A dynamical approximation for stochastic partial differential equations

doi:10.1063/1.2800164

CSpace

	A dynamical approximation for stochastic partial differential equations
	Wang, Wei ; Duan, Jinqiao
	2007-10-01
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	48 期号:10 页码:14
摘要	Random invariant manifolds provide geometric structures for understanding stochastic dynamics. In this paper, a dynamical approximation estimate is derived for a class of stochastic partial differential equations, by showing that the random invariant manifold is almost surely asymptotically complete. The asymptotic dynamical behavior is thus described by a stochastic ordinary differential system on the random invariant manifold, under suitable conditions. As an application, stationary states (invariant measures) are considered for a class of stochastic hyperbolic partial differential equations. (C) 2007 American Institute of Physics.
DOI	10.1063/1.2800164
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000250589500020
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4980
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Wei
作者单位	1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.IIT, Dept Appl Math, Chicago, IL 60616 USA
推荐引用方式 GB/T 7714	Wang, Wei,Duan, Jinqiao. A dynamical approximation for stochastic partial differential equations[J]. JOURNAL OF MATHEMATICAL PHYSICS,2007,48(10):14.
APA	Wang, Wei,&Duan, Jinqiao.(2007).A dynamical approximation for stochastic partial differential equations.JOURNAL OF MATHEMATICAL PHYSICS,48(10),14.
MLA	Wang, Wei,et al."A dynamical approximation for stochastic partial differential equations".JOURNAL OF MATHEMATICAL PHYSICS 48.10(2007):14.