Effective macroscopic dynamics of stochastic partial differential equations in perforated domains

doi:10.1137/050648766

CSpace > 应用数学研究所

	Effective macroscopic dynamics of stochastic partial differential equations in perforated domains
	Wang, Wei ; Cao, Daomin; Duan, Jinqiao
	2007
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	38 期号:5 页码:1508-1527
摘要	An effective macroscopic model for a stochastic microscopic system is derived. The original microscopic system is modeled by a stochastic partial differential equation ( SPDE) defined on a domain perforated with small holes or heterogeneities. The homogenized effective model is still an SPDE but defined on a unified domain without holes. The solutions of the microscopic model are shown to converge to those of the effective macroscopic model in probability distribution as the size of holes diminishes to zero. Moreover, the long time effectivity of the macroscopic system, in the sense of convergence in probability distribution, and the effectivity of the macroscopic system, in the sense of convergence in energy, are also proved.
关键词	stochastic PDEs effective macroscopic model stochastic homogenization white noise probability distribution perforated domain
DOI	10.1137/050648766
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000244631400007
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4917
专题	应用数学研究所
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,Cao, Daomin,Duan, Jinqiao. Effective macroscopic dynamics of stochastic partial differential equations in perforated domains[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2007,38(5):1508-1527.
APA	Wang, Wei,Cao, Daomin,&Duan, Jinqiao.(2007).Effective macroscopic dynamics of stochastic partial differential equations in perforated domains.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,38(5),1508-1527.
MLA	Wang, Wei,et al."Effective macroscopic dynamics of stochastic partial differential equations in perforated domains".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 38.5(2007):1508-1527.