Convergence to the barenblatt solution for the compressible euler equations with damping and vacuum | |
Huang, FM![]() | |
刊名 | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
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2005-03-01 | |
卷号 | 176期号:1页码:1-24 |
ISSN号 | 0003-9527 |
DOI | 10.1007/s00205-004-0349-y |
英文摘要 | We study the asymptotic behavior of a compressible isentropic flow through a porous medium when the initial mass is finite. The model system is the compressible Euler equation with frictional damping. As t -> infinity, the density is conjectured to obey the well-known porous medium equation and the momentum is expected to be formulated by Darcy's law. In this paper, we give a definite answer to this conjecture without any assumption on smallness or regularity for the initial data. We prove that any L-infinity weak entropy solution to the Cauchy problem of damped Euler equations with finite initial mass converges, strongly in L-p with decay rates, to matching Barenblatt's profile of the porous medium equation. The density function tends to the Barenblatt's solution of the porous medium equation while the momentum is described by Darcy's law. |
WOS研究方向 | Mathematics ; Mechanics |
语种 | 英语 |
出版者 | SPRINGER |
WOS记录号 | WOS:000228225600001 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1303] ![]() |
专题 | 应用数学研究所 |
通讯作者 | Huang, FM |
作者单位 | 1.Acad Sinica, Inst Appl Math, AMSS, Beijing 100080, Peoples R China 2.Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67100 Laquila, Italy 3.Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA |
推荐引用方式 GB/T 7714 | Huang, FM,Marcati, P,Pan, RH. Convergence to the barenblatt solution for the compressible euler equations with damping and vacuum[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2005,176(1):1-24. |
APA | Huang, FM,Marcati, P,&Pan, RH.(2005).Convergence to the barenblatt solution for the compressible euler equations with damping and vacuum.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,176(1),1-24. |
MLA | Huang, FM,et al."Convergence to the barenblatt solution for the compressible euler equations with damping and vacuum".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 176.1(2005):1-24. |
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