Decay results of solutions to the incompressible Navier-Stokes flows in a half space
文献类型：期刊论文
| 作者 | Han, Pigong
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2011-05-15 |
| 卷号 | 250期号:10页码:3937-3959 |
| 关键词 | Navier-Stokes flows Strong solution Decay rate Half space |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2010.11.018 |
| 英文摘要 | In a half space, we consider the asymptotic behavior of the strong solution for the non-stationary Navier-Stokes equations. In particular, the decay rates of the second order derivatives of the Navier-Stokes flows in L(r)(R(+)(n)) (n >= 2) with 1 <= r <= infinity are derived by using L(q) - L(r) estimates and a clever analysis on the fractional powers of the Stokes operator. In addition, we prove that the strong solution and its first and second derivatives decay in time more rapidly than observed in general if the initial datum lies in a suitable weighted space. (C) 2010 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000288307900007 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11866]  |
| 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. Decay results of solutions to the incompressible Navier-Stokes flows in a half space[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2011,250(10):3937-3959. |
| APA | Han, Pigong.(2011).Decay results of solutions to the incompressible Navier-Stokes flows in a half space.JOURNAL OF DIFFERENTIAL EQUATIONS,250(10),3937-3959. |
| MLA | Han, Pigong."Decay results of solutions to the incompressible Navier-Stokes flows in a half space".JOURNAL OF DIFFERENTIAL EQUATIONS 250.10(2011):3937-3959. |
入库方式： OAI收割
来源：数学与系统科学研究院
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