KMS Of Academy of mathematics and systems sciences, CAS
| The asymptotic behavior of global smooth solutions to the macroscopic models for semiconductors | |
| Hsiao, L; Wang, S | |
| 2001-04-01 | |
| Source Publication | CHINESE ANNALS OF MATHEMATICS SERIES B
 |
| ISSN | 0252-9599 |
| Volume | 22Issue:2Pages:195-210 |
| Abstract | The authors study the asymptotic behavior of the smooth solutions to the Cauchy problems for two macroscopic models (hydrodynamic and drift-diffusion models) for semiconductors and the related relaxation limit problem. First, it is proved that the solutions to these two systems converge to the unique stationary solution time asymptotically without the smallness assumption on doping profile. Then, very sharp estimates on the smooth solutions, independent of the relaxation time, are obtained and used to establish the zero relaxation limit. |
| Keyword | hydrodynamic model semiconductors asymptotic behavior global smooth solution zero relaxation limit |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000169176500007 |
| Publisher | BALTZER SCI PUBL BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/16608 |
| Collection | 中国科学院数学与系统科学研究院 |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Henan Univ, Dept Math, Kaifeng 475001, Peoples R China |
| Recommended Citation GB/T 7714 | Hsiao, L,Wang, S. The asymptotic behavior of global smooth solutions to the macroscopic models for semiconductors[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2001,22(2):195-210. |
| APA | Hsiao, L,&Wang, S.(2001).The asymptotic behavior of global smooth solutions to the macroscopic models for semiconductors.CHINESE ANNALS OF MATHEMATICS SERIES B,22(2),195-210. |
| MLA | Hsiao, L,et al."The asymptotic behavior of global smooth solutions to the macroscopic models for semiconductors".CHINESE ANNALS OF MATHEMATICS SERIES B 22.2(2001):195-210. |
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