markovselectionandwstrongfellerfor3dstochasticprimitiveequations

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	markovselectionandwstrongfellerfor3dstochasticprimitiveequations
	Dong Zhao; Zhang Rangrang
	2017
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	60 期号:10 页码:1873
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.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/36559
专题	应用数学研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Dong Zhao,Zhang Rangrang. markovselectionandwstrongfellerfor3dstochasticprimitiveequations[J]. sciencechinamathematics,2017,60(10):1873.
APA	Dong Zhao,&Zhang Rangrang.(2017).markovselectionandwstrongfellerfor3dstochasticprimitiveequations.sciencechinamathematics,60(10),1873.
MLA	Dong Zhao,et al."markovselectionandwstrongfellerfor3dstochasticprimitiveequations".sciencechinamathematics 60.10(2017):1873.