散粒体动力学理论的最新进展：分析与数值方法
Recent development in kinetic theory of granular materials: analysis and numerical methods
摘要：
在过去的几十年里，颗粒物质的动力学描述在数学界和物理、工程等应用领域受到了广泛的关注。本文的目的是回顾最近的数学结果在动力学颗粒材料，特别是对于那些自上次审查维拉尼在同一主题。我们将讨论理论和数值的发展。最后，我们将通过基于谱方法的数值实验来展示一些重要的开放问题和解决方案。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
