Averaging principle for one dimensional stochastic Burgers equation

doi:10.1016/j.jde.2018.06.020

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	Averaging principle for one dimensional stochastic Burgers equation
	Dong, Zhao1,2 ; Sun, Xiaobin 3; Xiao, Hui 1,2,4; Zhai, Jianliang 5
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2018-11-15
卷号	265 期号:10 页码:4749-4797
关键词	Stochastic Burgers' equation Averaging principle Ergodicity Invariant measure Strong convergence Weak convergence
ISSN号	0022-0396
DOI	10.1016/j.jde.2018.06.020
英文摘要	In this paper, we consider the averaging principle for one dimensional stochastic Burgers equation with slow and fast time-scales. Under some suitable conditions, we show that the slow component strongly converges to the solution of the corresponding averaged equation. Meanwhile, when there is no noise in the slow component equation, we also prove that the slow component weakly converges to the solution of the corresponding averaged equation with the order of convergence 1 - r, for any 0 < r < 1. (C) 2018 Elsevier Inc. All rights reserved.
资助项目	Key Laboratory of Random Complex Structures and Data Science, PCSDS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences[2008DP173182] ; Priority Academic Program Development of Jiangsu Higher Education Institutions ; Natural Science Foundation of the Higher Education Institutions of Jiangsu Province[16KJB110006] ; Key Research Program of Frontier Sciences, CAS[QYZDB-SSW-SYS009] ; Fundamental Research Funds for the Central Universities[WK 3470000008] ; NSFC[11271356] ; NSFC[11371041] ; NSFC[11431014] ; NSFC[11271169] ; NSFC[11601196] ; NSFC[11771187] ; NSFC[11671372] ; NSFC[11721101]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000443799100002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/31170]
专题	应用数学研究所
通讯作者	Xiao, Hui
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, RCSDS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 3.Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China 4.Univ Bretagne Sud, LMBA UMR CNRS 6205, Vannes, France 5.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
推荐引用方式 GB/T 7714	Dong, Zhao,Sun, Xiaobin,Xiao, Hui,et al. Averaging principle for one dimensional stochastic Burgers equation[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2018,265(10):4749-4797.
APA	Dong, Zhao,Sun, Xiaobin,Xiao, Hui,&Zhai, Jianliang.(2018).Averaging principle for one dimensional stochastic Burgers equation.JOURNAL OF DIFFERENTIAL EQUATIONS,265(10),4749-4797.
MLA	Dong, Zhao,et al."Averaging principle for one dimensional stochastic Burgers equation".JOURNAL OF DIFFERENTIAL EQUATIONS 265.10(2018):4749-4797.