English

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

Probability 2022-08-31 v2

Abstract

We establish a central limit theorem and prove a moderate deviation principle for stochastic scalar conservation laws. Due to the lack of viscous term, this is done in the framework of kinetic solution. The weak convergence method and doubling variables method play a key role.

Keywords

Cite

@article{arxiv.2105.11253,
  title  = {Central limit theorem and moderate deviation principle for stochastic scalar conservation laws},
  author = {Zhengyan Wu and Rangrang Zhang},
  journal= {arXiv preprint arXiv:2105.11253},
  year   = {2022}
}

Comments

Published at https://doi.org/10.1016/j.jmaa.2022.126445 in the Journal of Mathematical Analysis and Applications

R2 v1 2026-06-24T02:24:19.754Z