Global Regularity of 2D Density Patches for Viscous Inhomogeneous Incompressible Flow with General Density: Low Regularity Case | |
Liao, Xian1,2,3; Zhang, Ping2,4 | |
2019-04-01 | |
发表期刊 | COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS |
ISSN | 0010-3640 |
卷号 | 72期号:4页码:835-884 |
摘要 | This paper presents some progress toward an open question proposed by P.-L. Lions [26] concerning the propagation of regularities of density patches for viscous inhomogeneous incompressible flow. We first establish the global-in-time well-posedness of the two-dimensional inhomogeneous incompressible Navier-Stokes system with initial density rho 0=eta(1)1 Omega(0)+eta(2)1 Omega(c)(0). Here (eta(1),eta(2)) is any pair of positive constants and Omega(0) is a bounded, simply connected W-3,W-p(R-2) domain. We then prove that for any positive time t, the density rho(t)=eta(1)1(Omega(t))+eta(2)1(Omega(t)c), with the domain Omega(t) preserving the W-3,W-p-boundary regularity. (c) 2018 Wiley Periodicals, Inc. |
DOI | 10.1002/cpa.21782 |
语种 | 英语 |
资助项目 | MCM ; DFG[SFB 1060] ; Universitat Bonn ; NSF of China[11371347] ; NSF of China[11688101] ; National Center for Mathematics and Interdisciplinary Sciences |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000458660800004 |
出版者 | WILEY |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/32557 |
专题 | 数学所 |
通讯作者 | Liao, Xian |
作者单位 | 1.Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 1000190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 1000190, Peoples R China 4.Univ Chinese Acad, Sch Math Sci, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | Liao, Xian,Zhang, Ping. Global Regularity of 2D Density Patches for Viscous Inhomogeneous Incompressible Flow with General Density: Low Regularity Case[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,2019,72(4):835-884. |
APA | Liao, Xian,&Zhang, Ping.(2019).Global Regularity of 2D Density Patches for Viscous Inhomogeneous Incompressible Flow with General Density: Low Regularity Case.COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,72(4),835-884. |
MLA | Liao, Xian,et al."Global Regularity of 2D Density Patches for Viscous Inhomogeneous Incompressible Flow with General Density: Low Regularity Case".COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 72.4(2019):835-884. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Liao, Xian]的文章 |
[Zhang, Ping]的文章 |
百度学术 |
百度学术中相似的文章 |
[Liao, Xian]的文章 |
[Zhang, Ping]的文章 |
必应学术 |
必应学术中相似的文章 |
[Liao, Xian]的文章 |
[Zhang, Ping]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论