论文标题
动力学理论的最新发展：分析和数值方法
Recent development in kinetic theory of granular materials: analysis and numerical methods
论文作者
论文摘要
在过去的几十年中，对颗粒材料的动力学描述在数学社区和应用领域（例如物理和工程）中引起了很多关注。本文旨在回顾动力学颗粒材料的最新数学结果，尤其是对于比利亚尼对同一主题进行了最后一次评论以来出现的那些材料。我们将讨论理论和数值发展。我们最终将通过基于光谱方法的数值实验来展示一些重要的开放问题和猜想。
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.
