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^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Article number	126445
Journal	Journal of Mathematical Analysis and Applications
Volume	516
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2022.126445
Publication status	Published - 1 Dec 2022

Keywords

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

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10.1016/j.jmaa.2022.126445

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Wu, Z., & Zhang, R. (2022). Central limit theorem and moderate deviation principle for stochastic scalar conservation laws. Journal of Mathematical Analysis and Applications, 516(1), Article 126445. https://doi.org/10.1016/j.jmaa.2022.126445

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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 - 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.

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KW - Doubling of variables method

KW - Kinetic solution

KW - Moderate deviation principle

KW - Stochastic scalar conservation laws

KW - Weak convergence method

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

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Keywords

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