KMS Of Academy of mathematics and systems sciences, CAS
| markovselectionandwstrongfellerfor3dstochasticprimitiveequations | |
Dong Zhao ; Zhang Rangrang
| |
| 2017 | |
| Source Publication | sciencechinamathematics
 |
| ISSN | 1674-7283 |
| Volume | 60Issue:10Pages:1873 |
| 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. |
| Language | 英语 |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/36559 |
| Collection | 应用数学研究所 |
| Affiliation | 中国科学院数学与系统科学研究院 |
| Recommended Citation 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. |
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