On Weighted Estimates for the Stokes Flows, with Application to the Navier-Stokes Equations
文献类型：期刊论文
| 作者 | Han, Pigong1,2
|
| 刊名 | JOURNAL OF MATHEMATICAL FLUID MECHANICS
 |
| 出版日期 | 2018-09-01 |
| 卷号 | 20期号:3页码:1155-1172 |
| 关键词 | Stokes flow Solution formula Weighted estimate Strong solution |
| ISSN号 | 1422-6928 |
| DOI | 10.1007/s00021-018-0360-y |
| 英文摘要 | Weighted estimates on the Stokes flows are given by means of the Stokes solution formula in the half space, which can be regarded as a complement and improvement on the previous known results. There are two main difficulties: in weighted cases, usual estimates for the Stokes flows do not work any more, and the projection operator becomes unbounded possibly. Finally, as an application, employing these weighted estimates on the Stokes solution, we establish some weighted decay results for the Navier-Stokes flows. |
| 语种 | 英语 |
| WOS记录号 | WOS:000441287600013 |
| 出版者 | SPRINGER BASEL AG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30839]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Han, Pigong |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Han, Pigong. On Weighted Estimates for the Stokes Flows, with Application to the Navier-Stokes Equations[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS,2018,20(3):1155-1172. |
| APA | Han, Pigong.(2018).On Weighted Estimates for the Stokes Flows, with Application to the Navier-Stokes Equations.JOURNAL OF MATHEMATICAL FLUID MECHANICS,20(3),1155-1172. |
| MLA | Han, Pigong."On Weighted Estimates for the Stokes Flows, with Application to the Navier-Stokes Equations".JOURNAL OF MATHEMATICAL FLUID MECHANICS 20.3(2018):1155-1172. |
入库方式： OAI收割
来源：数学与系统科学研究院
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