A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA | |
Roeckner, Michael2; Zhu, Rongchan2,4; Zhu, Xiangchan1,2,3 | |
刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
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2019-08-01 | |
卷号 | 24期号:8页码:4021-4030 |
关键词 | Stochastic vorticity equations controlled rough path small initial data |
ISSN号 | 1531-3492 |
DOI | 10.3934/dcdsb.2019048 |
英文摘要 | 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]). |
资助项目 | NSFC[11671035] ; NSFC[11771037] ; DFG[CRC 1283] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
WOS记录号 | WOS:000473268000028 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35103] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Zhu, Xiangchan |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Bielefeld, Dept Math, D-33615 Bielefeld, Germany 3.Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China 4.Beijing Inst Technol, Dept Math, Beijing 100081, 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. |
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