两粒子的Vlasov-Maxwell-Boltzmann方程组中一个算子的紧性证明
A PROOF OF COMPACT OPERATOR OF THE TWO SPECIES VLASOV-MAXWELL-BOLTZMANN EQUATIONS

本文主要研究紧算子在Vlasov-Maxwell-Boltzmann方程组中的应用的问题.利用紧算子的定义，获得了描述不同质量两粒子模型的线性Boltzmann算子的一个紧性结果.
In this paper, we mainly investigate an application of compact operators to the Vlasov-Maxwell-Boltzmann equations. By using the definition of compact operators, we prove a compactness result of the linear Boltzmann operator of a two species model with different mass