Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data | |
Zhang, Ping1,2; Zhang, Zhifei3 | |
刊名 | REVISTA MATEMATICA IBEROAMERICANA |
2018 | |
卷号 | 34期号:1页码:355-395 |
关键词 | Inhomogeneous Navier-Stokes system well-posedness |
ISSN号 | 0213-2230 |
DOI | 10.4171/RMI/988 |
英文摘要 | In this paper, we investigate the global well-posedness of 3-D incompressible inhomogeneous Navier-Stokes system with ill-prepared initial data of the form (1 + epsilon(beta) alpha(0)(x(h), epsilon x(3)), (epsilon(1-alpha) nu(h)(0), epsilon(-alpha) nu(3)(0))(x(h), epsilon x(3)) for any alpha is an element of]0, 1/3[, ss > 2 alpha, and epsilon being sufficiently small. This result improves the global well- posedness result for so-called well-prepared initial data, which corresponds to the case of alpha = 0. |
资助项目 | NSF of China[11371347] ; NSF of China[11371039] ; NSF of China[11425103] ; Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | EUROPEAN MATHEMATICAL SOC |
WOS记录号 | WOS:000425898000009 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29700] |
专题 | 数学所 |
通讯作者 | Zhang, Ping |
作者单位 | 1.Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China |
推荐引用方式 GB/T 7714 | Zhang, Ping,Zhang, Zhifei. Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data[J]. REVISTA MATEMATICA IBEROAMERICANA,2018,34(1):355-395. |
APA | Zhang, Ping,&Zhang, Zhifei.(2018).Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data.REVISTA MATEMATICA IBEROAMERICANA,34(1),355-395. |
MLA | Zhang, Ping,et al."Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data".REVISTA MATEMATICA IBEROAMERICANA 34.1(2018):355-395. |
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