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Long-time behavior of 3D stochastic planetary geostrophic viscous model
Dong, Zhao1,2; Zhang, Rangrang3
2018-10-01
Source PublicationSTOCHASTICS AND DYNAMICS
ISSN0219-4937
Volume18Issue:5Pages:48
AbstractIn 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.
KeywordPlanetary geostrophic viscous model global attractor exponential mixing finite Hausdorff dimension
DOI10.1142/S0219493718500387
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000444543700005
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31227
Collection应用数学研究所
Affiliation1.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
Recommended Citation
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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