Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks

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	Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks
其他题名	Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks
	Huang FeiMin1 ; Wang Yi1 ; Wang Yong1 ; Yang Tong 2
	2015
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	58 期号:4 页码:653-672
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.
其他摘要	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.
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
收录类别	CSCD
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]
CSCD记录号	CSCD:5622286
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/54787
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.伦敦城市大学
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.