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Global BV solutions to a p-system with relaxation
Luo, T; Natalini, R; Yang, T
2000-03-20
Source PublicationJOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
Volume162Issue:1Pages:174-198
AbstractIn 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.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000086063700006
PublisherACADEMIC PRESS INC
Citation statistics
Cited Times:15[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15247
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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