@article{bd8ad68506994877a3cd2aeabca04226,
title = "Large deviation principles for first-order scalar conservation laws with stochastic forcing",
abstract = "In this paper, we established the Freidlin-Wentzell-type large deviation principles for first-order scalar conservation laws perturbed by small multiplicative noise. Due to the lack of the viscous terms in the stochastic equations, the kinetic solution to the Cauchy problem for these first-order conservation laws is studied. Then, based on the well-posedness of the kinetic solutions, we show that the large deviations holds by utilising the weak convergence approach.",
keywords = "First-order conservation laws, Kinetic solution, Large deviations, Weak convergence approach",
author = "Zhao Dong and Wu, {Jiang Lun} and Rangrang Zhang and Tusheng Zhang",
note = "Publisher Copyright: {\textcopyright} 2020 Institute of Mathematical Statistics.",
year = "2020",
month = feb,
doi = "10.1214/19-AAP1503",
language = "English",
volume = "30",
pages = "324--367",
journal = "Annals of Applied Probability",
issn = "1050-5164",
publisher = "Institute of Mathematical Statistics",
number = "1",
}