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

doi:10.1142/S0219493718500387

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	Long-time behavior of 3D stochastic planetary geostrophic viscous model
	Dong, Zhao1,2 ; Zhang, Rangrang 3
	2018-10-01
发表期刊	STOCHASTICS AND DYNAMICS
ISSN	0219-4937
卷号	18 期号:5 页码:48
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.
关键词	Planetary geostrophic viscous model global attractor exponential mixing finite Hausdorff dimension
DOI	10.1142/S0219493718500387
语种	英语
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
WOS类目	Statistics & Probability
WOS记录号	WOS:000444543700005
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31227
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.