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	Long-time behavior of 3D stochastic planetary geostrophic viscous model
	Dong, Zhao1,2; Zhang, Rangrang3
刊名	STOCHASTICS AND DYNAMICS
	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
DOI	10.1142/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
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号	WOS:000444543700005
内容类型	期刊论文
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.

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