Recent development in kinetic theory of granular materials: analysis and numerical methods
Analysis of PDEs
2020-01-31 v1 Numerical Analysis
Numerical Analysis
Abstract
Over the past decades, kinetic description of granular materials has received a lot of attention in mathematical community and applied fields such as physics and engineering. This article aims to review recent mathematical results in kinetic granular materials, especially for those which arose since the last review by Villani on the same subject. We will discuss both theoretical and numerical developments. We will finally showcase some important open problems and conjectures by means of numerical experiments based on spectral methods.
Cite
@article{arxiv.2001.11206,
title = {Recent development in kinetic theory of granular materials: analysis and numerical methods},
author = {Jose Antonio Carrillo and Jingwei Hu and Zheng Ma and Thomas Rey},
journal= {arXiv preprint arXiv:2001.11206},
year = {2020}
}
Comments
33 pages