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A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA
Roeckner, Michael3; Zhu, Rongchan1,3; Zhu, Xiangchan2,3,4
2019-08-01
Source PublicationDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN1531-3492
Volume24Issue:8Pages:4021-4030
AbstractIn this paper, we prove that the solution constructed in [2] satisfies the stochastic vorticity equations with the stochastic integration being understood in the sense of the integration of controlled rough path introduced in [x]. As a result, we obtain the existence and uniqueness of the global solutions to the stochastic vorticity equations in 3D case for the small initial data independent of time, which can be viewed as a stochastic version of the Kato-Fujita result (see [10]).
KeywordStochastic vorticity equations controlled rough path small initial data
DOI10.3934/dcdsb.2019048
Language英语
Funding ProjectNSFC[11671035] ; NSFC[11771037] ; DFG[CRC 1283]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000473268000028
PublisherAMER INST MATHEMATICAL SCIENCES-AIMS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35104
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhu, Xiangchan
Affiliation1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
2.Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China
3.Univ Bielefeld, Dept Math, D-33615 Bielefeld, Germany
4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Roeckner, Michael,Zhu, Rongchan,Zhu, Xiangchan. A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2019,24(8):4021-4030.
APA Roeckner, Michael,Zhu, Rongchan,&Zhu, Xiangchan.(2019).A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,24(8),4021-4030.
MLA Roeckner, Michael,et al."A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 24.8(2019):4021-4030.
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