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

Zhengyan Wu; Rangrang Zhang

doi:10.1016/j.jmaa.2022.126445

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

Zhengyan Wu
, Rangrang Zhang^*

^*此作品的通讯作者

数学学院

Chinese Academy of Sciences
Bielefeld University

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

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.

源语言	英语
期刊论文编号	126445
期刊	Journal of Mathematical Analysis and Applications
卷	516
期	1
DOI	https://doi.org/10.1016/j.jmaa.2022.126445
出版状态	已出版 - 1 12月 2022

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10.1016/j.jmaa.2022.126445

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title = "Central limit theorem and moderate deviation principle for stochastic scalar conservation laws",

abstract = "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.",

keywords = "Central limit theorem, Doubling of variables method, Kinetic solution, Moderate deviation principle, Stochastic scalar conservation laws, Weak convergence method",

author = "Zhengyan Wu and Rangrang Zhang",

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AU - Wu, Zhengyan

AU - Zhang, Rangrang

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N2 - 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.

AB - 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.

KW - Central limit theorem

KW - Doubling of variables method

KW - Kinetic solution

KW - Moderate deviation principle

KW - Stochastic scalar conservation laws

KW - Weak convergence method

UR - https://www.scopus.com/pages/publications/85134819111

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DO - 10.1016/j.jmaa.2022.126445

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JO - Journal of Mathematical Analysis and Applications

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

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