Central limit theorem and moderate deviation principle for stochastic scalar conservation laws
arXiv:2105.11253 · doi:10.1016/j.jmaa.2022.126445
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.
Published at https://doi.org/10.1016/j.jmaa.2022.126445 in the Journal of Mathematical Analysis and Applications