CSpace  > 应用数学研究所
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 PublicationZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN0044-2275
Volume69Issue:3Pages:12
AbstractWe 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.
KeywordIsentropic Euler-Poisson equations Compensated compactness Entropy solution Vanishing viscosity Large time behavior
DOI10.1007/s00033-018-0968-z
Language英语
Funding ProjectNational 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 AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000433069100001
PublisherSPRINGER BASEL AG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30337
Collection应用数学研究所
Affiliation1.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.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Huang, Feimin]'s Articles
[Li, Tianhong]'s Articles
[Yu, Huimin]'s Articles
Baidu academic
Similar articles in Baidu academic
[Huang, Feimin]'s Articles
[Li, Tianhong]'s Articles
[Yu, Huimin]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Huang, Feimin]'s Articles
[Li, Tianhong]'s Articles
[Yu, Huimin]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.