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

doi:10.1016/j.jde.2015.06.008

	Time decay rates for the equations of the compressible heat-conductive flow through porous media
	Chen, Qing 1; Tan, Zhong 2; Wu, Guochun 3
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2015-11-05
卷号	259 期号:9 页码:4707-4731
关键词	Compressible flow Energy method Optimal decay rates
ISSN号	0022-0396
DOI	10.1016/j.jde.2015.06.008
英文摘要	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.
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
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000359507800009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/20575]
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.