KMS Of Academy of mathematics and systems sciences, CAS
| Markov selection and W-strong Feller for 3D stochastic primitive equations | |
Dong, Zhao ; Zhang, RangRang
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| 2017-10-01 | |
| Source Publication | SCIENCE CHINA-MATHEMATICS
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| ISSN | 1674-7283 |
| Volume | 60Issue:10Pages:1873-1900 |
| Abstract | This paper studies some analytical properties of weak solutions of 3D stochastic primitive equations with periodic boundary conditions. The martingale problem associated to this model is shown to have a family of solutions satisfying the Markov property, which is achieved by means of an abstract selection principle. The Markov property is crucial to extend the regularity of the transition semigroup from small times to arbitrary times. Thus, under a regular additive noise, every Markov solution is shown to have a property of continuous dependence on initial conditions, which follows from employing the weak-strong uniqueness principle and the Bismut-Elworthy-Li formula. |
| Keyword | primitive equations Markov selection W-strong Feller |
| DOI | 10.1007/s11425-016-0336-y |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11431014] ; National Natural Science Foundation of China[11371041] ; National Natural Science Foundation of China[11401557] ; National Natural Science Foundation of China[11271356] ; Fundamental Research Funds for the Central Universities[0010000048] ; Key Laboratory of Random Complex Structures and Data Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences[2008DP173182] ; Applied Mathematical Research for the Important Strategic Demand of China in Information Science and Related Fields[2011CB808000] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000410823100009 |
| Publisher | SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/26598 |
| Collection | 应用数学研究所 |
| Corresponding Author | Zhang, RangRang |
| Affiliation | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Dong, Zhao,Zhang, RangRang. Markov selection and W-strong Feller for 3D stochastic primitive equations[J]. SCIENCE CHINA-MATHEMATICS,2017,60(10):1873-1900. |
| APA | Dong, Zhao,&Zhang, RangRang.(2017).Markov selection and W-strong Feller for 3D stochastic primitive equations.SCIENCE CHINA-MATHEMATICS,60(10),1873-1900. |
| MLA | Dong, Zhao,et al."Markov selection and W-strong Feller for 3D stochastic primitive equations".SCIENCE CHINA-MATHEMATICS 60.10(2017):1873-1900. |
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