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

3 Citations (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

Access to Document

10.1016/j.jmaa.2022.126445

Cite this

@article{1af75eaac9e34f918d66039d821685a3,

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",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",

year = "2022",

month = dec,

day = "1",

doi = "10.1016/j.jmaa.2022.126445",

language = "English",

volume = "516",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Central limit theorem and moderate deviation principle for stochastic scalar conservation laws

AU - Wu, Zhengyan

AU - Zhang, Rangrang

PY - 2022/12/1

Y1 - 2022/12/1

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

U2 - 10.1016/j.jmaa.2022.126445

DO - 10.1016/j.jmaa.2022.126445

M3 - Article

AN - SCOPUS:85134819111

SN - 0022-247X

VL - 516

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

M1 - 126445

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this