Vanishing Viscosity Limit to the Planar Rarefaction Wave for the Two-Dimensional Compressible Navier-Stokes Equations

doi:10.1007/s00220-019-03580-8

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	Vanishing Viscosity Limit to the Planar Rarefaction Wave for the Two-Dimensional Compressible Navier-Stokes Equations
	Li, Lin-An 1,3; Wang, Dehua 2; Wang, Yi1,3
	2019-09-30
发表期刊	COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN	0010-3616
页码	32
摘要	The vanishing viscosity limit of the two-dimensional (2D) compressible and isentropic Navier-Stokes equations is studied in the case that the corresponding 2D inviscid Euler equations admit a planar rarefaction wave solution. It is proved that there exists a family of smooth solutions for the 2D compressible Navier-Stokes equations converging to the planar rarefaction wave solution with arbitrary strength for the 2D Euler equations. A uniform convergence rate is obtained in terms of the viscosity coefficients away from the initial time. In the proof, the hyperbolic wave is crucially introduced to recover the physical viscosities of the inviscid rarefaction wave profile, in order to rigorously justify the vanishing viscosity limit.
DOI	10.1007/s00220-019-03580-8
收录类别	SCI
语种	英语
资助项目	National Science Foundation[DMS-1312800] ; National Science Foundation[DMS-1613213] ; NSFC[11671385] ; NSFC[11688101] ; CAS Interdisciplinary Innovation Team
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000496832300001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50718
专题	应用数学研究所
通讯作者	Li, Lin-An
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Lin-An,Wang, Dehua,Wang, Yi. Vanishing Viscosity Limit to the Planar Rarefaction Wave for the Two-Dimensional Compressible Navier-Stokes Equations[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2019:32.
APA	Li, Lin-An,Wang, Dehua,&Wang, Yi.(2019).Vanishing Viscosity Limit to the Planar Rarefaction Wave for the Two-Dimensional Compressible Navier-Stokes Equations.COMMUNICATIONS IN MATHEMATICAL PHYSICS,32.
MLA	Li, Lin-An,et al."Vanishing Viscosity Limit to the Planar Rarefaction Wave for the Two-Dimensional Compressible Navier-Stokes Equations".COMMUNICATIONS IN MATHEMATICAL PHYSICS (2019):32.