The spatially homogeneous Boltzmann equation for massless particles in an FLRW background

Abstract

We study the spatially homogeneous relativistic Boltzmann equation for massless particles in an FLRW background with scattering kernels in a certain range of soft and hard potentials. We obtain the future global existence of small solutions in a weighted $L^1\cap L^{\infty }$ space.

References in corpus (5)

• Asymptotic Stability of the Relativistic Boltzmann Equation for the Soft Potentials
• Nonlinear dynamics from the relativistic Boltzmann equation in the Friedmann-Lemaître-Robertson-Walker spacetime
• Isotropic cosmological singularities in spatially-homogeneous models with a cosmological constant
• Bianchi I solutions of the Einstein-Boltzmann system with a positive cosmological constant
• Late-time behaviour of the Einstein-Boltzmann system with a positive cosmological constant

Cited by in corpus (1)

• Well-posedness of anisotropic and homogeneous solutions to the Einstein-Boltzmann system with a conformal-gauge singularity