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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
Source PublicationJOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
Volume159Issue:1Pages:280-305
AbstractWe 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.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000083961200008
PublisherACADEMIC PRESS INC
Citation statistics
Cited Times:54[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14721
Collection中国科学院数学与系统科学研究院
Affiliation1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
2.SISSA, I-34014 Trieste, Italy
Recommended Citation
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.
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