KMS Of Academy of mathematics and systems sciences, CAS
vanishingviscosityofisentropicnavierstokesequationsforinteractingshocks | |
Huang Feimin1; Wang Yi1; Wang Yong1; Yang Tong2 | |
2015 | |
发表期刊 | sciencechinamathematics |
ISSN | 1674-7283 |
卷号 | 58期号:4页码:653 |
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. |
语种 | 英语 |
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] |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/41447 |
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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