Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional full compressible Navier-Stokes equations

doi:10.1016/j.jde.2020.02.026

CSpace

	Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional full compressible Navier-Stokes equations
	Li, Xing 1; Li, Lin-An 2,3
	2020-08-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	269 期号:4 页码:3160-3195
摘要	The vanishing viscosity limit for the multi-dimensional compressible Navier-Stokes equations to the corresponding Euler equations is a difficult and challenging problem in the mathematics. Recently, L.Li, D.Wang and Y.Wang [17] verified that the solutions for the 2D compressible isentropic Navier-Stokes equations converge to the planar rarefaction wave solution for the corresponding 2D Euler equations as viscosity vanishes with a convergence rate epsilon(1/6) vertical bar ln epsilon vertical bar. In this paper, the vanishing viscosity limit of 2D non-isentropic compressible Navier-Stokes equations is studied. In contrast to the work [17], the convergence rate for the 2D full compressible Navier-Stokes equations is improved to epsilon(2/7) vertical bar ln epsilon vertical bar(2) by choosing a different scaling argument and performing more detailed energy estimates. (C) 2020 Elsevier Inc. All rights reserved.
关键词	Euler equations Planar rarefaction wave Hyperbolic wave Vanishing viscosity Navier-Stokes equations
DOI	10.1016/j.jde.2020.02.026
收录类别	SCI
语种	英语
资助项目	NSFC[11971320]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000534488300015
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51498
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Lin-An
作者单位	1.Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Li, Xing,Li, Lin-An. Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional full compressible Navier-Stokes equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2020,269(4):3160-3195.
APA	Li, Xing,&Li, Lin-An.(2020).Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional full compressible Navier-Stokes equations.JOURNAL OF DIFFERENTIAL EQUATIONS,269(4),3160-3195.
MLA	Li, Xing,et al."Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional full compressible Navier-Stokes equations".JOURNAL OF DIFFERENTIAL EQUATIONS 269.4(2020):3160-3195.