Convergence rate for compressible Euler equations with damping and vacuum

doi:10.1007/s00205-002-0234-5

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	Convergence rate for compressible Euler equations with damping and vacuum
	Huang, FM; Pan, RH
	2003-03-01
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	166 期号:4 页码:359-376
摘要	We study the asymptotic behavior of L-infinity weak-entropy solutions to the compressible Euler equations with damping and vacuum. Previous works on this topic are mainly concerned with the case away from the vacuum and small initial data. In the present paper, we prove that the entropy-weak solution strongly converges to the similarity solution of the porous media equations in L-p(R) (2 less than or equal to p < infinity) with decay rates. The initial data can contain vacuum and can be arbitrary large. A new approach is introduced to control the singularity near vacuum for the desired estimates.
DOI	10.1007/s00205-002-0234-5
语种	英语
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000181866600004
出版者	SPRINGER-VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18671
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, Beijing, Peoples R China 2.Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
推荐引用方式 GB/T 7714	Huang, FM,Pan, RH. Convergence rate for compressible Euler equations with damping and vacuum[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2003,166(4):359-376.
APA	Huang, FM,&Pan, RH.(2003).Convergence rate for compressible Euler equations with damping and vacuum.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,166(4),359-376.
MLA	Huang, FM,et al."Convergence rate for compressible Euler equations with damping and vacuum".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 166.4(2003):359-376.