KMS Of Academy of mathematics and systems sciences, CAS
| Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional full compressible Navier-Stokes equations | |
| Li, Xing1; Li, Lin-An2,3 | |
| 2020-08-05 | |
| Source Publication | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| ISSN | 0022-0396 |
| Volume | 269Issue:4Pages:3160-3195 |
| Abstract | 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. |
| Keyword | Euler equations Planar rarefaction wave Hyperbolic wave Vanishing viscosity Navier-Stokes equations |
| DOI | 10.1016/j.jde.2020.02.026 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NSFC[11971320] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000534488300015 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51498 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Li, Lin-An |
| Affiliation | 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 |
| Recommended Citation 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. |
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