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	ZERO-RELAXATION LIMIT OF NON-ISENTROPIC HYDRODYNAMIC MODELS FOR SEMICONDUCTORS
	Xu, Jiang ; Yong, Wen-An
	2010-10-12 ; 2010-10-12
关键词	Non-isentropic hydrodynamic model Maxwell iteration relaxation limit continuation principle energy estimates EULER-POISSON MODEL DRIFT-DIFFUSION EQUATIONS SMOOTH SOLUTIONS GLOBAL EXISTENCE TIME LIMITS STABILITY SYSTEMS Mathematics, Applied Mathematics
中文摘要	This paper deals with non-isentropic hydrodynamic models for semiconductors with short momentum and energy relaxation times. With the help of the Maxwell iteration, we construct a new approximation and show that periodic initial-value problems of certain scaled non-isentropic hydrodynamic models have unique smooth solutions in a time interval independent of the two relaxation times. Furthermore, it is proved that as the two relaxation times both tend to zero, the smooth solutions converge to solutions of the corresponding semilinear drift-diffusion models.
语种	英语 ; 英语
出版者	AMER INST MATHEMATICAL SCIENCES ; SPRINGFIELD ; PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81199]
专题	清华大学
推荐引用方式 GB/T 7714	Xu, Jiang,Yong, Wen-An. ZERO-RELAXATION LIMIT OF NON-ISENTROPIC HYDRODYNAMIC MODELS FOR SEMICONDUCTORS[J],2010, 2010.
APA	Xu, Jiang,&Yong, Wen-An.(2010).ZERO-RELAXATION LIMIT OF NON-ISENTROPIC HYDRODYNAMIC MODELS FOR SEMICONDUCTORS..
MLA	Xu, Jiang,et al."ZERO-RELAXATION LIMIT OF NON-ISENTROPIC HYDRODYNAMIC MODELS FOR SEMICONDUCTORS".(2010).

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