具有$Λ>0$的FLRW时空中Israel粒子的晚时行为
Late-time behaviour of Israel particles in a FLRW spacetime with $Λ>0$
摘要：
本文研究了空间平坦FLRW时空中的相对论Boltzmann方程。我们认为以色列粒子，这是相对论对应的麦克斯韦粒子，并获得全球的时间存在性和渐近行为的解决方案。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应用于研究宇宙学情况下的小解。这是第一个结果，这种类型的一个物理动机良好的散射内核被认为是广义相对论玻尔兹曼方程。
英文摘要：
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.
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