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Markov selection and W-strong Feller for 3D stochastic primitive equations

文献类型：期刊论文

作者Dong, Zhao; Zhang, RangRang
刊名SCIENCE CHINA-MATHEMATICS
出版日期2017-10-01
卷号60期号:10页码:1873-1900
关键词primitive equations Markov selection W-strong Feller
ISSN号1674-7283
DOI10.1007/s11425-016-0336-y
英文摘要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.
资助项目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研究方向Mathematics
语种英语
WOS记录号WOS:000410823100009
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/26597]  
专题应用数学研究所
通讯作者Zhang, RangRang
作者单位Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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