Zero relaxation limit for piecewise smooth solutions to a rate-type viscoelastic system in the presence of shocks

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	Zero relaxation limit for piecewise smooth solutions to a rate-type viscoelastic system in the presence of shocks
	Li, HL; Pan, RH
	2000-12-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	252 期号:1 页码:298-324
摘要	We study a rate-type viscoelastic system proposed in I. Suliciu (Int. J. Engng. Sci. 28 (1990), 827-841), which is a 3 x 3 hyperbolic system with relaxation. As the relaxation time tends to zero, this system converges to the well-known p-system formally. Zn the case that the solutions of the p-system are piecewise smooth, including finitely many noninteracting shock waves, we show that there exist smooth solutions for Suliciu's model which converge to those of the p-system strongly as the relaxation time goes to zero. The method used here is the so-called matched asymptotic analysis suggested in J. Goodman and Z. P. Xin (Arch. Ration. Mech. Anal. 121 (1992), 235-265), which includes two parts: the matched asymptotic expansion and stability analysis. (C) 2000 Academic Press.
关键词	piecewise smooth solution viscoelasticity matched asymptotic analysis zero relaxation limit
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000165829700017
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/15130
专题	中国科学院数学与系统科学研究院
通讯作者	Li, HL
作者单位	Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, HL,Pan, RH. Zero relaxation limit for piecewise smooth solutions to a rate-type viscoelastic system in the presence of shocks[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2000,252(1):298-324.
APA	Li, HL,&Pan, RH.(2000).Zero relaxation limit for piecewise smooth solutions to a rate-type viscoelastic system in the presence of shocks.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,252(1),298-324.
MLA	Li, HL,et al."Zero relaxation limit for piecewise smooth solutions to a rate-type viscoelastic system in the presence of shocks".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 252.1(2000):298-324.