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Stability of Planar Rarefaction Wave to 3D Full Compressible Navier-Stokes Equations
Li, Lin-an1,2; Wang, Teng3; Wang, Yi2,4
2018-12-01
Source PublicationARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN0003-9527
Volume230Issue:3Pages:911-937
AbstractWe 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.
DOI10.1007/s00205-018-1260-2
Language英语
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
WOS IDWOS:000443822500003
PublisherSPRINGER
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30922
Collection应用数学研究所
Affiliation1.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
Recommended Citation
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.
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