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On Weighted Estimates for the Stokes Flows, with Application to the Navier-Stokes Equations
Han, Pigong1,2
2018-09-01
Source PublicationJOURNAL OF MATHEMATICAL FLUID MECHANICS
ISSN1422-6928
Volume20Issue:3Pages:1155-1172
AbstractWeighted 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.
KeywordStokes flow Solution formula Weighted estimate Strong solution
DOI10.1007/s00021-018-0360-y
Language英语
Funding ProjectNSFC[11471322] ; NSFC-NRF[11611540331] ; Key Laboratory of RCSDS, CAS[2008DP173182] ; Youth Innovation Promotion Association of the Chinese Academy of Sciences
WOS Research AreaMathematics ; Mechanics ; Physics
WOS SubjectMathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS IDWOS:000441287600013
PublisherSPRINGER BASEL AG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30840
Collection应用数学研究所
Affiliation1.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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