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Long-time behavior of 3D stochastic planetary geostrophic viscous model

文献类型：期刊论文

作者Dong, Zhao1,2; Zhang, Rangrang3
刊名STOCHASTICS AND DYNAMICS
出版日期2018-10-01
卷号18期号:5页码:48
关键词Planetary geostrophic viscous model global attractor exponential mixing finite Hausdorff dimension
ISSN号0219-4937
DOI10.1142/S0219493718500387
英文摘要In this paper, we consider the 3D planetary geostrophic viscous model driven by an additive random noise. It is proved that this model has exponential mixing property and global random attractor at the same time. Further, we deduce that the support of the integration of the invariant measure for the dynamic generated by this model is exactly a minimal global random attractor. Moreover, we show that the global random attractor has finite Hausdorff dimension.
资助项目National Natural Science Foundation of China (NSFC)[11431014] ; National Natural Science Foundation of China (NSFC)[11371041] ; Key Laboratory of Random Complex Structures and Data Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences[2008DP173182]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000444543700005
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/31226]  
专题应用数学研究所
通讯作者Zhang, Rangrang
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, RCSDS, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
3.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
推荐引用方式
GB/T 7714		 Dong, Zhao,Zhang, Rangrang. Long-time behavior of 3D stochastic planetary geostrophic viscous model[J]. STOCHASTICS AND DYNAMICS,2018,18(5):48.
APA Dong, Zhao,&Zhang, Rangrang.(2018).Long-time behavior of 3D stochastic planetary geostrophic viscous model.STOCHASTICS AND DYNAMICS,18(5),48.
MLA Dong, Zhao,et al."Long-time behavior of 3D stochastic planetary geostrophic viscous model".STOCHASTICS AND DYNAMICS 18.5(2018):48.

入库方式： OAI收割

来源：数学与系统科学研究院

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