论文标题
简要介绍了缩放限制和动力学理论的有效方程式
A brief introduction to the scaling limits and effective equations in kinetic theory
论文作者
论文摘要
这些讲义提供了有关经典粒子系统有效方程式简短介绍课程的材料。他们涉及由Boltzmann和Landau撰写的动力学理论中的基本方程式，分别描述了稀有气体和弱相互作用的等离子体。这些方程可以在适当的缩放限制下正式得出，将经典粒子系统作为起点。严格证明这种限制程序是困难的，并且仍然在很大程度上开放。我们讨论在这种情况下引起的一些数学问题。
These lecture notes provide the material for a short introductory course on effective equations for classical particle systems. They concern the basic equations in kinetic theory, written by Boltzmann and Landau, describing rarefied gases and weakly interacting plasmas respectively. These equations can be derived formally, under suitable scaling limits, taking classical particle systems as a starting point. A rigorous proof of this limiting procedure is difficult and still largely open. We discuss some mathematical problems arising in this context.
