CSpace  > 应用数学研究所
Nonlinear stability of large amplitude viscous shock wave for general viscous gas
He, Lin1; Huang, Feimin2,3
2020-07-05
Source PublicationJOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
Volume269Issue:2Pages:1226-1242
AbstractIn the present paper, it is shown that the large amplitude viscous shock wave is nonlinearly stable for isentropic Navier-Stokes equations, in which the pressure could be general and includes gamma-law, and the viscosity coefficient is a smooth function of density. The strength of shock wave could be arbitrarily large. The proof is given by introducing a new variable, which can formulate the original system into a new one, and the elementary energy method introduced in [21]. (C) 2020 Published by Elsevier Inc.
DOI10.1016/j.jde.2020.01.004
Indexed BySCI
Language英语
Funding ProjectFundamental Research Funds for the Central Universities[YJ201962] ; NSFC[11371349] ; NSFC[11688101]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000530702100005
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51434
Collection应用数学研究所
Corresponding AuthorHuang, Feimin
Affiliation1.Sichuan Univ, Coll Math, Chengdu 610065, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
He, Lin,Huang, Feimin. Nonlinear stability of large amplitude viscous shock wave for general viscous gas[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2020,269(2):1226-1242.
APA He, Lin,&Huang, Feimin.(2020).Nonlinear stability of large amplitude viscous shock wave for general viscous gas.JOURNAL OF DIFFERENTIAL EQUATIONS,269(2),1226-1242.
MLA He, Lin,et al."Nonlinear stability of large amplitude viscous shock wave for general viscous gas".JOURNAL OF DIFFERENTIAL EQUATIONS 269.2(2020):1226-1242.
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
[He, Lin]'s Articles
[Huang, Feimin]'s Articles
Baidu academic
Similar articles in Baidu academic
[He, Lin]'s Articles
[Huang, Feimin]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[He, Lin]'s Articles
[Huang, Feimin]'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.