Zero relaxation limit to centered rarefaction waves for a rate-type viscoelastic system

CSpace

	Zero relaxation limit to centered rarefaction waves for a rate-type viscoelastic system
	Hsiao, L; Pan, RH
	1999-09-01
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	157 期号:1 页码:20-40
摘要	We study a rate-type viscoelastic system proposed by I. Suliciu (1990, Internat. J. Engrg. Sci. 28, 827-841), which is a 3 x 3 hyperbolic system with relaxation. As the relaxation time tends to zero, this system convergences to the well-known p-system formally. In the case where: the initial data are the Riemann data such that the corresponding solutions of the p-system are centered rarefaction waves, we show that if the wave strength is suitably small, then the solution for the relaxation system exists globally in time and converges to the solution of the corresponding rarefaction waves uniformly as the relaxation time goes to zero, except for an initial layer. The jump discontinuities in the solutions are decaying exponentially fast as time tends to infinity. (C) 1999 Academic Press.
关键词	zero relaxation limit centered rarefaction waves piecewise energy estimates characteristic analysis viscoelasticity
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000082512100002
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/14730
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	Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hsiao, L,Pan, RH. Zero relaxation limit to centered rarefaction waves for a rate-type viscoelastic system[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,1999,157(1):20-40.
APA	Hsiao, L,&Pan, RH.(1999).Zero relaxation limit to centered rarefaction waves for a rate-type viscoelastic system.JOURNAL OF DIFFERENTIAL EQUATIONS,157(1),20-40.
MLA	Hsiao, L,et al."Zero relaxation limit to centered rarefaction waves for a rate-type viscoelastic system".JOURNAL OF DIFFERENTIAL EQUATIONS 157.1(1999):20-40.