On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain
文献类型：期刊论文
| 作者 | He, Cheng1; Miyakawa, Tetsuro2 |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2009-03-15 |
| 卷号 | 246期号:6页码:2355-2386 |
| 关键词 | Navier-Stokes equations Exterior problem Weighted estimates Total net force |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2008.09.003 |
| 英文摘要 | We study the time-decay of weighted norms of weak and strong solutions to the Navier-Stokes equations in a 3D exterior domain. Moment estimates for weak solutions and weighted L(q)-estimates for strong solutions are deduced, both of which seem to be optimal. The relation is discussed between the space-time decay and the vanishing of the total net force exerted by the fluid to the body. A class of initial data is given so that the total net force associated to the corresponding fluid flows does not vanish. (C) 2008 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation[10431060] ; 973 Key Project[2006CI3805902] ; Innovative Foundation of CAS, People's Republic of China ; MIYAKAWA[18450046] ; Japan Society for the Promotion of Science[17654038] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000264013600008 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8372]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | He, Cheng |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Kanazawa Univ, Div Math & Phys, Kanazawa, Ishikawa 9201192, Japan |
| 推荐引用方式 GB/T 7714 | He, Cheng,Miyakawa, Tetsuro. On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2009,246(6):2355-2386. |
| APA | He, Cheng,&Miyakawa, Tetsuro.(2009).On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain.JOURNAL OF DIFFERENTIAL EQUATIONS,246(6),2355-2386. |
| MLA | He, Cheng,et al."On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain".JOURNAL OF DIFFERENTIAL EQUATIONS 246.6(2009):2355-2386. |
入库方式： OAI收割
来源：数学与系统科学研究院
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