Weighted Decay Results for the Nonstationary Stokes Flow and Navier-Stokes Equations in Half Spaces
文献类型：期刊论文
| 作者 | Han, Pigong
|
| 刊名 | JOURNAL OF MATHEMATICAL FLUID MECHANICS
 |
| 出版日期 | 2015-12-01 |
| 卷号 | 17期号:4页码:599-626 |
| 关键词 | Navier-Stokes equations Stokes solution formula large-time behavior strong solution |
| ISSN号 | 1422-6928 |
| DOI | 10.1007/s00021-015-0209-6 |
| 英文摘要 | The weighted L-q - L-q (q = 1,infinity) estimates for the Stokes flow are given in half spaces. Further large-time weighted decays for the second spatial derivatives of the Navier-Stokes equations are established, where the unboundedness of the projection operator P : L-q(R-+(n)) -> L-sigma(q) (R-+(n)) (q = 1,infinity) is overcome by employing a decomposition for the convection term. The main results in this article are motivated by the work in Bae (J Differ Equ 222:1-20, 2006; J Math Fluid Mech 10:503-530, 2008) and Bae and Jin (Proc R Soc Edinb Sect A 135:461-477, 2005). |
| 语种 | 英语 |
| WOS记录号 | WOS:000363058600001 |
| 出版者 | SPRINGER BASEL AG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21035]  |
| 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. Weighted Decay Results for the Nonstationary Stokes Flow and Navier-Stokes Equations in Half Spaces[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS,2015,17(4):599-626. |
| APA | Han, Pigong.(2015).Weighted Decay Results for the Nonstationary Stokes Flow and Navier-Stokes Equations in Half Spaces.JOURNAL OF MATHEMATICAL FLUID MECHANICS,17(4),599-626. |
| MLA | Han, Pigong."Weighted Decay Results for the Nonstationary Stokes Flow and Navier-Stokes Equations in Half Spaces".JOURNAL OF MATHEMATICAL FLUID MECHANICS 17.4(2015):599-626. |
入库方式： OAI收割
来源：数学与系统科学研究院
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