Asymptotic behavior of solutions to the compressible adiabatic flow through porous media with boundary effects

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	Asymptotic behavior of solutions to the compressible adiabatic flow through porous media with boundary effects
	Hsiao, L ; Li, HL
	2002
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	23 期号:1 页码:109-118
摘要	The initial boundary value problems (IBVP) for the system of compressible adiabatic flow through porous media and the IBVP for its corresponding reduced system through Darcy' laws on [0, 1] x [0, +infinity) are considered respectively. The global existence of smooth solutions to the IBVP problems for two systems are proved, and their large-time behavior is analyzed. The time-asymptotic equivalence of these two systems are investigated, the decay rate of the difference of solutions between these two systems are shown to be determined explicitly by the initial perturbations and boundary effects. It is found that the oscillation of the specific volume can be cancelled by that of entropy, i.e., the oscillation of the specific volume and entropy is not required to be small.
关键词	initial boundary value problem global existence large-time behavior
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000175192700011
出版者	SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17652
专题	中国科学院数学与系统科学研究院
作者单位	1.Acad Sinica, Math Inst, Beijing 100080, Peoples R China 2.Univ Vienna, Math Inst, A-1090 Vienna, Austria
推荐引用方式 GB/T 7714	Hsiao, L,Li, HL. Asymptotic behavior of solutions to the compressible adiabatic flow through porous media with boundary effects[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2002,23(1):109-118.
APA	Hsiao, L,&Li, HL.(2002).Asymptotic behavior of solutions to the compressible adiabatic flow through porous media with boundary effects.CHINESE ANNALS OF MATHEMATICS SERIES B,23(1),109-118.
MLA	Hsiao, L,et al."Asymptotic behavior of solutions to the compressible adiabatic flow through porous media with boundary effects".CHINESE ANNALS OF MATHEMATICS SERIES B 23.1(2002):109-118.