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

doi:10.1016/j.jmaa.2022.126445

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	Central limit theorem and moderate deviation principle for stochastic scalar conservation laws
	Wu, Zhengyan 1,2; Zhang, Rangrang 3
	2022-12-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	516 期号:1 页码:26
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.
关键词	Stochastic scalar conservation laws Weak convergence method Doubling of variables method Central limit theorem Moderate deviation principle Kinetic solution
DOI	10.1016/j.jmaa.2022.126445
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000854015600001
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61020
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.