Ensemble Averaging for Dynamical Systems Under Fast Oscillating Random Boundary Conditions

IMECH-IR > 非线性力学国家重点实验室

	Ensemble Averaging for Dynamical Systems Under Fast Oscillating Random Boundary Conditions
	Wang W; Ren J; Duan JQ; He GW(何国威); Wang, W (reprint author), Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China.
发表期刊	STOCHASTIC ANALYSIS AND APPLICATIONS
	2014-11-02
卷号	32 期号:6 页码:944-961
ISSN	0736-2994
摘要	This article is devoted to providing a theoretical underpinning for ensemble forecasting with rapid fluctuations in body forcing and in boundary conditions. Ensemble averaging principles are proved under suitable "mixing" conditions on random boundary conditions and on random body forcing. The ensemble averaged model is a nonlinear stochastic partial differential equation, with the deviation process (i.e., the approximation error process) quantified as the solution of a linear stochastic partial differential equation.
关键词	Ensemble Averaging Random Boundary Conditions Stochastic Partial Differential Equations Martingale. Multiscale Modeling Random Partial Differential Equations
学科领域	Mathematics
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000343314600003
项目资助者	This work was partly supported by the NSF Grant 1025422, the NSFC grants 10971225, 11028102, and 11371190, and an open grant from Laboratory for Nonlinear Mechanics at the Chinese Academy of Sciences.
课题组名称	LNM湍流
论文分区	Q3
引用统计	被引频次：7[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/49311
专题	非线性力学国家重点实验室
通讯作者	Wang, W (reprint author), Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China.
推荐引用方式 GB/T 7714	Wang W,Ren J,Duan JQ,et al. Ensemble Averaging for Dynamical Systems Under Fast Oscillating Random Boundary Conditions[J]. STOCHASTIC ANALYSIS AND APPLICATIONS,2014,32,6,:944-961.
APA	Wang W,Ren J,Duan JQ,He GW,&Wang, W .(2014).Ensemble Averaging for Dynamical Systems Under Fast Oscillating Random Boundary Conditions.STOCHASTIC ANALYSIS AND APPLICATIONS,32(6),944-961.
MLA	Wang W,et al."Ensemble Averaging for Dynamical Systems Under Fast Oscillating Random Boundary Conditions".STOCHASTIC ANALYSIS AND APPLICATIONS 32.6(2014):944-961.

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
IMCAS-J2014-282.pdf（174KB）			开放获取	--	浏览下载