A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA

doi:10.3934/dcdsb.2019048

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	A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA
	Roeckner, Michael 3; Zhu, Rongchan 1,3; Zhu, Xiangchan2,3,4
	2019-08-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	24 期号:8 页码:4021-4030
摘要	In 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]).
关键词	Stochastic vorticity equations controlled rough path small initial data
DOI	10.3934/dcdsb.2019048
语种	英语
资助项目	NSFC[11671035] ; NSFC[11771037] ; DFG[CRC 1283]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000473268000028
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35104
专题	应用数学研究所
通讯作者	Zhu, Xiangchan
作者单位	1.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
推荐引用方式 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.