Global existence of solutions for the relativistic Boltzmann equation with arbitrarily large initial data on a Bianchi type I space-time

Abstract

We prove, for the relativistic Boltzmann equation on a Bianchi type I space-time, a global existence and uniqueness theorem, for arbitrarily large initial data.

17 pages

References in corpus (1)

• Global solutions for the relativistic Boltzmann equation in the homogeneous case on the Minkowski space-time

Cited by in corpus (9)

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• Global Existence of Solutions for the Einstein-Boltzmann System in a Bianchi Type I Space-Time
• Future global existence and asymptotic behaviour of solutions to the Einstein-Boltzmann system with Bianchi I symmetry
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• The spatially homogeneous Boltzmann equation for massless particles in an FLRW background
• The spatially homogeneous relativistic Boltzmann equation with a hard potential
• Asymptotic behaviour of the relativistic Boltzmann equation in the Robertson-Walker spacetime
• Well-posedness of anisotropic and homogeneous solutions to the Einstein-Boltzmann system with a conformal-gauge singularity
• Global Dynamics for a relativistic charged and colliding plasma in presence of a massive scalar field on the Robertson-Walker spacetime