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arXiv · 1301.0106

The spatially homogeneous relativistic Boltzmann equation with a hard potential

Ho Lee·Alan D. Rendall
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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.

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Ho Lee, Alan D. Rendall. 2013-01-01. The spatially homogeneous relativistic Boltzmann equation with a hard potential. https://arxiv.org/abs/1301.0106

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