KMS Of Academy of mathematics and systems sciences, CAS
| Stability of Planar Rarefaction Wave to 3D Full Compressible Navier-Stokes Equations | |
Li, Lin-an1,2; Wang, Teng3; Wang, Yi2,4
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| 2018-12-01 | |
| Source Publication | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
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| ISSN | 0003-9527 |
| Volume | 230Issue:3Pages:911-937 |
| Abstract | 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 |
| Language | 英语 |
| WOS Research Area | Mathematics ; Mechanics |
| WOS Subject | Mathematics, Applied ; Mechanics |
| WOS ID | WOS:000443822500003 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/30922 |
| Collection | 应用数学研究所 |
| Corresponding Author | Li, Lin-an |
| Affiliation | 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 |
| 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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