSFC[10825102] ; NSFC-NSAF[10676037] ; 973 project of China[2006CB805902] ; Natural Sciences and Engineering Research Council of Canada under NSERC[RGPIN 354724-08] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000294289500004 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11424]  |
| 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 |
| 推荐引用方式 GB/T 7714 | Huang, Feimin,Mei, Ming,Wang, Yong. LARGE TIME BEHAVIOR OF SOLUTIONS TO N-DIMENSIONAL BIPOLAR HYDRODYNAMIC MODELS FOR SEMICONDUCTORS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2011,43(4):1595-1630. |
| APA | Huang, Feimin,Mei, Ming,&Wang, Yong.(2011).LARGE TIME BEHAVIOR OF SOLUTIONS TO N-DIMENSIONAL BIPOLAR HYDRODYNAMIC MODELS FOR SEMICONDUCTORS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,43(4),1595-1630. |
| MLA | Huang, Feimin,et al."LARGE TIME BEHAVIOR OF SOLUTIONS TO N-DIMENSIONAL BIPOLAR HYDRODYNAMIC MODELS FOR SEMICONDUCTORS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 43.4(2011):1595-1630. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。