Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass

doi:10.1016/j.jde.2021.11.015

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	Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass
	He, Lin 2,3; Wang, Yong 1,3
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2022-02-15
卷号	310 页码:327-361
关键词	Euler equations Navier-Stokes equations Vanishing viscosity Compensated compactness framework Free boundary Density-dependent viscosity
ISSN号	0022-0396
DOI	10.1016/j.jde.2021.11.015
英文摘要	Assume the initial data of compressible Euler equations has finite energy and total mass. We can construct a sequence of solutions of one-dimensional compressible Navier-Stokes equations (density-dependent viscosity) with stress-free boundary conditions, so that, up to a subsequence, the sequence of solutions of compressible Navier-Stokes equations converges to a finite-energy weak solution of compressible Euler equations. Hence the inviscid limit of the compressible Navier-Stokes is justified. It is worth pointing out that our result covers the interesting case of the Saint-Venant model for shallow water (i.e., alpha = 1, gamma = 2). (c) 2021 Elsevier Inc. All rights reserved.
资助项目	National Natural Science Foundation of China[12001388] ; Fundamental Research Funds for the Central Universities[YJ201962] ; Sichuan Youth Science and Technology Foundation[2021JDTD0024] ; Sichuan Youth Science and Technology Foundation[11771429] ; Sichuan Youth Science and Technology Foundation[11671237] ; Sichuan Youth Science and Technology Foundation[12022114] ; Sichuan Youth Science and Technology Foundation[11688101] ; Youth Innovation Promotion Association of Chinese Academy of Sciences[2019002]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000754812400010
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60002]
专题	应用数学研究所
通讯作者	Wang, Yong
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	He, Lin,Wang, Yong. Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2022,310:327-361.
APA	He, Lin,&Wang, Yong.(2022).Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass.JOURNAL OF DIFFERENTIAL EQUATIONS,310,327-361.
MLA	He, Lin,et al."Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass".JOURNAL OF DIFFERENTIAL EQUATIONS 310(2022):327-361.