Uniform regularity for the free surface compressible Navier-Stokes equations with or without surface tension
文献类型：期刊论文
| 作者 | Mei, Yu1; Wang, Yong2 ; Xin, Zhouping3
|
| 刊名 | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
 |
| 出版日期 | 2018-02-01 |
| 卷号 | 28期号:2页码:259-336 |
| 关键词 | Vanishing viscosity surface tension free surface compressible Navier-Stokes |
| ISSN号 | 0218-2025 |
| DOI | 10.1142/S0218202518500082 |
| 英文摘要 | In this paper, we investigate the uniform regularity of solutions to the three-dimensional isentropic compressible Navier-Stokes system with free surfaces and study the corresponding asymptotic limits of such solutions to that of the compressible Euler system for vanishing viscosity and surface tension. It is shown that there exists a unique strong solution to the free boundary problem for the compressible Navier-Stokes system in a finite time interval which is independent of the viscosity and the surface tension. The solution is uniformly bounded both in W-1,W-infinity and a conormal Sobolev space. It is also shown that the boundary layer for the density is weaker than the one for the velocity field. Based on such uniform estimates, the asymptotic limits, to the free boundary problem for the ideal compressible Euler system with or without surface tension as both the viscosity and the surface tension tend to zero, are established by a strong convergence argument. |
| 资助项目 | National Natural Sciences Foundation of China[11401565] ; National Natural Sciences Foundation of China[11688101] ; Zheng Ge Ru Funds ; Hong Kong RGC Earmarked Research Grants[CUHK4041/11P] ; Hong Kong RGC Earmarked Research Grants[CUHK4048/13P] ; NSFC/RGC Joint Research Scheme Grant[CUHK443/14] ; Croucher Foundation ; Focus Area Grant at the Chinese University of Hong Kong |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000418859000003 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/27035]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Mei, Yu |
| 作者单位 | 1.Chinese Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 3.Chinese Univ Hong Kong, Inst Math Sci, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Mei, Yu,Wang, Yong,Xin, Zhouping. Uniform regularity for the free surface compressible Navier-Stokes equations with or without surface tension[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2018,28(2):259-336. |
| APA | Mei, Yu,Wang, Yong,&Xin, Zhouping.(2018).Uniform regularity for the free surface compressible Navier-Stokes equations with or without surface tension.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,28(2),259-336. |
| MLA | Mei, Yu,et al."Uniform regularity for the free surface compressible Navier-Stokes equations with or without surface tension".MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 28.2(2018):259-336. |
入库方式： OAI收割
来源：数学与系统科学研究院
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