Global BV solutions to a p-system with relaxation

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	Global BV solutions to a p-system with relaxation
	Luo, T ; Natalini, R ; Yang, T
	2000-03-20
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	162 期号:1 页码:174-198
摘要	In this paper, we study the global existence of BV solutions to a p-system with a relaxation source term using the Glimm's scheme. The pressure p is given by a gamma-law with gamma = 1. By a suitable choice of the measure for the strength of the shock waves. ale show that the total strength of the waves and the total variation of the solutions are uniformly bounded with respect to the relaxation parameter. Furthermore, when the relaxation parameter tends to zero, we show that the sequence of DV solutions eventually converges to a weak solution to the equilibrium equation. (C) 2000 Academic Press.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000086063700006
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/15247
专题	中国科学院数学与系统科学研究院
通讯作者	Luo, T
作者单位	1.City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 3.Consiglio Nazl Ric, Ist Applicaz Calcolo M Picone, I-00161 Rome, Italy
推荐引用方式 GB/T 7714	Luo, T,Natalini, R,Yang, T. Global BV solutions to a p-system with relaxation[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2000,162(1):174-198.
APA	Luo, T,Natalini, R,&Yang, T.(2000).Global BV solutions to a p-system with relaxation.JOURNAL OF DIFFERENTIAL EQUATIONS,162(1),174-198.
MLA	Luo, T,et al."Global BV solutions to a p-system with relaxation".JOURNAL OF DIFFERENTIAL EQUATIONS 162.1(2000):174-198.