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Asymptotic behavior of subsonic entropy solutions of the isentropic Euler-Poisson equations
Li, HL; Markowich, P; Mei, M
2002-12-01
Source PublicationQUARTERLY OF APPLIED MATHEMATICS
ISSN0033-569X
Volume60Issue:4Pages:773-796
AbstractThe hydrodynamic model for semiconductors in one dimension is considered. For perturbated Riemann data, global subsonic (weak) entropy solutions, piecewise continuous and piecewise smooth solutions with shock discontinuities are constructed and their asymptotic behavior is analyzed. In subsonic domains, the solution is smooth and, exponentially as t --> infinity, tends to the corresponding stationary solution due to the influence of Poisson coupling. Along the shock discontinuity, the shock strength and the difference of derivatives of solutions decay exponentially affected by the relaxation mechanism.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000179328600008
PublisherAMER MATHEMATICAL SOC
Citation statistics
Cited Times:21[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17307
Collection中国科学院数学与系统科学研究院
Affiliation1.SISSA, I-34014 Trieste, Italy
2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
3.Univ Vienna, Inst Math, A-1090 Vienna, Austria
4.Vienna Univ Technol, Inst Appl Math & Numer Anal, A-1040 Vienna, Austria
Recommended Citation
GB/T 7714
Li, HL,Markowich, P,Mei, M. Asymptotic behavior of subsonic entropy solutions of the isentropic Euler-Poisson equations[J]. QUARTERLY OF APPLIED MATHEMATICS,2002,60(4):773-796.
APA Li, HL,Markowich, P,&Mei, M.(2002).Asymptotic behavior of subsonic entropy solutions of the isentropic Euler-Poisson equations.QUARTERLY OF APPLIED MATHEMATICS,60(4),773-796.
MLA Li, HL,et al."Asymptotic behavior of subsonic entropy solutions of the isentropic Euler-Poisson equations".QUARTERLY OF APPLIED MATHEMATICS 60.4(2002):773-796.
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