1301.0106 (Ho Lee et al.)

The spatially homogeneous relativistic Boltzmann equation with a hard
potential    [PDF]

Ho Lee, Alan D. Rendall

In this paper, we study spatially homogeneous solutions of the Boltzmann equation in special relativity and in Robertson-Walker spacetimes. We obtain an analogue of the Povzner inequality in the relativistic case and use it to prove global existence theorems. We show that global solutions exist for a certain class of collision cross sections of the hard potential type in Minkowski space and in spatially flat Robertson-Walker spacetimes.

View original: http://arxiv.org/abs/1301.0106