Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient
文献类型：期刊论文
| 作者 | Liao, Jiajiang1,2; Sueur, Franck3,4; Zhang, Ping1,2,5 |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2020-05-05 |
| 卷号 | 268期号:10页码:5855-5891 |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2019.11.018 |
| 英文摘要 | It is well-known that the 3D incompressible Euler equations admit some local-in-time solutions for which the vorticity is piecewise smooth and discontinuous across a smooth time-dependent hypersurface which evolves with the flow. In this paper we prove that such a solution can be obtained as zero-viscosity limit of strong solutions to the Navier-Stokes equations whose vorticity has sharp variations near the hypersurface associated with the inviscid limit. Indeed we exhibit some sequences of exact solutions to the Navier-Stokes equations with vanishing viscosity which are given by multi-scale asymptotic expansions involving some characteristic boundary layers given by some linear PDEs. The convergence and the validity of the expansion are guaranteed on the time interval associated with the solution to the Euler equations. (C) 2019 Elsevier Inc. All rights reserved. |
| 资助项目 | Agence Nationale de la Recherche[ANR-15-CE40-0010] ; Agence Nationale de la Recherche[ANR-16-CE40-0027-01] ; Agence Nationale de la Recherche[ANR-18-CE40-0027-01] ; NSF of China[11371347] ; NSF of China[11688101] ; Morningside Center of Mathematics of The Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| WOS记录号 | WOS:000517758500008 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50837]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Ping |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France 4.Inst Univ France, Paris, France 5.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liao, Jiajiang,Sueur, Franck,Zhang, Ping. Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2020,268(10):5855-5891. |
| APA | Liao, Jiajiang,Sueur, Franck,&Zhang, Ping.(2020).Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient.JOURNAL OF DIFFERENTIAL EQUATIONS,268(10),5855-5891. |
| MLA | Liao, Jiajiang,et al."Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient".JOURNAL OF DIFFERENTIAL EQUATIONS 268.10(2020):5855-5891. |
入库方式： OAI收割
来源：数学与系统科学研究院
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