CSpace
Existence of a global smooth solution for a degenerate Goursat problem of gas dynamics
Dai, ZH; Zhang, T
2000
Source PublicationARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN0003-9527
Volume155Issue:4Pages:277-298
AbstractThe Goursat problem of a mixed type equation (P - xi (2))P(xi xi) - 2 xi etaP(xi eta) + (P - eta (2)) P(eta eta) + 1/P (xi P(xi) + eta P(eta))(2) - 2(xi P(xi) + etaP(eta)) = 0, P greater than or equal to 0, is considered. At the ends of its supports we have P = 0, which means it is degenerate hyperbolic. We prove the global existence of a smooth solution to the degenerate Goursat problem up to a boundary where P = 0. This problem comes from the expansion of a wedge of gas with constant velocity into vacuum, in two-dimensional pressure-gradient equations in gas dynamics, where P is the pressure and P = 0 means vacuum.
Language英语
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000166070800002
PublisherSPRINGER
Citation statistics
Cited Times:59[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15353
Collection中国科学院数学与系统科学研究院
Affiliation1.Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100080, Peoples R China
2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Dai, ZH,Zhang, T. Existence of a global smooth solution for a degenerate Goursat problem of gas dynamics[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2000,155(4):277-298.
APA Dai, ZH,&Zhang, T.(2000).Existence of a global smooth solution for a degenerate Goursat problem of gas dynamics.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,155(4),277-298.
MLA Dai, ZH,et al."Existence of a global smooth solution for a degenerate Goursat problem of gas dynamics".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 155.4(2000):277-298.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Dai, ZH]'s Articles
[Zhang, T]'s Articles
Baidu academic
Similar articles in Baidu academic
[Dai, ZH]'s Articles
[Zhang, T]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Dai, ZH]'s Articles
[Zhang, T]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.