Asymptotic behavior of subsonic entropy solutions of the isentropic Euler-Poisson equations

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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
发表期刊	QUARTERLY OF APPLIED MATHEMATICS
ISSN	0033-569X
卷号	60 期号:4 页码:773-796
摘要	The 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.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000179328600008
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17307
专题	中国科学院数学与系统科学研究院
通讯作者	Li, HL
作者单位	1.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
推荐引用方式 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.