Long-time behavior for Navier-Stokes flows in a two-dimensional exterior domain
文献类型：期刊论文
| 作者 | Han, Pigong
|
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2016-02-01 |
| 卷号 | 270期号:3页码:1091-1152 |
| 关键词 | Steady Stokes system Navier-Stokes flow Exterior domain |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/j.jfa.2015.11.005 |
| 英文摘要 | There are several long standing problems on the incompressible Navier-Stokes flows in 2D exterior domains, which claim how to characterize L-1-summability of the 2D N-S flows; whether the total net force exerted on the boundary is finite; and how to establish decay results of higher-order spatial derivatives, including the weighted cases. In order to solve these questions, we firstly find some types of new technical inequalities, which are used to overcome the difficulties caused by the domain boundary; using L-q - L-r properties for non-stationary Stokes flows, together with elliptic estimates for the steady Stokes system, we can avoid the strong singularity and answer these mentioned problems completely. It should be pointed out that main results in this article are motivated by the works in [5,37], respectively. (C) 2015 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000368315800008 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21731]  |
| 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. Long-time behavior for Navier-Stokes flows in a two-dimensional exterior domain[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2016,270(3):1091-1152. |
| APA | Han, Pigong.(2016).Long-time behavior for Navier-Stokes flows in a two-dimensional exterior domain.JOURNAL OF FUNCTIONAL ANALYSIS,270(3),1091-1152. |
| MLA | Han, Pigong."Long-time behavior for Navier-Stokes flows in a two-dimensional exterior domain".JOURNAL OF FUNCTIONAL ANALYSIS 270.3(2016):1091-1152. |
入库方式： OAI收割
来源：数学与系统科学研究院
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