KMS Of Academy of mathematics and systems sciences, CAS
EFFECTIVE DYNAMICS OF A COUPLED MICROSCOPIC-MACROSCOPIC STOCHASTIC SYSTEM | |
Ren Jian1; Fu Hongbo1; Cao Daomin2![]() | |
2010-11-01 | |
发表期刊 | ACTA MATHEMATICA SCIENTIA
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ISSN | 0252-9602 |
卷号 | 30期号:6页码:2064-2076 |
摘要 | A conceptual model for microscopic-macroscopic slow-fast stochastic systems is considered. A dynamical reduction procedure is presented in order to extract effective dynamics for this kind of systems. Under appropriate assumptions, the effective system is shown to approximate the original system, in the sense of a probabilistic convergence. |
关键词 | microscopic-macroscopic system stochastic partial differential equations averaging principle effective dynamics slow-fast scales |
语种 | 英语 |
资助项目 | NSF of China[10901065] ; NSF of China[10971225] ; NSF of China[11028102] ; NSF[1025422] ; NSF[0731201] ; Cheung Kong Scholars Program ; State Key Laboratory for Nonlinear Mechanics at the Chinese Academy of Sciences |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000284793000016 |
出版者 | ELSEVIER SCIENCE INC |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/10845 |
专题 | 应用数学研究所 |
通讯作者 | Ren Jian |
作者单位 | 1.Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 3.IIT, Dept Appl Math, Chicago, IL 60616 USA |
推荐引用方式 GB/T 7714 | Ren Jian,Fu Hongbo,Cao Daomin,et al. EFFECTIVE DYNAMICS OF A COUPLED MICROSCOPIC-MACROSCOPIC STOCHASTIC SYSTEM[J]. ACTA MATHEMATICA SCIENTIA,2010,30(6):2064-2076. |
APA | Ren Jian,Fu Hongbo,Cao Daomin,&Duan Jinqiao.(2010).EFFECTIVE DYNAMICS OF A COUPLED MICROSCOPIC-MACROSCOPIC STOCHASTIC SYSTEM.ACTA MATHEMATICA SCIENTIA,30(6),2064-2076. |
MLA | Ren Jian,et al."EFFECTIVE DYNAMICS OF A COUPLED MICROSCOPIC-MACROSCOPIC STOCHASTIC SYSTEM".ACTA MATHEMATICA SCIENTIA 30.6(2010):2064-2076. |
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