Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks
文献类型：期刊论文
| 作者 | Huang FeiMin2 ; Wang Yi2; Wang Yong2; Yang Tong1
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2015 |
| 卷号 | 58期号:4页码:653-672 |
| 关键词 | NONLINEAR HYPERBOLIC SYSTEMS ZERO-DISSIPATION LIMIT CONSERVATION-LAWS RAREFACTION WAVES EULER EQUATIONS BOLTZMANN-EQUATION CONVERGENCE RATE GAS-DYNAMICS APPROXIMATIONS STABILITY isentropic Navier-Stokes equations isentropic Euler equations interacting shock vanishing viscosity entropy solution |
| ISSN号 | 1674-7283 |
| 其他题名 | Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks |
| 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 |
| CSCD记录号 | CSCD:5622286 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/54786]  |
| 专题 | 应用数学研究所 |
| 作者单位 | 1.伦敦城市大学 2.中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Huang FeiMin,Wang Yi,Wang Yong,et al. Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks[J]. SCIENCE CHINA-MATHEMATICS,2015,58(4):653-672. |
| APA | Huang FeiMin,Wang Yi,Wang Yong,&Yang Tong.(2015).Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks.SCIENCE CHINA-MATHEMATICS,58(4),653-672. |
| MLA | Huang FeiMin,et al."Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks".SCIENCE CHINA-MATHEMATICS 58.4(2015):653-672. |
入库方式： OAI收割
来源：数学与系统科学研究院
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