Decay Results of the Nonstationary Navier-Stokes Flows in Half-Spaces
文献类型：期刊论文
| 作者 | Han, Pigong1,2
|
| 刊名 | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
 |
| 出版日期 | 2018-12-01 |
| 卷号 | 230期号:3页码:977-1015 |
| ISSN号 | 0003-9527 |
| DOI | 10.1007/s00205-018-1263-z |
| 英文摘要 | There is a long standing problem on the nonstationary Navier-Stokes equations which pertains to how to characterize the L-1-time asymptotic expansion of the Navier-Stokes flows in the half space. Beyond a few partial results, new progress has not yet to be made on this open question. In this article, we give a confirmed answer to this problem; namely, a thorough characterization on L-1-summability is revealed. In order to prove this result, we need to avoid the unboundedness of the projection operator, which is overcome by treating an elliptic Neumann problem. Finally, using the weighted estimates on the heat kernel's convolution, we obtain the exact profile structure of the asymptotic expansion in L1(R+n). In addition, some crucial estimates on the fractional spatial derivatives of the non-stationary Stokes and Navier-Stokes flows are established for the first time, which allows for a better understanding of the L-1-decay problem. |
| 语种 | 英语 |
| WOS记录号 | WOS:000443822500005 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30951]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Han, Pigong |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Han, Pigong. Decay Results of the Nonstationary Navier-Stokes Flows in Half-Spaces[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2018,230(3):977-1015. |
| APA | Han, Pigong.(2018).Decay Results of the Nonstationary Navier-Stokes Flows in Half-Spaces.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,230(3),977-1015. |
| MLA | Han, Pigong."Decay Results of the Nonstationary Navier-Stokes Flows in Half-Spaces".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 230.3(2018):977-1015. |
入库方式： OAI收割
来源：数学与系统科学研究院
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