Stability of Planar Rarefaction Wave to 3D Full Compressible Navier-Stokes Equations

doi:10.1007/s00205-018-1260-2

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	Stability of Planar Rarefaction Wave to 3D Full Compressible Navier-Stokes Equations
	Li, Lin-an 1,2; Wang, Teng 3; Wang, Yi2,4
	2018-12-01
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	230 期号:3 页码:911-937
摘要	We prove time-asymptotic stability toward the planar rarefaction wave for the three-dimensional full, compressible Navier-Stokes equations with the heat-conductivities in an infinite long flat nozzle domain R x T-2. Compared with one-dimensional case, the proof here is based on our new observations on the cancellations on the flux terms and viscous terms due to the underlying wave structures, which are crucial for overcoming the difficulties due to the wave propagation in the transverse directions x(2) and x(3) and its interactions with the planar rarefaction wave in x(1) direction.
DOI	10.1007/s00205-018-1260-2
语种	英语
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000443822500003
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/30949
专题	应用数学研究所
通讯作者	Li, Lin-an
作者单位	1.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, CEMS,HCMS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Lin-an,Wang, Teng,Wang, Yi. Stability of Planar Rarefaction Wave to 3D Full Compressible Navier-Stokes Equations[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2018,230(3):911-937.
APA	Li, Lin-an,Wang, Teng,&Wang, Yi.(2018).Stability of Planar Rarefaction Wave to 3D Full Compressible Navier-Stokes Equations.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,230(3),911-937.
MLA	Li, Lin-an,et al."Stability of Planar Rarefaction Wave to 3D Full Compressible Navier-Stokes Equations".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 230.3(2018):911-937.