Rate of convergence of the Kac-like particle system
Probability
2020-10-22 v2
Abstract
In this paper, we consider the Kac stochastic particle system associated to the spatially homogeneous Boltzmann equation for true hard potentials. We establish a rate of propagation of chaos of the particle system to the unique solution of the Boltzmann equation. We use a probabilistic coupling method and give, under suitable assumptions on the initial condition, a rate of convergence of the empirical measure of the particle system to the solution of the Boltzmann equation for this singular interaction.
Keywords
Cite
@article{arxiv.2009.07556,
title = {Rate of convergence of the Kac-like particle system},
author = {Chenguang Liu and Liping Xu},
journal= {arXiv preprint arXiv:2009.07556},
year = {2020}
}
Comments
There are too much mistakes in the paper which we cannot fix them in a short time. There is no replacement available