Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional full compressible Navier-Stokes equations | |
Li, Xing3; Li, Lin-An1,2 | |
刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS |
2020-08-05 | |
卷号 | 269期号:4页码:3160-3195 |
关键词 | Euler equations Planar rarefaction wave Hyperbolic wave Vanishing viscosity Navier-Stokes equations |
ISSN号 | 0022-0396 |
DOI | 10.1016/j.jde.2020.02.026 |
英文摘要 | 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. |
资助项目 | NSFC[11971320] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
WOS记录号 | WOS:000534488300015 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51497] |
专题 | 中国科学院数学与系统科学研究院 |
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.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China |
推荐引用方式 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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