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Averaging principle for one dimensional stochastic Burgers equation

文献类型：期刊论文

作者Dong, Zhao1,2; Sun, Xiaobin3; Xiao, Hui1,2,4; Zhai, Jianliang5
刊名JOURNAL OF DIFFERENTIAL EQUATIONS
出版日期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
DOI10.1016/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
WOS记录号WOS:000443799100002
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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