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	Existence, semiclassical limit and long-time behavior of weak solution to quantum drift-diffusion model
	Chen, Xiuqing ; Chen, Li ; Jian, Huaiyu
	2010-10-12 ; 2010-10-12
关键词	Quantum drift-diffusion model Weak solution Semiclassical limit Long-time behavior 4TH-ORDER PARABOLIC EQUATION POSITIVITY SYSTEM Mathematics, Applied
中文摘要	The existence, semiclassical limit and long-time behavior of weak solutions to the transient quantum drift-diffusion model are studied. Using semi-discretization in time and entropy estimate, we get the global existence and semiclassical limit of nonnegative weak solutions to one-dimensional isentropic model with nonnegative initial and homogeneous Neumann (or periodic) boundary conditions. Furthermore, by a logarithmic Sobolev inequality, we obtain an inequality of the periodic weak solution to this model (or its isothermal case) which shows that the solution exponentially approaches its mean value as time increases to infinity. (C) 2008 Elsevier Ltd. All rights reserved.
语种	英语 ; 英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD ; OXFORD ; THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81302]
专题	清华大学
推荐引用方式 GB/T 7714	Chen, Xiuqing,Chen, Li,Jian, Huaiyu. Existence, semiclassical limit and long-time behavior of weak solution to quantum drift-diffusion model[J],2010, 2010.
APA	Chen, Xiuqing,Chen, Li,&Jian, Huaiyu.(2010).Existence, semiclassical limit and long-time behavior of weak solution to quantum drift-diffusion model..
MLA	Chen, Xiuqing,et al."Existence, semiclassical limit and long-time behavior of weak solution to quantum drift-diffusion model".(2010).

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