KMS Of Academy of mathematics and systems sciences, CAS
| A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA | |
Roeckner, Michael3; Zhu, Rongchan1,3; Zhu, Xiangchan2,3,4
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| 2019-08-01 | |
| Source Publication | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
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| ISSN | 1531-3492 |
| Volume | 24Issue:8Pages:4021-4030 |
| Abstract | 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]). |
| Keyword | Stochastic vorticity equations controlled rough path small initial data |
| DOI | 10.3934/dcdsb.2019048 |
| Language | 英语 |
| Funding Project | NSFC[11671035] ; NSFC[11771037] ; DFG[CRC 1283] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000473268000028 |
| Publisher | AMER INST MATHEMATICAL SCIENCES-AIMS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35104 |
| Collection | 应用数学研究所 |
| Corresponding Author | Zhu, Xiangchan |
| Affiliation | 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 |
| 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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