标题： Israel粒子在具有$Λ>0$的FLRW时空中的晚期行为 显示英文标题

标题： Late-time behaviour of Israel particles in a FLRW spacetime with $Λ>0$

摘要： 在本文中，我们研究了空间平坦FLRW时空中的相对论玻尔兹曼方程。我们考虑伊萨克粒子，它们是麦克斯韦粒子的相对论对应物，并获得了解的全局时间存在性和渐近行为。本文的主要论点是使用郭的能量方法，我们观察到该方法可以用于研究宇宙学情况下的小解。这是首次考虑物理上合理散射核的此类结果，用于一般的相对论玻尔兹曼方程。 显示英文摘要

摘要： In this paper we study the relativistic Boltzmann equation in a spatially flat FLRW spacetime. We consider Israel particles, which are the relativistic counterpart of the Maxwellian particles, and obtain global-in-time existence and the asymptotic behaviour of solutions. The main argument of the paper is to use the energy method of Guo, and we observe that the method can be applied to study small solutions in a cosmological case. It is the first result of this type where a physically well-motivated scattering kernel is considered for the general relativistic Boltzmann equation.