Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass
文献类型:期刊论文
作者 | He, Lin1,2; Wang, Yong2,3 |
刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS |
出版日期 | 2022-02-15 |
卷号 | 310页码:327-361 |
ISSN号 | 0022-0396 |
关键词 | Euler equations Navier-Stokes equations Vanishing viscosity Compensated compactness framework Free boundary Density-dependent viscosity |
DOI | 10.1016/j.jde.2021.11.015 |
英文摘要 | Assume the initial data of compressible Euler equations has finite energy and total mass. We can construct a sequence of solutions of one-dimensional compressible Navier-Stokes equations (density-dependent viscosity) with stress-free boundary conditions, so that, up to a subsequence, the sequence of solutions of compressible Navier-Stokes equations converges to a finite-energy weak solution of compressible Euler equations. Hence the inviscid limit of the compressible Navier-Stokes is justified. It is worth pointing out that our result covers the interesting case of the Saint-Venant model for shallow water (i.e., alpha = 1, gamma = 2). (c) 2021 Elsevier Inc. All rights reserved. |
资助项目 | National Natural Science Foundation of China[12001388] ; Fundamental Research Funds for the Central Universities[YJ201962] ; Sichuan Youth Science and Technology Foundation[2021JDTD0024] ; Sichuan Youth Science and Technology Foundation[11771429] ; Sichuan Youth Science and Technology Foundation[11671237] ; Sichuan Youth Science and Technology Foundation[12022114] ; Sichuan Youth Science and Technology Foundation[11688101] ; Youth Innovation Promotion Association of Chinese Academy of Sciences[2019002] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
WOS记录号 | WOS:000754812400010 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60002] |
专题 | 应用数学研究所 |
通讯作者 | Wang, Yong |
作者单位 | 1.Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | He, Lin,Wang, Yong. Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2022,310:327-361. |
APA | He, Lin,&Wang, Yong.(2022).Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass.JOURNAL OF DIFFERENTIAL EQUATIONS,310,327-361. |
MLA | He, Lin,et al."Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass".JOURNAL OF DIFFERENTIAL EQUATIONS 310(2022):327-361. |
入库方式: OAI收割
来源:数学与系统科学研究院
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