KMS Of Academy of mathematics and systems sciences, CAS
On Weighted Estimates for the Stokes Flows, with Application to the Navier-Stokes Equations | |
Han, Pigong1,2 | |
2018-09-01 | |
Source Publication | JOURNAL OF MATHEMATICAL FLUID MECHANICS |
ISSN | 1422-6928 |
Volume | 20Issue:3Pages:1155-1172 |
Abstract | 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. |
Keyword | Stokes flow Solution formula Weighted estimate Strong solution |
DOI | 10.1007/s00021-018-0360-y |
Language | 英语 |
Funding Project | NSFC[11471322] ; NSFC-NRF[11611540331] ; Key Laboratory of RCSDS, CAS[2008DP173182] ; Youth Innovation Promotion Association of the Chinese Academy of Sciences |
WOS Research Area | Mathematics ; Mechanics ; Physics |
WOS Subject | Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas |
WOS ID | WOS:000441287600013 |
Publisher | SPRINGER BASEL AG |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/30840 |
Collection | 应用数学研究所 |
Affiliation | 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 |
Recommended Citation 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. |
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