| INHOMOGENEOUS INCOMPRESSIBLE VISCOUS FLOWS WITH SLOWLY VARYING INITIAL DATA | |
Chemin, Jean-Yves1; Zhang, Ping2,3,4
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| 2018-11-01 | |
| Source Publication | JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU
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| ISSN | 1474-7480 |
| Volume | 17Issue:5Pages:1121-1172 |
| Abstract | The purpose of this paper is to provide a large class of initial data which generates global smooth solution of the 3D inhomogeneous incompressible Navier-Stokes system in the whole space R-3. This class of data is based on functions which vary slowly in one direction. The idea is that 2D inhomogeneous Navier-Stokes system with large data is globally well-posed and we construct the 3D approximate solutions by the 2D solutions with a parameter. One of the key point of this study is the investigation of the time decay properties of the solutions to the 2D inhomogeneous Navier-Stokes system. We obtained the same optimal decay estimates as the solutions of 2D homogeneous Navier-Stokes system. |
| Keyword | inhomogeneous incompressible Navier-Stokes equations slow variable decay estimate anisotropic Littlewood-Paley theory |
| DOI | 10.1017/S1474748016000323 |
| Language | 英语 |
| Funding Project | NSF of China[11371347] ; Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000446389800004 |
| Publisher | CAMBRIDGE UNIV PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/31376 |
| Collection | 数学所 |
| Corresponding Author | Chemin, Jean-Yves |
| Affiliation | 1.Univ Paris 06, Lab JL Lions, UMR 7598, F-75230 Paris 05, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Chemin, Jean-Yves,Zhang, Ping. INHOMOGENEOUS INCOMPRESSIBLE VISCOUS FLOWS WITH SLOWLY VARYING INITIAL DATA[J]. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU,2018,17(5):1121-1172. |
| APA | Chemin, Jean-Yves,&Zhang, Ping.(2018).INHOMOGENEOUS INCOMPRESSIBLE VISCOUS FLOWS WITH SLOWLY VARYING INITIAL DATA.JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU,17(5),1121-1172. |
| MLA | Chemin, Jean-Yves,et al."INHOMOGENEOUS INCOMPRESSIBLE VISCOUS FLOWS WITH SLOWLY VARYING INITIAL DATA".JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU 17.5(2018):1121-1172. |
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