Decay of the non-isentropic Navier-Stokes-Poisson equations

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	Decay of the non-isentropic Navier-Stokes-Poisson equations
	Tan, Zhong ; Zhang, Xu ; Tan Z(谭忠)
刊名	http://dx.doi.org/10.1016/j.jmaa.2012.09.021
	2013
关键词	GLOBAL EXISTENCE SYSTEM
英文摘要	National Natural Science Foundation of China-NSAF [10976026]; We establish the time decay rates of the solution to the Cauchy problem for the non-isentropic compressible Navier-Stokes-Poisson system via a refined pure energy method. In particular, the optimal decay rates of the higher-order spatial derivatives of the solution are obtained. As a corollary, we also obtain the usual L-P - L-2(1 < p <= 2) type of the optimal decay rates. The (H) over dot(-s)(0 <= s < 3/2) negative Sobolev norms are shown to be preserved along time evolution and enhance the decay rates. We use a family of scaled energy estimates with minimum derivative counts and interpolations among them without linear decay analysis. (C) 2012 Elsevier Inc. All rights reserved.
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91297]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Tan, Zhong,Zhang, Xu,Tan Z. Decay of the non-isentropic Navier-Stokes-Poisson equations[J]. http://dx.doi.org/10.1016/j.jmaa.2012.09.021,2013.
APA	Tan, Zhong,Zhang, Xu,&谭忠.(2013).Decay of the non-isentropic Navier-Stokes-Poisson equations.http://dx.doi.org/10.1016/j.jmaa.2012.09.021.
MLA	Tan, Zhong,et al."Decay of the non-isentropic Navier-Stokes-Poisson equations".http://dx.doi.org/10.1016/j.jmaa.2012.09.021 (2013).