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	Dirichlet-Neumann problem for unipolar isentropic quantum drift-diffusion model
	Chen Li ; Chen Xiuqing
	2010-10-12 ; 2010-10-12
关键词	Theoretical or Mathematical/ diffusion entropy quantum theory/ Dirichlet-Neumann problem unipolar isentropic quantum drift-diffusion model semiclassical limit long-time behavior fourth order parabolic system entropy 1D model Dirichlet-Neumann boundary condition weak solutions/ A0365S Semiclassical theories and applications in quantum theory A0560 Transport processes: theory A0570C Thermodynamic functions and equations of state
中文摘要	This paper studies the existence, semiclassical limit, and long-time behavior of weak solutions to the unipolar isentropic quantum drift-diffusion model, a fourth order parabolic system. Semi-discretization in time and entropy estimates give the global existence and semiclassical limit of nonnegative weak solutions to the one-dimensional model with a nonnegative large initial value and a Dirichlet-Neumann boundary condition. Furthermore, the weak solutions are proven to exponentially approach constant steady state as time increases to infinity.
语种	英语
出版者	Tsinghua University Press ; China
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81163]
专题	清华大学
推荐引用方式 GB/T 7714	Chen Li,Chen Xiuqing. Dirichlet-Neumann problem for unipolar isentropic quantum drift-diffusion model[J],2010, 2010.
APA	Chen Li,&Chen Xiuqing.(2010).Dirichlet-Neumann problem for unipolar isentropic quantum drift-diffusion model..
MLA	Chen Li,et al."Dirichlet-Neumann problem for unipolar isentropic quantum drift-diffusion model".(2010).

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