Central limit theorem and moderate deviation principle for stochastic scalar conservation laws

doi:10.1016/j.jmaa.2022.126445

	Central limit theorem and moderate deviation principle for stochastic scalar conservation laws
	Wu, Zhengyan 1,2; Zhang, Rangrang 3
刊名	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
	2022-12-01
卷号	516 期号:1 页码:26
关键词	Stochastic scalar conservation laws Weak convergence method Doubling of variables method Central limit theorem Moderate deviation principle Kinetic solution
ISSN号	0022-247X
DOI	10.1016/j.jmaa.2022.126445
英文摘要	We establish a central limit theorem and prove a moderate deviation principle for stochastic scalar conservation laws. Because of the lack of a viscous term, this is done in the framework of the kinetic solution. The weak convergence method and the doubling of variables method play a key role. (c) 2022 Elsevier Inc. All rights reserved.
资助项目	Beijing Natural Science Foundation[1212008] ; National Natural Science Foundation of China[12171032] ; National Natural Science Foundation of China[11971227] ; National Natural Science Foundation of China[12071123] ; Key Laboratory of Random Complex Structures and Data Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences[2008DP173182] ; Beijing Institute of Technology Research Fund Program for Young Scholars ; MIIT Key Laboratory of Mathematical Theory and Computation in Information Security
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000854015600001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61019]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Rangrang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Bielefeld, Dept Math, D-33615 Bielefeld, Germany 3.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Wu, Zhengyan,Zhang, Rangrang. Central limit theorem and moderate deviation principle for stochastic scalar conservation laws[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2022,516(1):26.
APA	Wu, Zhengyan,&Zhang, Rangrang.(2022).Central limit theorem and moderate deviation principle for stochastic scalar conservation laws.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,516(1),26.
MLA	Wu, Zhengyan,et al."Central limit theorem and moderate deviation principle for stochastic scalar conservation laws".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 516.1(2022):26.