Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks

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	Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks
	Huang FeiMin 2; Wang Yi 2; Wang Yong 2; Yang Tong 1
刊名	SCIENCE CHINA-MATHEMATICS
	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
内容类型	期刊论文
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.