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

doi:10.1007/s11425-016-0336-y

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	Markov selection and W-strong Feller for 3D stochastic primitive equations
	Dong, Zhao; Zhang, RangRang
	2017-10-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	60 期号:10 页码:1873-1900
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.
关键词	primitive equations Markov selection W-strong Feller
DOI	10.1007/s11425-016-0336-y
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000410823100009
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26598
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.