vanishingviscosityofisentropicnavierstokesequationsforinteractingshocks
Huang Feimin1; Wang Yi1; Wang Yong1; Yang Tong2
刊名sciencechinamathematics
2015
卷号58期号:4页码:653
ISSN号1674-7283
英文摘要We 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.
资助项目[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]
语种英语
内容类型期刊论文
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/41446]  
专题应用数学研究所
作者单位1.中国科学院数学与系统科学研究院
2.香港城市大学
推荐引用方式
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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