Large time behavior for the nonstationary Navier-Stokes flows in the half-space
文献类型：期刊论文
| 作者 | Han, Pigong
|
| 刊名 | ADVANCES IN MATHEMATICS
 |
| 出版日期 | 2016-01-22 |
| 卷号 | 288页码:1-58 |
| 关键词 | Navier-Stokes flow Stokes system Solution formula Strong solution Half-space |
| ISSN号 | 0001-8708 |
| DOI | 10.1016/j.aim.2015.10.010 |
| 英文摘要 | Asymptotic behavior of higher-order spatial derivatives in L-r is established for incompressible Navier-Stokes flows in the half-space, which is a long-time unsolved problem. The main tools employed for solving this problem are the nonstationary Stokes solution formula, and the a priori estimates of the steady Stokes system in the half-space. Another main result is devoted to studying time L-1-decay, and a partial answer to this open problem is given by means of a crucial and new estimate for the Stokes flow. Two Theorems 1.1, 1.2 in this article can be regarded as a great improvement and powerful extension of the work in [6,38]. (C) 2015 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000368468300001 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21824]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Han, Pigong |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Han, Pigong. Large time behavior for the nonstationary Navier-Stokes flows in the half-space[J]. ADVANCES IN MATHEMATICS,2016,288:1-58. |
| APA | Han, Pigong.(2016).Large time behavior for the nonstationary Navier-Stokes flows in the half-space.ADVANCES IN MATHEMATICS,288,1-58. |
| MLA | Han, Pigong."Large time behavior for the nonstationary Navier-Stokes flows in the half-space".ADVANCES IN MATHEMATICS 288(2016):1-58. |
入库方式： OAI收割
来源：数学与系统科学研究院
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