Time decay rates for the equations of the compressible heat-conductive flow through porous media

doi:10.1016/j.jde.2015.06.008

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	Time decay rates for the equations of the compressible heat-conductive flow through porous media
	Chen, Qing 1; Tan, Zhong 2; Wu, Guochun 3
	2015-11-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	259 期号:9 页码:4707-4731
摘要	We consider the time decay rates of smooth solutions to the Cauchy problem for the equations of the compressible heat-conductive flow through porous media. We prove the global existence and uniqueness of the solutions by the standard energy method. Moreover, we establish the optimal decay rates of the solution as well as its higher-order spatial derivatives. And the damping effect on the time decay rates of the solution is studied in detail. (C) 2015 The Authors. Published by Elsevier Inc.
关键词	Compressible flow Energy method Optimal decay rates
DOI	10.1016/j.jde.2015.06.008
语种	英语
资助项目	National Natural Science Foundation of China-NSFC[11226174] ; National Natural Science Foundation of China-NSFC[11301439] ; National Natural Science Foundation of China-NSFC[11271305]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000359507800009
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20576
专题	中国科学院数学与系统科学研究院
通讯作者	Wu, Guochun
作者单位	1.Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Fujian, Peoples R China 2.Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Qing,Tan, Zhong,Wu, Guochun. Time decay rates for the equations of the compressible heat-conductive flow through porous media[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2015,259(9):4707-4731.
APA	Chen, Qing,Tan, Zhong,&Wu, Guochun.(2015).Time decay rates for the equations of the compressible heat-conductive flow through porous media.JOURNAL OF DIFFERENTIAL EQUATIONS,259(9),4707-4731.
MLA	Chen, Qing,et al."Time decay rates for the equations of the compressible heat-conductive flow through porous media".JOURNAL OF DIFFERENTIAL EQUATIONS 259.9(2015):4707-4731.