The spatially homogeneous relativistic Boltzmann equation with a hard potential

Abstract

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.

21 pages

References in corpus (2)

• Global solutions for the relativistic Boltzmann equation in the homogeneous case on the Minkowski space-time
• Global existence of solutions for the relativistic Boltzmann equation on the flat Robertson-Walker space-time for arbitrarily large intial data