KMS Of Academy of mathematics and systems sciences, CAS
| Large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices | |
Huang, Feimin1,2 ; Li, Tianhong3; Yu, Huimin4; Yuan, Difan1,2
| |
| 2018-06-01 | |
| Source Publication | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
 |
| ISSN | 0044-2275 |
| Volume | 69Issue:3Pages:12 |
| Abstract | We are concerned with the global existence and large time behavior of entropy solutions to the one-dimensional unipolar hydrodynamic model for semiconductors in the form of Euler-Poisson equations in a bounded interval. In this paper, we first prove the global existence of entropy solution by vanishing viscosity and compensated compactness framework. In particular, the solutions are uniformly bounded with respect to space and time variables by introducing modified Riemann invariants and the theory of invariant region. Based on the uniform estimates of density, we further show that the entropy solution converges to the corresponding unique stationary solution exponentially in time. No any smallness condition is assumed on the initial data and doping profile. Moreover, the novelty in this paper is about the unform bound with respect to time for the weak solutions of the isentropic Euler-Poisson system. |
| Keyword | Isentropic Euler-Poisson equations Compensated compactness Entropy solution Vanishing viscosity Large time behavior |
| DOI | 10.1007/s00033-018-0968-z |
| Language | 英语 |
| Funding Project | National Center for Mathematics and Interdisciplinary Sciences, AMSS, CAS ; NSFC[11371349] ; NSFC[11688101] ; NSFC[11671237] ; Natural Science Foundation of Shandong Province[ZR2015AM001] ; China Scholarship Council[201704910503] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000433069100001 |
| Publisher | SPRINGER BASEL AG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/30337 |
| Collection | 应用数学研究所 |
| Corresponding Author | Huang, Feimin |
| Affiliation | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, AMSS, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Shandong Normal Univ, Dept Math, Jinan 250014, Shandong, Peoples R China |
| Recommended Citation GB/T 7714 | Huang, Feimin,Li, Tianhong,Yu, Huimin,et al. Large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2018,69(3):12. |
| APA | Huang, Feimin,Li, Tianhong,Yu, Huimin,&Yuan, Difan.(2018).Large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,69(3),12. |
| MLA | Huang, Feimin,et al."Large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 69.3(2018):12. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment