Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum

doi:10.1016/j.jde.2005.03.012

	Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum
	Huang, FM ; Pan, RH
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2006
卷号	220 期号:1 页码:207-233
关键词	compressible enter equations porous medium asymptotic behavior damping mechanism compensated compactness
ISSN号	0022-0396
DOI	10.1016/j.jde.2005.03.012
英文摘要	The asymptotic behavior of solutions of the damped compressible Euler equations is conjectured to obey to the famous porous media equations (PMES). The previous works on this topic concern the case away from vacuum where the system is strictly hyperbolic. In present paper, we prove that the L-infinity entropy weak solution with vacuum, obtained by the compensated compactness theory, converges strongly in L-loc(p)(1 <= p <= infinity) space to the unique similarity solution of the related PME, as time goes to infinity. (c) 2005 Elsevier Inc. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000233889300010
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/3476]
专题	中国科学院数学与系统科学研究院
通讯作者	Pan, RH
作者单位	1.Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA 2.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Huang, FM,Pan, RH. Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2006,220(1):207-233.
APA	Huang, FM,&Pan, RH.(2006).Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum.JOURNAL OF DIFFERENTIAL EQUATIONS,220(1),207-233.
MLA	Huang, FM,et al."Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum".JOURNAL OF DIFFERENTIAL EQUATIONS 220.1(2006):207-233.