Initial boundary value problem for the system of compressible adiabatic flow through porous media

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	Initial boundary value problem for the system of compressible adiabatic flow through porous media
	Hsiao, L ; Pan, RH
	1999-11-20
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	159 期号:1 页码:280-305
摘要	We study the initial value problem for the system of compressible adiabatic flow through porous media in the one space dimension with fixed boundary condition. Under the restriction on the oscillations in the initial data. we establish the global existence and large Lime behavior for the classical solutions via the combination of characteristic analysis and energy estimate methods. The time-asymptotic states for the solution are found and the exponential convergence to the asymptotic states is proved. It is also shown that this problem can be approximated very well time-asymptotically by an initial boundary problem Fat the related diffusion equations obtained from the original hyperbolic system by Darcy's law. provided that the initial total mass is the same, The difference between these two solutions tends to zero exponentially fast as time goes to infinity in the sense of H-1. The diffusive phenomena caused by damping mechanism with boundary effects an thus observed. (C) 1999 Academic Press.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000083961200008
出版者	ACADEMIC PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14721
专题	中国科学院数学与系统科学研究院
通讯作者	Hsiao, L
作者单位	1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.SISSA, I-34014 Trieste, Italy
推荐引用方式 GB/T 7714	Hsiao, L,Pan, RH. Initial boundary value problem for the system of compressible adiabatic flow through porous media[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,1999,159(1):280-305.
APA	Hsiao, L,&Pan, RH.(1999).Initial boundary value problem for the system of compressible adiabatic flow through porous media.JOURNAL OF DIFFERENTIAL EQUATIONS,159(1),280-305.
MLA	Hsiao, L,et al."Initial boundary value problem for the system of compressible adiabatic flow through porous media".JOURNAL OF DIFFERENTIAL EQUATIONS 159.1(1999):280-305.