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vanishingviscosityofisentropicnavierstokesequationsforinteractingshocks
Huang Feimin1; Wang Yi1; Wang Yong1; Yang Tong2
2015
Source Publicationsciencechinamathematics
ISSN1674-7283
Volume58Issue:4Pages:653
AbstractWe study the vanishing viscosity of the Navier-Stokes equations for interacting shocks. Given an entropy solution to p-system which consists of two different families of shocks interacting at some positive time, we show that such entropy solution is the vanishing viscosity limit of a family of global smooth solutions to the isentropic Navier-Stokes equations. The key point of the proofs is to derive the estimates separately before and after the interaction time and connect the incoming and outgoing viscous shock profiles.
Language英语
Funding Project[National Basic Research Program of China (973 Program)] ; [National Center for Mathematics and Interdisciplinary Sciences] ; [Academy of Mathematics and Systems Science] ; [Chinese Academy of Sciences] ; [Chinese Academy of Sciences Program for Cross & Cooperative Team of the Science & Technology Innovation] ; [National Natural Sciences Foundation of China] ; [General Research Fund of Hong Kong]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/41447
Collection应用数学研究所
Affiliation1.中国科学院数学与系统科学研究院
2.香港城市大学
Recommended Citation
GB/T 7714
Huang Feimin,Wang Yi,Wang Yong,et al. vanishingviscosityofisentropicnavierstokesequationsforinteractingshocks[J]. sciencechinamathematics,2015,58(4):653.
APA Huang Feimin,Wang Yi,Wang Yong,&Yang Tong.(2015).vanishingviscosityofisentropicnavierstokesequationsforinteractingshocks.sciencechinamathematics,58(4),653.
MLA Huang Feimin,et al."vanishingviscosityofisentropicnavierstokesequationsforinteractingshocks".sciencechinamathematics 58.4(2015):653.
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